The possible values of x are -2.4,1.4,3.9
Step-by-step explanation:
F(x)=3x - 1
G(x)=x³-3x²-4x
when we will plot we are given two functions f(x) and g(x) as:
the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .
F(x)=G(x)
the points of the intersection of this equation is x= -2.4,1.4,3.9
Hence the solutions are x= -2.4,1.4,3.9.
Help me please answer as quickly as possible
Answer: B) (-x, y)
Step-by-step explanation:
If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.
Consider (1, 2) as the original point. Now reflect it across the y-axis. The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).
How can i solve this solution a/b=c for b?
a/b=c
By mutiplying both side by b and multiplying both side by 1/c we will get:
b=a/c
Answer:
b = a ÷ c
Step-by-step explanation:
Here,
a ÷ b = c is given
Now, For b
a ÷ b = c
b = a ÷ c
Thus, The answer is b = a ÷ c
-TheUnknownScientist
Divide 120 in the ratio of 1:2
Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
[tex] \frac{x}{3x} \times 120 \\ =40[/tex]
[tex] \frac{2x}{3x} \times 120 \\= 80[/tex]
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
40 and 80 are in the ratio of 1:2 of 120.
Hope this helps!
Sean uses the point (10, 8) to represent the location of his house and uses the point (1, 3) to represent the
location of the gym. Each unit on the graph represents 1 mi. How far is the gym from Sean’s house? Round to
the nearest tenth. Show your work.
Answer:
[tex]10.3\ mi[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(10,8)\\B(1,3)[/tex]
substitute the values
[tex]d=\sqrt{(3-8)^{2}+(1-10)^{2}}[/tex]
[tex]d=\sqrt{(-5)^{2}+(-9)^{2}}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d=10.3\ mi[/tex]
Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?
Answer:
Domain: all integers where n ≥ 1
Step-by-step explanation:
We are given that a geometric sequence has [tex]a_1 = 5[/tex] and the common ratio [tex]r=-3[/tex].
We know that the general form of a geometric sequence is given by:
[tex]a_n=ar^{n-1}[/tex]
Substituting the given values in it to get:
[tex]a_n=5(-3)^{n-1}[/tex]
Now writing it as a function:
[tex]f(n)=5(-3)^{n-1}[/tex]
[tex]f(1)=5[/tex]
So the geometric series starts from n = 1, therefore the domain = n≥1
Travis are 2/3 of a small pizza Kai are 11/15 of a small pizza who ate more?
Answer:
11/15
Step-by-step explanation:
If you convert them to a decimal 11/15 would be more
(p+q)*(p-q) can you show the process
Answer:
p²-q²
Step-by-step explanation:
(p+q)×(p-q)
=p×(p-q)+q×(p-q)
=p×p-p×q+p×q-q×q
=p²-p×q+p×q-q²
=p²-q²
A store has apples on sale for $28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.
The cost per pound of the apples on sale is $
.
You can buy
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about
apples in each pound.
You can buy approximately
apples for $168.00.
Find the number of apples in 8 pounds:
8 pounds x 16 ounces per pound = 128 ounces.
Divide total cost by cost for 8 pounds:
168 / 28 = 6
Multiply 6 by 128 ounces:
128 x 6 = 768 total ounces for $168.
Now divide total ounces by 5 ounces per apple:
768 / 5 = 153.6, round up to 154 apples.
Answer:
For $168 you could buy approximately 48 pounds of apples.
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 12 inches and a height that is three times the radius.
V =pie r2 h
= 22/7 *6*6*18
= 2036.57
A right circular cylinder has a base radius of 56 mm and a height of 128 mm. What is its volume in cubic centimeters? Round the answer to the nearest hundredth. use 3.14 for π
Answer:
V = 1261 mm2
Step-by-step explanation:
Hello
V = Pi*(r^2)*h
V = Pi*([56]^2)*(128=
V = 1261 mm2
Best regards
The volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).
Explanation:To find the volume of a right circular cylinder, we use the formula:
V = πr2h
where V is the volume, π is the value of pi (approximately 3.14), r is the base radius, and h is the height. Plugging in the given values:
V = 3.14 * 562 * 128
V ≈ 3.14 * 3136 * 128
V ≈ 3.14 * 401,408
V ≈ 1,261,852.32
Therefore, the volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).
