Answer:
Conclusion: x = 0
Step-by-step explanation:
given: If a ● b = 0, then a = 0 or b = 0
then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)
Please answer ASAP first to answer correctly gets brainly
Grace completed 3 dives in a school diving competition. Her scores were 9.7, 8.6, and 9.3. What is her average score?
A) 9.0
B) 9.2
C) 9.4
D) 9.8
Answer:
B) 9.2
Step-by-step explanation:
To find an average, you have to combine all of your numbers and then divide by how many there are.
So first, combine the values.
9.7 + 8.6 + 9.3 = 27.6
Now, divide by how many numbers you had, which is 3.
27.6 ÷ 3 = 9.2
Firstly , combine the all values
[tex]9.7 + 8.6 + 9.3 = 27.6[/tex]
Now , divided by 3
[tex] 27.6 \div 3 \\ \\ \frac{27.6}{3} \\ \\ 9.2 [/tex]
The correct answer is 9.2 - option (b) (✔)
Describe the symmetry of the plane figure shown below. Select all that apply.
A.horizontal line symmetry
B.vertical line symmetry
C.diagonal line symmetry
D.rotational symmetry
Answer:
B. vertical line symmetry C. diagonal line symmetry D. rotational symmetryStep-by-step explanation:
Any line through a vertex and the center of the opposite side is a line of symmetry. One of them is vertical in the figure shown. Two of them are diagonal. The three lines are 360°/3 = 120° apart, so the figure has 3-fold rotational symmetry.
Which of the following equations represents a quadratic function?
Answer:
I think B is right because,
5x-3y=-6
or,5x_3y+6=o
now,we representing quadratic formula
The equation that represents a quadratic function is y = 2x² - 12x + 9
Which of the equations represents a quadratic function?
From the question, we have the following parameters that can be used in our computation:
The equations
By definition
A quadratic function is represented as any of the following forms
y = ax² + bx + c
y = a(x - h)² + k
Using the above as a guide, we have the following:
The equation that is a quadratic function is y = 2x² - 12x + 9
Others are not quadratic functions
What is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first
Answer:
13/102
Step-by-step explanation:
There are 52 cards in a standard deck (not including the jokers).
So let's start with the first thing... the red part. Half the deck is red which means 52/2=26 cards are red.
So the probability of the red being drawn is 26/52 (I'm going to keep it an un-reduced form for now)
So now since it says we don't replace (we don't put the card back into the deck), there is only 51 cards to choose from now. There are 4 suits so there are 13 of each kind of suit. So to draw a spade, the probability would be 13/51.
So the end: The probability of drawing a red then a spade without replacing is the multiplication of these probabilities I found:
So the answer is 26/52 * 13/51=13/102
it costs Casey $52.50 to buy 14 gallons of gas. What was the cost per gallon of gas?
Answer:
3.75
Step-by-step explanation:
It would cost Casey $3.75
If you divide 52.50 by 14 you get 3.75
this is a way to find the cost of one gallon
Hope this helps :)
If it does please mark brainliest :D
- A.Hazle <3
Is the orthocenter of a triangle on the inside ?
Answer:
It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
If a quadratic equation has a real root, what do you know about the other roots of the equation? Explain.
Answer:
A Quadratic Equation can have upto 2 roots maximum. So,if one of the roots is a Real number, there are following two possibilities:
1) The other root is also a real number, but a different number
2) Its a repeated root, so the other root is the same number.
The other root cannot be a complex number as its not possible for one root to be real and other to be complex. Either no root will be complex or both will be complex roots.
Following are 3 possibilities for the roots of a quadratic equation:
2 Real and Distinct roots2 Real and Equal roots2 Complex rootsPlease help
Me. Which is equivalent
ANSWER
The equivalent form is 8.
EXPLANATION
The given expression is
[tex] ({16}^{ \frac{3}{2} } )^{ \frac{1}{2} } [/tex]
This is the same as:
[tex] {16}^{ \frac{3}{2} \times \frac{1}{2} } [/tex]
[tex]{16}^{ \frac{3}{4}} [/tex]
[tex]{16}^{ \frac{3}{4}} = { {2}^{4 \times } }^{ \frac{3}{4}} [/tex]
We cancel out the common factors in the exponents to get,
[tex]{2}^{3} = 8[/tex]
The correct answer is B.
