Answers
Answer: OPTION C
Step-by-step explanation:
By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.
As you can see in the graph, the parabola intersects the x-axis at:
[tex]x=-5\\x=1[/tex]
Then these are the roots.
Therefore, this means that:
[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]
So, the factorization is the following:
[tex](x+5)(x-1)=0[/tex]
ANSWER
[tex]y = (x + 5)(x - 1)[/tex]
EXPLANATION
From the graph, the x-intercepts are
[tex]x = 1[/tex]
and
[tex]x = - 5[/tex]
This implies that (x-1) and (x+5) are factors of the function represented by the graph.
Therefore we factor the function as
[tex]y = (x + 5)(x - 1)[/tex]
The correct choice is C.
Related Questions
mari is standing 50 feet from the base of a building. From where he stands, the angle formed between the top of the building and the ground at his feet is 60°.
Answers
Answer:
Your answer will be...
Step-by-step explanation:
50 square root of 3 ft
In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controlled variable testing variable independent variable dependent variable
Answers
Answer: Independent Variable
Step-by-step explanation:
The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.
8+2(1+12÷2)^2
Please explain
Answers
Answer:
The best thing to do here is PEMDAS which is parenthesis, exponents, then eith multiply, divide, add, subtract which will help you figure out the answer and when you plug it all in you get 106 as ur answer
Step-by-step explanation:
Math , pls helppp ASAP
Answers
The tangent line AC forms a right angle with the radius line OC, so the angle at C is 90 degrees.
Angle O is given as 45 degrees, so angle A needs to equal:
180 - 90 - 45 = 45 degrees.
a rectangular metallic block is 16 cm long . 8 cm broad and 4 cm thick . If it is melted and converted into a cube , find the surface area of the cube
Answers
r u ccfqrh 3tg14yhq4u51uh5qubqtjbtqjb
Answer:
384 cm²
Step-by-step explanation:
Calculate the volume of metal in the block
V = 16 × 8 × 4 = 512 cm³
Then the volume of the cube = 512 cm³
That is
s³ = 512 ← s is length of side of cube, hence
s = [tex]\sqrt[3]{512}[/tex] = 8 cm
The cube has 6 square faces, hence
surface area = 6 × 8² = 6 × 64 = 384 cm²
A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Their sales can be represented in two equations where x represents the price of the small boxes and y represents the price of the large boxes. Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? Check all that apply.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
Answers
Answer:
A,C,D,E
Step-by-step explanation:
Answer:
A,C,D,E are correct.
Step-by-step explanation:
Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.
A) Center: (0, 0); Vertices: the point zero comma negative two square root two and the point zero comma 2 square root two ; Foci: Ordered pair 0 comma negative square root 6 and ordered pair 0 comma square root 6
B) Center: (0, 0); Vertices: (-8, 0), (8, 0); Foci: Ordered pair negative 2 square root 15 comma 0 and ordered pair 2 square root 15 comma 0
C) Center: (0, 0); Vertices: (0, -8), (0, 8); Foci: Ordered pair 0 comma negative 2 square root 15 and ordered pair 0 comma 2 square root 15
D) Center: (0, 0); Vertices: the point negative square root six comma zero and the point square root six comma zero ; Foci: Ordered pair negative square root 6 comma 0 and ordered pair square root 6 comma 0
Answers
Step-by-step explanation:
i think its B I'm not really sure
Your mission is to dilate the rectangle shown below by a scale factor of 2.
Answers
Answer:
The dimensions of the dilated rectangle are 30 cm x 16 cm
Step-by-step explanation:
we know that
To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor
so
Let
A'B'C'D'------> the dilated rectangle
z-------> the scale factor
we have
z=2
A'B'=AB*z=15*2=30 cm
B'D'=BD*z=8*2=16 cm
The dimensions of the dilated rectangle are 30 cm x 16 cm
For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero?
A - Either a very large positive or very large negative number
B.A very small positive number
C. Only a very large positive number
D.Only a very large negative number
E.Either a very small positive or very small negative number
Answers
[tex]2 \div 0.1 = 20[/tex]
Same thing when it's negative, except now the answer is negative. So, if x gets really close to 0, it will be very big, or a big negative number. Remember, "getting close to 0" could mean from the negative side just as well from the positive.
Betsy spent 26 days traveling in Europe. How many hours did she spend traveling in Europe.