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I dont get ot im not that smart plzz someone help me plzz
Note:
dont worry about not understanding something! im sure with time and practice youll understand. math may not be your best subject, but youll get the hang of this soon. :')
also, i apologize if this answer is wrong. i havent done this in a while and im not 100% sure on my work accuracy.
Answer:
3.
Step-by-step explanation:
Count the number of 'x' symbols are above each number.
There are:
two 1/6 pieces (total of 2/6)
two 1/3 pieces (total 2/3)
three 1/2 pieces (total 3/2 aka 1 and 1/2)
four 2/3 pieces (total 8/3 aka 2 and 2/3)
one 5/6 piece (total 5/6)
Since we know that halves and thirds can be divided into sixths, we'll have to set all the denominators into sixths by multiplying. The numbers are in the same order as above.
2/6 * 1/1 = 2/6
2/3 * 2/2 = 4/6
1 and 1/2 * 3/3 = 1 and 3/6 (only multiply the fraction if it is a fraction and a whole)
2 and 2/3 * 2/2 = 2 and 4/6
5/6 * 1/1 = 5/6
Next we'll add together all the WHOLE numbers.
1 + 2 = 3
Now add all the fractions. Remember, only add the numerators, the denominator stays the same in adding.
2/6 + 4/6 + 3/6 + 4/6 + 5/6 = 18/6
Simplify the fraction.
18/6 = 3.
What is the volume of the prism
The volume of a rectangular prism or cube is: Length × Width × Height
In this case,
- the length of the prism is 2 feet
- the width of the prism is 1.5 feet
- the height of the prism is 1.5 feet
Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³
Keep in mind that volume is represented in cubic units!
[tex]\text{Hey there!}[/tex]
[tex]\text{Formula: v = lwh}[/tex]
[tex]\text{l = length}\\\text{w = width}\\\text{h = height}[/tex]
[tex]\text{L = 2}[/tex]
[tex]\text{W = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]
[tex]\text{H = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]
[tex]\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}[/tex]
[tex]4\frac{1}{2}\times2=4\frac{1}{2}[/tex]
[tex]\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
what is the mode for the data set 49,47,46,40,48,41,44,49,45,42,43
Mode: the number that occurs the most in a set of data.
Although it's optional, I always like to order the numbers from least to greatest so it makes it easier to see what number repeats more than anything else.
Least to greatest - 40,41,42,43,44,45,46,47,48,49,49
The mode for this set of data is 49. The mode is 49 because 49 is the only number that occurs more than once. No other numbers in this set of data appear twice except 41.
Find the value of x. 12.5, -10, -7.5, x; The mean is 11.5
11.55
sto you multiply sothat you can get the anster
Find a mixture that will make the same shade of green but a larger amount
Answer:
It would be blue and yellow
Step-by-step explanation:
Help! Please! Brainliest answer offered!!
your answer is 1 :) hope this helps
Answer:
It's B) 1
Step-by-step explanation:
(3)(2x)+(3)(−1)=( 1 2 )(4x)+( 1 2 )(−2)+2(Distribute)
6x−3=2x+1
6x−3−2x=2x+1−2x
4x−3=1
4x−3+3=1+3
4x/4 = 4/4
x = 1
i know confusing
can u help me with unit rates
Answer:
sure
Step-by-step explanation:
unit rates are similar to rates.
rates are : 20/2
and unit rates are very similar: 10/1
unit rates are never 5/4, 6/10, 9/2, or 3/2 because unit rates are always loney and single having the denominator one
ex: 2/1, 4/2, 6/2, 8/2, 10/2
2/1 in the sequence is the only unit rate. and remember there can not be more than one unit rate in a sequence.
plz give me a brainliestttttt
Answer:
Unit Rates are any numbers over one.
For example:
A car is driving 60 miles per hour. So that is a unit rate because it is expressed over one.60/1
Step-by-step explanation:
Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.
First, what are the values of a, b, and c?
a =
Answer:
x = 1.56 or x = -2.56
Step-by-step explanation:
From the equation;
x2 +x − 4 = 0
a = 1 , b = 1, and c = -4
x = (-b ± √(b² -4ac))/2a
= (-1 ± √(1²- 4×1×-4))/2
= ( -1 ± √(17)/2
= (-1 ± 4.12)/2
= (-1 + 4.12)/2 or (-1 - 4.12)/2
x = 1.56 or x = -2.56
A large round pizza has a diameter of 14 inches what is the approximate area of the pizza
The area of a circle is found using the equation A = πr^2
r is the radius which is 1/2 the diameter
r = 14 /2 = 7
Area = π7^2
Area = 49π
Using 3.14 for π
Area = 49 x 3.14
Area = 153.86 square inches. Round the answer as needed.