I am rectangle. Each of my shorter sides measures 5 meters. My area is 45 sq.meters. What is the length of each of my longer sides?
Answer:
9
Step-by-step explanation:
9x5 is 45
Five out of eight cousins can do 15 push-ups in one set. Write a decimal that is equivalent to the fraction of cousins who can do 15 push-ups. Round your decimal to the nearest hundredth.
Answer:
0.63
Step-by-step explanation:
The fraction is 5/8. It is equivalent to ...
5/8 = (5·125)/(8·125) = 625/1000 = 0.625
This exact decimal equivalent rounds to 0.63.
_____
It can be useful to memorize the decimal equivalents of common fractions, including multiples of 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10.
Ashley took out a $1500 loan and promises to pay it back with 5% interest after 18 months. How much interest would she have to pay back?
Answer:
75.00
Step-by-step explanation:
1500*0.05
because 5% is her interest you convert 5% into a decimal = 0.05
then you multiply 1500 by 0.05 and you get 75.00
The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer.
The closing bracket ']' in the inequality solution set (–∞, 6.5] indicates that 6.5 is included, making it a solution to the inequality.
The solution to an inequality is (–∞, 6.5]. To determine if 6.5 is a solution to the inequality, we look at the notation used. The parenthesis '(' indicates that the number at this end of the interval is not included in the solution set, while the bracket ']' indicates that the number at this end is included. Since 6.5 is associated with a closing bracket, it means that 6.5 is indeed a solution to the inequality. Therefore, any number less than or equal to 6.5 is a solution to this particular inequality.
The correct explanation among the given options is the following:
"The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5."
In interval notation, brackets ([ and ]) indicate that the endpoint is included in the solution, while parentheses (( and )) indicate that the endpoint is not included.
Here, with (-∞, 6.5], the closing bracket means 6.5 is included in the solution to the inequality.
Thus, 6.5 is a valid solution to the inequality.
The complete question is : The solution to an inequality is (-, 6.5]. Is 6.5 a solution to the inequality? Explain your answer
The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the salution does not
include 6.5. The solution includes numbers from 6.5 to infinity. Because a parenthesis is used, the solution does not include 6.5.
The solution is the point(, 6.5). Because a bracket is used, 6.5 is a solution to the inequality.
The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.
I need help with this it’s geometry Pythagorean theorem
Answer:
E)82
Step-by-step explanation:
The formula is
A^2 + B^2= C^2
the two sides that make up the right angle is always A and B
Answer:
E
Step-by-step explanation:
Since the triangle is right use Pythagoras' theorem to solve for BC
The square on the hypotenuse (BC) is equal to the sum of the squares on the other 2 sides, that is
BC² = 80² + 18² = 6400 + 324 = 6724 ( take the square root of both sides )
BC = [tex]\sqrt{6724}[/tex] = 82 → E
Which system of linear inequalities is graphed?
Answer:
[tex]x<-2\\\\y\leq-x-2[/tex]
Step-by-step explanation:
From the given graph , the shaded region is bounded by two lines ( one is dotted and another is solid line).
Dotted line : It is parallel to y-axis and intersecting the x -axis at .
so the equation of the line is x=-2.
But it is represented in dotted form it means the inequality sign used here is strictly less than.
i.e. the equation for dotted line = [tex]x<-2[/tex]
Solid line : It is passing through (-2,0) and (-1,-1).
Equation of line passing through (a,b) and (c,d) :-
[tex](y-a)=\dfrac{d-b}{c-a}(x-b)[/tex]
Then equation of sold line:
[tex](y-0)=\dfrac{-1-0}{-1-(-2)}(x-(-2))\\\\\Rightarrow\ y=\dfrac{-1}{-1+2}(x+2)\\\\\Rightarrow\ y=\dfrac{-1}{1}(x+2)\\\\\Rightarrow\ y=-x-2[/tex]
Hence, the inequality represents solid line(≤)= [tex]y\leq-x-2[/tex]
Hence, the system of linear inequalities is graphed will be :-
[tex]x<-2\\\\y\leq-x-2[/tex]
If f(x) = 5x^3 - 2 and g(x) = 2x+1, find (f +g)(x).