Answers
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $24 per foot and on the other three sides by a metal fence costing $8 per foot. If the area of the garden is 800 ft, find the dimensions of the garden minimizing the cost. (Let x be the length of the brick wall and y be the length of an adjacent side in feet.)
Answers
Answer:
x = 20 feet, y = 40 feet
Step-by-step explanation:
See attached photo for solution
The length of the brick wall is 20 ft and the length of an adjacent side is 40 ft and this can be determined by forming the linear equation in two variables.
Given :
A brick wall costs $24 per foot and on the other three sides by a metal fence costs $8 per foot.The area of the garden is 800 [tex]\rm ft^2[/tex].Let 'x' be the length of the brick wall and 'y' be the length of an adjacent side in feet. Then the area of the garden is:
xy = 800 --- (1)
The perimeter of the rectangular garden will be:
Perimeter = 24x + 8x +2(8)y ---- (2)
Now, solve equation (1) for y.
[tex]y = \dfrac{800}{x}[/tex] --- (3)
Now, put the value of 'y' in equation (2).
[tex]\rm P=32x+16\times \dfrac{800}{x}[/tex]
Now, for minimizing cost differentiate the perimeter with respect to 'x'.
[tex]\rm P'=32-16\times \dfrac{800}{x^2}[/tex]
Now, equate the above equation to zero.
[tex]0=32-16\times \dfrac{800}{x^2}[/tex]
[tex]\dfrac{800}{2}={x^2}[/tex]
x = 20
Now, put the value of 'x' in the equation (3).
[tex]y = \dfrac{800}{20}[/tex]
y = 40
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what are the new coordinates of the figure aboge if it is reflected over the y axis?
Answers
The new coordinates of the figure is :
A=( 1,5) B= (-4,5) C= (-4,8)
Transformations on a Plane:A point on a plane can be subject to transformations. Examples of transformations that can be done on points are translations, reflections, or rotations about a point. These transformations are also observed algebraically, in which functions on the coordinates are applied.
Recall that if (x, y) is a point on the plane, reflecting it across the y-axis means that the x-coordinate is negated:
(x, y) => (-x, y)
The coordinates of the figure is
A = (-1,5)
B = (4, 5)
C = (4, 8)
The new coordinates of the figure is :
A=( 1,5) B= (-4,5) C= (-4,8)
This means that the first coordinate is changed, and the y-coordinate is left as is.
Therefore, it is the y-coordinate that stays the same when reflected across the y-axis.
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A (1, 5), B (-4, 5), C (-4, 8) are the new coordinates of the figure aboge if it is reflected over the y axis.
In the realm of plane geometry, various transformations can be applied to points, facilitating a means of altering their positions or orientations. These transformations include translations, reflections, and rotations, all of which have algebraic representations.
When reflecting a point across the y-axis, as denoted by the transformation (x, y) => (-x, y), the x-coordinate is negated while the y-coordinate remains unaffected.
This can be observed in the coordinates of the figure:
A (-1, 5)
B (4, 5)
C (4, 8)
After the reflection, the new coordinates become:
A (1, 5)
B (-4, 5)
C (-4, 8)
It is evident that the reflection operation results in the change of the sign of the x-coordinate while leaving the y-coordinate unaltered. Consequently, the y-coordinate remains the same when a point is reflected across the y-axis, illustrating a fundamental property of this geometric transformation.
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The vertex form of the equation of
a parabola is y = 2(x +4)^2 - 7.What is the standard form of the equation?
Answers
Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other.
The value of x is ????? degrees, and the value of y is ??????? degrees.
Answers
The value of X is 112° and The value of Y is 68°
Answer:
Angle y: 68°
Angle x: 112°
Step-by-step explanation:
When you are dealing with two sets of parallel lines where one set intercepts the other, angles are always the same as the parallel line's angle. In this example
∡PM = 68° = ∡y°
Seeing that we now know that y is 68° and q is a straight line (Straight Lines have an angle of 180°) we can subtract 68° from 180° in order to get the degree of the angle x.
180° - 68° = 112°
Now we know that angle y is 68° and angle x is 112°
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
True or False. You have to flip the inequality symbol in this problem:
-3x < 15
True
False
Answers
You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.
In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:
[tex]-3x<15 \implies x>-5[/tex]
Alternatively, you may add 3x to both sides:
[tex]0<3x+15[/tex]
Subtract 15 from both sides:
[tex]3x>15[/tex]
And divide both sides by 3:
[tex]x>5[/tex]
The sign switch here was hidden behind the fact that we switched the two sides of the inequality
Which equation would best help solve the following problem?