Final answer:
To find the area of a large round pizza with a diameter of 14 inches, use the formula A = (7 inches), which is half of the diameter, to find the area, resulting in approximately 153.86 square inches.
Explanation:
The area of a circle is calculated using the formula A = case and simplify the expression since the radius has only two significant figures. Utilizing an approximation for pi ( case 3.14), the area can be calculated as follows:
A = (3.14) (7 in) (7 in) approximately 3.14 (49 in²) approximately 153.86 in². Therefore, the approximate area of the pizza is 153.86 square inches.
On her way to visit her parents, Jennifer drives 265 miles in 5 hours. What is her average rate of speed in miles per hour?
Answer:
53 miles per hour
Answer:
53 miles
Step-by-step explanation:
Total Distance: 265
Then, take that number and divide by 5. 265/5
= 53
Simplify 3 sqrt 2 × 3 sqrt 3
Answer:
[tex]9\sqrt{6}[/tex]
Step-by-step explanation:
Multiply the numbers outside of the radicand, which is 3 x 3 = 9.
Then multiply the numbers inside of the radicand, which is 2 x 3 = 6.
Therefore the answer is [tex]9\sqrt{6}[/tex].
Edit:
Is this what the problem looks like?
[tex]3\sqrt{2}[/tex] x [tex]3\sqrt{3}[/tex]
What is x^5 Y^6 expressed in simplified form?
Answer:
Nothing further can be done to this.
Step-by-step explanation:
There is nothing further that can be done with this equation.
The expression x^5 Y^6 doesn't simplify further as the bases differ. It means that 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times.
Explanation:The expression x^5 Y^6 is already in simplest form. Expressed in plain English, this represents 'x' raised to the power of 5, multiplied by 'y' raised to the power of 6. The exponents here denote that we are multiplying 'x' and 'y' by themselves for a specific number of times. For example, 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times, as represented by this expression.
I want to let you know that the exponents are not to be combined in any way because the bases (x and y) are different. In other words, x^5 and Y^6 remain separated in expression. They cannot be simplified further.
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Seven values on the number line are marked with letters match the opposites
The answer to this is A and E, W and X, C and P
A is -7
E is 7
These are opposite
W is -5
X is 5
These are opposite
B is -3
C is 3
These are opposite
The answer is A
Answer:
A. A and E, W and X, C and P
Step-by-step explanation:
The opposite of any number (let's call it "x") is a number which, if added to x, results in 0.
Typically is -x, because x + (-x) = x - x = 0
Knowing these, let's see the values that are marked:
A = -7
W = -5
C = -3
B = 1
P = 3
X = 5
E = 7
The opposite of 7 is -7, so A and E are opposites.
The oposite of 5 is -5, so X and W are opposites
The opposite of 3 is -3, so P and C are opposites.
The opposite of 1 is -1, but -1 is not marked.
The correct answer is the first one.
Name the property the equation illustrates
can you put a picture of the problem so i know what you need help with please
unfortunately, there is no chart below, so we can't help
If a = 22 ft, b = 10 ft, and c = 14 ft, what is the surface area of the geometric shape formed by this net?
A: 470 sq ft.
B: 580 sq ft.
C: 588 sq ft.
D: 668 sq ft.
Answer:
answer is 580 sq. ft.
Step-by-step explanation:
Consider the expression below. Place the steps required to determine the sum of the two expressions in the correct order. 3x+6/x^2-x-6 + 2x/x^2+x-12
Answer:
1) Factor the denominator and the numerator of each fraction.
2) Simplify.
3) Find the Least common denominator (LCD).
4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator (The LCD is the same denominator of the second fraction, so its numerator stays the same).
5) Apply Distributive property on the numerator and on the denominator.
6) Add like terms.