A. 5x2+2x-1
B. 10X° -2
C. 3x2 -1
D. 3x°-1
Answer:
5x³ + 2x - 1
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 5x³ - 2 + 2x + 1 ← collect like terms
= 5x³ + 2x - 1
The lines graphed below are parallel.the slope of the slope of red line is 2/5 .what is the slope of the green line
Answer:
[tex]\large\boxed{\text{the sloe}\ m=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]
[tex]\text{We have the slope}\ m_1=\dfrac{2}{5}.\\\\\text{The slope of parallel line is the same:}\ m_2=\dfrac{2}{5}[/tex]
the hard drive in Meredith's new computer is 1.5 TB, which has a storage capacity of 1.5 x10^12 bytes. her old computer had a hard drive that stored 120 GB, or 1.2 x 10^11. how many times larger is the storage capacity of Meredith's new hard drive?
Answer:
12.5 times larger is the storage capacity of Meredith's new hard drive
Step-by-step explanation:
Meredith's new computer storage capacity = 1.5 x 10^12
Meredith's old computer storage capacity = 1.2 X 10^11
times the storage capacity of Meredith's new hard drive is larger = Meredith's new computer storage capacity/Meredith's old computer storage capacity
= 1.5X10^12/1.2X10^11
= 12.5
So, 12.5 times larger is the storage capacity of Meredith's new hard drive
Answer:
The new hard driave can store 12.5 times more than the old hard drive.Step-by-step explanation:
Givens
The hard drive of the new computer is 1.5 TB, which is equivalent to [tex]1.5 \times 10^{12}[/tex] bytes.The hard drive of the old computer is 120 GB. which is equivalent to [tex]1.2 \times 10^{11}[/tex] bytes.To find how many times larger is the new hard drive thatn the old one, we just need to divide
[tex]\frac{1.5 \times 10^{12}bytes }{1.2 \times 10^{11} bytes }=1.25 \times 10 = 12.5[/tex]
Therefore, the new hard driave can store 12.5 times more than the old hard drive.
In boot camp, a cadet must use a rope swing to cross an obstacle without
falling into the water hazard below. Unfortunately, they miss the platform on
the other side and swing back to where they started. If it takes the cadet 4.5
seconds to swing from one side of the obstacle to the other and back, how
long is the rope swing? Use the formula:
T=2pie ,square root L over 9.8
The length of the rope swing for the considered case is found being of 5 meters approximately.
How to find the period of oscillation of a simple gravity pendulum?If we've got:
Gravity constant = gLength of pendulum = LThen, we get:
[tex]T \approx 2\pi \sqrt{\dfrac{L}{g}}[/tex]
This is the period of oscillation, the time taken for a complete cycle in a simple gravity pendulum.
Using the above formula, as for this case, we're specified that:
Gravity constant = 9.8 m/s² = gTime taken for complete swing (back to forth and then again back) = 4.5 seconds. = TThen, the length of the rope is obtained as:
[tex]T \approx 2\pi \sqrt{\dfrac{L}{g}} \: \rm \:sec\\\\L = \dfrac{T^2g}{4\pi^2} \: \rm meters\\\\\L \approx \dfrac{(4.5)^2\times 2\times (9.8)}{4\pi^2} \approx 5 \: \rm meters[/tex]
Thus, the length of the rope swing for the considered case is found being of 5 meters approximately
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Is 262,015 divisible by 4
Answer:
no
Step-by-step explanation:
to know if a number is divisible by 4, you need to look only at the last two digits and see if that is divisible, 15 is not divisible by 4 and therefore the whole number isnt.
if you tried to divided 262,015 by 4 you would get 65503.75, a decimial so not divisible
Answer:
No, 262,015 will not divide evenly into 4.
Step-by-step explanation:
262,015 ÷ 4 = 65503.75.
Therefore, it will not divide evenly into 4.
Another way to do this is to check if the last two digits are divisible by 4.
The last two digits are 15. 15 is not divisible by 4. Therefore, the entire number will not be divisible by 4.
12 is 60%, percent of what number?