Brett kicks a field goal with an initial vertical velocity of 42m/s.how long will it take the football to hit the ground?
Answers
Answer:
C
Step-by-step explanation:
You are making a couple of assumptions. The first is that since the given has units of m/s that requires an acceleration based in m/s^2. That eliminates choices A and B. 16 is usually associated with f/s^2
Second, you are assuming 42m/s is positive and the acceleration due to gravity is negative. It doesn't matter as long as they are opposite.
Third, you are assuming that 42 m/s is the vertical acceleration. If it is not then some sort of trigonometry is needed. Since your choices don't offer trig then this assumption must be taken care of.
So the correct answer is C.
1.32 repeating as a fraction
Answers
Answer:
[tex]\frac{131}{99}[/tex]
Step-by-step explanation:
Let
[tex]x=1.323232...[/tex]
Multiply x by a power of [tex]10[/tex], one that keeps the decimal part of the number the same:
[tex]100x=132.3232..[/tex]
Subtract [tex]x[/tex] from [tex]\\100x[/tex]
[tex]100x-x=132.3232...-1.3232...=131[/tex]
The repeating decimals should cancel out
[tex]\\99x=131[/tex]
solve for x
Divide by [tex]99[/tex] both sides
[tex]x=\frac{131}{99}[/tex]
What is the value of k?
Please answer ASAP, Thank you :)
Answers
Answer:
k = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ZYM is an exterior angle of the triangle and
∠'s YZX and ZXY are the 2 opposite interior angles, hence
4k + 5 + 6k + 10 = 115
10k + 15 = 115 ( subtract 15 from both sides )
10k = 100 ( divide both sides by 10 )
k = 10
Answer:
k=10
Step-by-step explanation:
∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.
The interior angles in the triangle should add up to 180°
Adding the values and then equating to 180° we get the following equation.
65+(4k+5)+(6k+10)=180°
simplifying we get: 80+10k=180
10k=180-80
10k=100
k=10
Write and solve a real-world problem for 9 divided by 1/8. Then explain the meaning of the quotient.
Answers
Answer:
Mike went 9 miles on 1/8 of a tank of gas, how many miles can he go with his full tank.
Then to solve this, we would divide 9 by 1/8
9 ÷ 1/8 = 72
On Tuesday the Baker makes a total of 60 muffins. How many blueberry muffins does the baker make on Tuesday.
Answers
Answer:
60
Step-by-step explanation:
This question is super common sense which probably makes you
want to rethink the simple answer. Very plainly it says: Tuesday the Baker makes a total of 60 muffins. It doesn't tell us what "kind" of muffins they
are or are not. So then it asks how many "blueberry" muffins does the Baker bake on Tuesday.
They are only giving us one number that the Baker bakes on Tuesday and that number is 60
After removing the outlier, what does the mean absolute deviation of this data set represent?
Correct answer gets brainliest
Answers
Answer:
3.2 inches
Step-by-step explanation:
1. The outlier is 23 inches, it is very big compared to the other numbers.
2. The average is 6 inches.
3. The deviations are: 4, 3, 5, 3, 1, 4, 4, 4, 3, and 1.
4. The mean of those numbers is 3.2 inches.
Answer:
THE ANSWER IS 3.2 INCHES
Step-by-step explanation:
Which of these is a complex number?
A.
B.
C.
D.
Answers
Answer:
option D
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
Step-by-step explanation:
Given in the question are 4 number
5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]
2 - [tex]\frac{1}{\sqrt{11} }[/tex]
9 + [tex]3\sqrt{\frac{5}{2} }[/tex]
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
A Complex Number is a combination of a Real Number and an Imaginary Number
Examplea + ib
where a is real number
b is imaginary number
i is 'lota' which is √-1
So according to the definition above[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which
[tex]\frac{8}{3}[/tex] is real part
[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part
Answer:
D. 8/3+ sqrt-7/3
Step-by-step explanation:
Miranda spent 1/5 of her time cooking pasta. If she spent 2 hours cooking, did Miranda spend more than, less than, or equal to 2 hours cooking pasta? Explain.
Answers
Step-by-step explanation:
Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than
Answer:
more
Step-by-step explanation:
1/5 times 2 is equal to 3
A solid is composed of squares and equilateral triangles. It’s net is shown below:
The area of each triangle is 4 square units. The surface area of the triangular prism is __ square units. (Input whole number only)
PLEASE ANSWER QUICKLY!