Step-by-step explanation:
The steps required to determine the sum of the two expressions are:
1) Factor the denominator and the numerator of each fraction:
[tex]\frac{3x+6}{x^2-x-6}+\frac{2x}{x^2+x-12}=\frac{3(x+2)}{(x-3)(x+2)}+\frac{2x}{(x-3)(x+4)}[/tex]
2) Simplify (Remember that [tex]\frac{(x+2)}{(x+2)}=1[/tex]):
[tex]\frac{3}{(x-3)}+\frac{2x}{(x-3)(x+4)}[/tex]
3) Find the Least common denominator (LCD). In this case this is:
[tex]LCD=(x-3)(x+4)[/tex]
4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator. As the LCD is the same denominator of the second fraction, its numerator stays the same:
[tex]=\frac{3(x+4)+2x}{(x-3)(x+4)}[/tex]
5) Apply Distributive property on the numerator and on the denominator:
[tex]=\frac{3x+12+2x}{x^2+x-12}[/tex]
6) Add like terms:
[tex]=\frac{5x+12}{x^2+x-12}[/tex]
Answer:
x-5 edg
Step-by-step explanation:
30 points! I will give brainliest.
Consider the expression 6r – r + 8(15 – r) + 23 – 6 .
Part A Is –3r + 137 equivalent to the given expression? Write your answer in the space provided .
6r -4 +8(15-r) + 23
expand brackets
6r -4 +120 -8r + 23
collect like terms
120 + 23 - 4 = 139
6r - 8r = -2r
139 - 2r
139 - 2r = -3r + 137
-137 from both sides
-2r = -3r -2
add 3r
R = -2
sub in both equations and see if you get the same value
-3r + 137
-3 (-2) + 137
6 +137 = 143
139 - 2r
139 - 2(-2)
139 + 4
143
yes they are equal
Final answer:
After simplifying the given expression by combining like terms and using the distributive property, we find that the simplified form is indeed -3r + 137, which means it is equivalent to the original expression.
Explanation:
To determine if the expression -3r + 137 is equivalent to the given expression 6r – r + 8(15 – r) + 23 – 6, we need to simplify the given expression.
Let's simplify the given expression step-by-step:
Combine like terms: 6r - r = 5r.Distribute the 8 within the parentheses: 8(15) - 8(r) = 120 - 8r.Combine the constants: 23 - 6 = 17.Add the constant from step 3 to the constant from step 2: 120 + 17 = 137.Combine the results from steps 1 and 2: 5r - 8r = -3r.Add the results from steps 4 and 5 to get the simplified expression: -3r + 137.Therefore, the simplified form of the given expression is indeed -3r + 137, which means it is equivalent to the given expression.
Help with this problem on setting it up please! Thank you!
Answer:
The number of cones sold was 88
Step-by-step explanation:
Let
x------> the number of cones sold
y----> the number of sundaes sold
we know that
[tex]1.10x+2.35y=294.20[/tex] ----> equation A
[tex]x+y=172[/tex] ----> equation B
using a graphing tool
we know that
The solution of the system of equations is the intersection point both graphs
The intersection point is (88,84)
see the attached figure
therefore
The number of cones sold was 88
The number of sundaes sold was 84
Can someone please tell me if my answers are correct??
Answer:
I think they are all correct but 2 and 4 might be wrong. (I don't see the shapes very well.)
I can't see that well but on #2, can't you half it? If you can, it has 1 line of Symmetry. If you can't, it has no lines of symmetry
On #4, you might be able to half it from the lower left corner and the upper right corner. If it works, there is 1 line of symmetry, if it doesn't it has none
a fair die is cast four times. Calculate the probability of obtaining exactly two 6's
Answer:
25/216 or 0.1157
Step-by-step explanation:
The probability of getting a 6 is 1/6.
The probability of not getting a 6 is 5/6
We roll a die 4 times and want 2 sixes, and 2 not sixes.
We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this...
(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157
The long hand way of solving this is to list the 6 ways we can roll our desired result along with their probabilities...
We could get
6, 6, not 6, not 6 (1/6)(1/6)(5/6)(5/6) = 25/1296
6, not 6, 6, not 6 (1/6)(5/6)(1/6)(5/6) = 25/1296
6, not 6, not 6, 6 (1/6)(5/6)(5/6)(1/6) = 25/1296
not 6, not 6, 6, 6 (5/6)(5/6)(1/6)(1/6) = 25/1296
not 6, 6, not 6, 6 (5/6)(1/6)(5/6)(1/6) = 25/1296
not 6, 6, 6 not 6 (5/6)(1/6)(1/6)(5/6) = 25/1296
There are 6 different way this can happen, each having a probability of 25/196. We add up the probabilities, getting 150/1296, which reduces to
25/216
Answer:
11.6%
Step-by-step explanation:
[tex]\frac{4!}{2!\left(4-2\right)!}\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^2 = 0.116 = 11.6[/tex]