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
60 is a percent and percents are always taken out of the 100. This means that one proportion will have 60 as the part and 100 as the whole
We want to know out of what number is 12 60%. This means 12 is the part and the unknown (let's make this x) is the whole
[tex]\frac{12}{x} =\frac{60}{100}[/tex]
Now you must cross multiply
12*100 = 60*x
1200 = 60x
To isolate x divide 60 to both sides
1200/60 = 60x/60
20 = x
This means that 60% of 20 is 12
Hope this helped!
~Just a girl in love with Shawn Mendes
The number that 60% of 20 is 12.
We know that 60 is a percent and percent is always taken out of the 100. which means that one proportion will have 60 as the part and 100 as the whole
We need to know out of what number is 12 60%. This means 12 is the part and the unknown, x is the whole
Now we must cross multiply;
12*100 = 60*x
1200 = 60x
To isolate x divide 60 to both side;
1200/60 = 60x/60
20 = x
This, means that 60% of 20 is 12
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what is x + 1 = 9 ?? fill in the x
Answer:
x=8
Step-by-step explanation:
Cause 8+1 =9
Answer:
8
Explanation:
to get the answer we have to use the opposite of addition which is subtraction. we flip around the equation so now it would be 9 - 1 = ?
9 minus 1 is 8.
that is how you get the answer.
Which graph represents the function
f(x)= 2/x-1 +4
Answer:
Step-by-step explanation:
For clarity regarding what the denominator is, please use parentheses.
I believe you meant:
f(x)= 2/(x-1) +4
This function f is a variation of the parent function y = 1/x. The 2 stretches the graph vertically; the change from x to x - 1 translates the entire graph 1 unit to the right; and the +4 translates the entire graph up by 4 units.
I suspect you had 4 answer choices. But you've only shared 2. The second of the ones you've shared is the correct answer here.
Answer:
Should be D on ed.
Step-by-step explanation:
factor -7x^3+21x^2+3x-9 by grouping. what is the resulting expression?
a) (3-7x)(x^2-3)
b) (7x-3)(3-x^2)
c) (3-7x^2)(x-3)
d) (7x^2-3)(3+x)
Answer:
c) (3-7x^2)(x-3)
Step-by-step explanation:
-7x^3+21x^2+3x-9
Factor out a -7x^2 from the first two terms and a 3 from the last two terms
-7x^2 (x -3) +3(x-3)
Now factor out (x-3)
(x-3) (-7x^2+3)
Rearranging)
(x-3) (3-7x^2)
an equation for a line in the plane allows you to find x- and y-coordinates of any point on that line true or false?
Answer:
True
Step-by-step explanation:
When you are given an equation of a line in the plane, it´s like if they´ve given you the map to a line, and in this case it´s really easy to calculate the value of the different points on X and Y and by that you just have to immagine a value for one of the variables to calculate the other one, most cases is always X the one that you give the value to, and then you just calculate the Y.
Answer:
True.
Step-by-step explanation:
An equation for a line in the plane allows you to find x- and y-coordinates of any point on that line.
find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth
Answer:
308.65 Pounds
Step-by-step explanation:
Since one kilogram is 2.20462 pounds you can multiply 140 by 2.20462 to get 308.6468 and rounded to the nearest hundredth it would be 308.65.
The weight of a 140 kilogram person in pounds is approximately 308.64 pounds, when rounded to the nearest hundredth.
Explanation:To find the weight of a 140-kilogram person in pounds, we first need to understand that weight is a measure of the force of gravity on an object and can be calculated by multiplying the mass of the object by the acceleration due to gravity.
However, here, we are converting kilograms to pounds, which is a conversion of mass units, not weight. The conversion factor from kilograms to pounds is approximately 2.2046.
Therefore, to convert 140 kilograms into pounds, we multiply 140 by 2.2046:
140 kg * 2.2046 = 308.644 pounds.
And rounded to the nearest hundredth, we get 308.64 pounds.