Answers
Answer:
35 square units
Step-by-step explanation:
The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:
2 Equilateral Triangles3 SquaresThe Area of each triangle is 4 square units. So we need to calculate the area of the squares.
Side length of square = 3 units
Area of square = Length² = 3² = 9
Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares
= 2(4) + 3(9)
= 8 + 27
= 35 square units
Surface Area of Given Solid = 35 square units
Answer:
The surface area of the triangular prism is 35 square units
Step-by-step explanation:
It is given that,A solid is composed of squares and equilateral triangles
The area of each triangle is 4 square units
To find the surface area of solid
From the figure we get,
Surface area = Area of 2 triangle + area of 3 squares
There are 2 triangles with area = 4 square units
Area of 2 triangle = 2 * 4 = 8 square units
There are 3 squares with side = 3 units
Area of 1 square = 3 * 3 = 9 square units
Area of 3 squares = 3 * 9 = 27 square units
Surface area = 8 + 27 = 35 square units
The surface area of the triangular prism is 35 square units
Please help. I would really appreciate it.
Answers
[tex]f(x) = 3 {x}^{2} + 5x + 1 \\ \\ \frac{f(x + h) - f(x)}{h} \\ \\ \frac{(3(x + h)^{2} + 5(x + h) + 1) - (3 {x}^{2} + 5x + 1 }{h} \\ \\ \frac{(3( {x}^{2} + 2xh + {h}^{2}) + 5x + 5h + 1) - 3 {x}^{2} - 5x - 1}{h} \\ \\ \frac{3 {x}^{2} + 6xh + 3 {h}^{2} + 5x + 5h + 1 - 3 {x}^{2} - 5x - 1 }{h} \\ \\ \frac{6xh + 3 {h}^{2} + 5h}{h} \\ \\ \frac{h(6x + 3h + 5)}{h} \\ \\ = 6x + 3h + 5[/tex]
If a day of the week is chosen at random, what is the probability of choosing Wednesday?
Answers
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The probability of choosing Wednesday is 1/7
How to determine the probabilityThere are 7 days in a week, and one of the days is Wednesday.
So, we have:
Days = 7
Wednesday = 1
The probability of choosing Wednesday is calculated as:
P(Wednesday) =Wednesday/Days
This gives
P(Wednesday) = 1/7
Hence, the probability of choosing Wednesday is 1/7
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Does the rule y=-3*2^x represent a linear or an exponential function?
Answers
Answer:
its exponential because the parent function is y=(a)(b)^x
Step-by-step explanation:
Final answer:
The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.
Explanation:
The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.
The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.
Given a cone with a volume of 56.52 in^3 and height 7 in., find the base radius of the cone.Use 3.14 for pi. Round your answer to the tenths place. a. 2.1 in c. 4.9 in b. 2.8 in d. 4.3 in
Answers
Answer:
B
Step-by-step explanation:
Volume of Cone formula is given by : [tex]V=\frac{1}{3}\pi r^2 h[/tex]
Given V = 56.52 and h = 7, we plug them in and solve for r:
[tex]V=\frac{1}{3}\pi r^2 h\\56.52=\frac{1}{3}(3.14) r^2 (7)\\56.52=7.33r^2\\\frac{56.52}{7.33}=r^2\\7.71=r^2\\r=\sqrt{7.71}\\ r=2.77[/tex]
rounding to tenths place, r = 2.8 inches
Answer choice B is right
Answer: c. [tex]4.9\ in.[/tex]
Step-by-step explanation:
The volume of cone is given by :-
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.
Given: Height : 7 in.
Volume : [tex]56.52\ in^3[/tex]
Then the volume of the cone will be :-
[tex]56.52=\dfrac{1}{3}(3.14) r^2(7)\\\\\Rightarrow\ r^2=\dfrac{56.52\times3}{7\cdot3.14}\\\\\Rightarrow\ r^2=24.22285714\\\\\Rightarrow\ r=4.921672189\approx4.9\ in.[/tex]
Hence, the radius of the cone = [tex]4.9\ in.[/tex]
Help I’ll rate you brainliest
Answers
Answer:
5 strides because 6-1=5
Step-by-step explanation:
➷ You just need to count the number of squares. It would be 5 strides.
The mathematical way is using the y values:
6 - 1 = 5
It is 5 strides.
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➶ Good Luck (:
➶ Have A Great Day ^-^
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write an integer to represent 30 meters below sea level. explain the meaning of 0 in this situation
Answers
Zero represents sea level in this situation.
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