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Which table of ordered pairs represents a proportional relationship
[tex]\textbf{$\left[\begin{array}{cc}x & y\\-3 & 12\\-6 & 24\\-9 & 36\end{array}\right]$}[/tex]
Step-by-step explanation:Two variables have a proportional relationship if the ratios are equivalent. In other words, in this type of cases two quantities vary directly with each other, so we can write this in a mathematical language as follows:
[tex]y=kx[/tex]
Here [tex]k[/tex] is the slope of the linear equation defined above. So, verifying that k is constant we have:
[tex]k=\frac{24-12}{-6-(-3))}=\frac{36-24}{-9-(-6)}=\frac{36-12}{-9-(-3)}=-4 \\ \\ \therefore \boxed{k=-4}[/tex]
One way to prove this is by writing the equation that represents the table. From the two-point intercept form of the equation of a line we have:
[tex]y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ P(x_{1},y_{1})=P(-3,12) \\ \\ P(x_{2},y_{2})=P(-6,24) \\ \\ Subtituting \ x_{1}, x_{2}, y_{1}, y_{2}: \\ \\ y-12=\frac{24-12}{-6-(-3)}(x-(-3)) \\ \\ y-12=-4(x+3) \\ \\ Solving: \\ \\ y-12=-4x-12 \\ \\ Adding \ 12 \ to \ both \ sides: \\ \\ y-12+12=-4x-12+12 \\ \\ \boxed{y=-4x}[/tex]
So, this implies that the ordered pairs of the last option represent a proportional relationship
Answer:
Last table is the answerStep-by-step explanation:
In this case, an proportional realtionship refer to the existence of a contant ratio of change between variables, that is, each y-value can be found by multiplying each x-value with this constant ratio of change.
So, notice that in the first table, is we multiply by four, you can get the first two pairs, but the last one doesn't fall into the ratio. That's not the answer.
Similarly, the second table doesn't have a constant ratio of change, because the last pair has different ratio.
However, the last table shows a constant ratio of change, because each x-value can be multiplied by -4, to get each y-value, that is
-3 x -4 = 12
-6 x -4 = 24
-9 x -4 = 36
Therefore, the right answer is the last table.
FIRST ANSWER GET BRAINLIEST HELP ASAP PLEASE EXPLAIN WITH STEPS The first term of a geometric series is 1 and the common ratio is 9. Write a rule to find the nth term. Find the 8th term of the sequence.
Answer:
Rule:
a_n = 9^(n - 1)
8th term:
a_8 = 9^(8 - 1) = 9^7 = 4,782,969
Step-by-step explanation:
a_1 = 1 = 9^0
a_2 = 1 * 9 = 9^1
a_3 = 1 * 9 * 9 = 9^2
a_4 = 1 * 9 * 9 * 9 = 9^3
Notice that the exponent on the 9 is always 1 less than the number of the term.
Rule:
a_n = 9^(n - 1)
8th term:
a_8 = 9^(8 - 1) = 9^7 = 4,782,969
A-(b+c)for a=2 b=-5 c=8
Answer:
-1
Step-by-step explanation:
A-(b+c)
Let a=2 b=-5 c=8
2 - (-5+8)
2 - (3)
2-3
-1
which is defined using the undefined terms point and lines
Undefined terms such as points and lines are central to defining geometric concepts such as line segments and angles. They also play a crucial role in the Cartesian coordinate system, where points are defined in relation to lines (axes).
Explanation:In Mathematics, particularly in Geometry, the undefined terms points and lines are used to define several other concepts. One such concept defined by these undefined terms is the 'Line Segment'. A Line Segment is simply part of a line that is bounded by two distinct endpoints, and contains every point on the line between its endpoints. Both points and lines have a defining role in constructing this definition. A line segment is an example of 'one-dimensional' structure, as it only extends in one direction, unlike a plane or volume that extend in two or three dimensions, respectively.
Another major concept that is defined using points and lines is the 'Angle'. An angle is formed when two lines meet at a point. The point is called the vertex of the angle, and the lines are the sides of the angle.
In the Cartesian coordinate system, the interaction of points and lines is at the core of defining and plotting positions. For example, a point in this system is represented by two coordinates (x, y) - where x represents its position along the x-axis (a horizontal line) and y represents its position along the y-axis (a vertical line).
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Solve for x.
2 6
— = —
x 2
Answer:
[tex]\large\boxed{x=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{x}=\dfrac{6:2}{2:2}\\\\\dfrac{2}{x}=\dfrac{3}{1}\qquad\text{cross multiply}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}[/tex]