f p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)
Answer:
[tex]2x^{2} - 16x + 30[/tex]
Step-by-step explanation:
Here we have to find p(q(x))
q(x) =x -3
we will plug value of q(x) in x of p(x)
p(x) =2x2-4x
p(q(x)) = 2(x-3)2-4(x-3)
= 2(x2-6x+9)-4(x-3)
=2x2-12x+18 -4x+12
[tex]2x^{2} + 16x + 30[/tex]
The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.
A.
$95
B.
$80
C.
$90
New price = 90 dollars
25% of 120 = 30
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
Find the area of the pyramid net
Step 1
Find the area of the Square in the middle
Formula for finding square:
[tex]A = L*W[/tex]
Let's apply the formula and find our answer:
[tex]A = 2*2\\=4[/tex]
The area of the square is 4 units
Step 2
Find the area of all 4 triangles around the square
As you know, the formula for finding 1 triangle is as follows:
[tex]A = \frac{1}{2} *B*H[/tex]
But, to find the area of 2 triangles, we can use this formula:
[tex]A=B*H[/tex]
And to find 4 of them (with same dimensions;as required here), we can use this one:
[tex]A=2*B*H[/tex]
Let's apply the formula then! What are we waiting for!!!!
[tex]A=2*2*2\\=2*4\\=8[/tex]
The area of ALL of the triangles around the square is 8 units
Step 3
Add all areas to find FINAL ANSWER!
Easy!
4+8=12
The area of the Pyramid Net is 12 unitsAnswer:
12 is the answer because 2 x 2 = 4 but since it is a triangular face we half it and end up with 2, 2 x 4 is 8, the square it 2 x 2 = 4 so we add 4 and 8 which equals 12
HElppppp pleaseee......
Answer: \sqrt[4]{xy^{2} }
Step-by-step explanation: Siplified
Solve for x
4(x + 6) = 3x – 7
Answer:
-31 = x
Step-by-step explanation:
Step 1 4x + 24 = 3x - 7
Step 2 x + 24 = -7
Step 3 x = -31
Hope this help!!!
HELP NEED ANSWER VERY SOON Which of the following box plots has the HIGHEST overall speed The box plots compare the speeds of cars traveling on a highway
Answer
North of the box plot speed over 72 is the answer because it is a very high speed of the chart and it shows that the its going over the average speed
Can someone help with this I don't understand
Answer:
1. B 15
2. C Hexagon
Step-by-step explanation:
1.Euler's formula tells you the relation between numbers of faces, vertices, and edges of a polyhedron is ...
F +V = E +2
Solving for the number of faces, we have ...
F = E +2 -V
For the given numbers, the missing number is ...
F = 26 +2 -13 = 15
Faces: 15
__
2.The cross section (shaded figure) is described by the number of edges it has. You can count them. There are three pairs of parallel edges, for a total of 6 edges. That makes the figure a hexagon.
Use cubic regression to find a
function that fits the following
points.
(1,-1), (2,-13), (3,-45),(-1,11)
y = [?]x3+[ ]x2+0 ]x+[ ]
The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3
How to determine the function?The points are given as:
(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)
A cubic regression function is represented as:
y = ax³ + bx² + cx + d
Next, we determine the cubic function using a graphing calculator.
From the graphing calculator, we have the following coefficients:
a = -2b = 2c = -4d = 3Recall that:
y = ax³ + bx² + cx + d
So, we have:
y = -2x³ + 2x² - 4x + 3
Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3
Read more about regression functions at:
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Question 10
If y varies inversely as x and y = -6 when x = 4, find the value of y when x = 5.
Pls help me and show work! Thank you <3
Answer: 18
Step-by-step explanation:
By the consecutive interior angles theorem, [tex]5x+7x+24=180 \longrightarrow x=13[/tex].
So, this means that using the corresponding angles theorem, [tex]7x+24=6y+7[/tex], and since [tex]x=13[/tex], this means that [tex]7x+24=115[/tex].
So, [tex]6y+7=115 \longrightarrow \boxed{y=18}[/tex]
What is the probability that he will hit fewer than 8 of the bottles?
Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
The probability of a bottle being hit is of p = 0.95.There are n = 10 bottles.The probability that he hits fewer than 8 of the bottles is given by:
[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]
In which:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746[/tex]
[tex]P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
Hence:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988[/tex]
[tex]P(X < 8) = 1 - P(X \geq 8) = 0.012[/tex]
The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
More can be learned about binomial distribution at https://brainly.com/question/24863377
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Graph y=|3x| using as many points as needed
Answer:
Graph is below
Step-by-step explanation:
I am going to use 3 points to make this graph
(0,0)
(-1,3)
(1,3)
Answer:
(0,0), (-1,3), (1,3)
Step-by-step explanation:
The graph is below!
Hope this helps!!!!!!!!!!!!
Factor completely 25-64x^2
Answer:
(5+8) (5-8)
Step-by-step explanation:
They are both perfect squares.
Answer:
(5+8x)(5-8x)
Step-by-step explanation:
This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.
If you know how to factor quadratic trinomials like
ax^2 + bx + c, you can do the same thing here, using:
64x^2 +0x + 25
BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:
(5 8x)
Make two of them:
(5 8x)(5 8x)
Make one a plus and one a minus.
(5 + 8x)(5 - 8x)
Done!
Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.
Hope this helps!
What is the missing fifth term in the
pattern below?
1,8, 27, 64, ___
Answer:
the pattern is going in the form of 1³ , 2³ , 3³ , 4³
therefore next term should be 5³ which is equal to 125. So the missing term is 125
I hope you got that.
By : Modern Einstein
Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
a.
-5°F, -8°C, 40°F, 10°C
b.
-5°F, -8°C, 10°C, 40°F
c.
-8°C, -5°F, 10°C, 40°F
d.
-8°C, -5°F, 40°F, 10°C
Answer: A
Step-by-step explanation: I hate when theres problems like this, considering theres celcius and fahrenheit but the correct answer is A
Solve the system using elimination.
Answer:
3x +2y = 11 .... 1
x +5y = 8....2
x + 5y = 8
multiply by -3 on both sides
-3x - 15y = -24
-3x - 15y = - 24
3x +2y = 11
-13y = -13
y = 1
substitute the value of y in 1 or 2
3x +2y = 11
3x = 11 - 2y
3x = 11 - 2(1)
3x = 9
x = 3
(x;y) ( 3 ; 1)
eq(2)×3
3x+15y=24-(3)eq(1)-eq(3)
-13y=-13y=-13/-13y=1Putting in eq(2)
x+5=8x=8-5x=3Pair
(3,1)How many inches are in one and a half yards
Answer:
54
Step-by-step explanation:
54 inches
hope it helps...!!!
two ships leave a harbor at
the same time. One ship travels
on a bearing S15°W at 10 miles per
hour. The other Ship travels on a
bearing N75°E at 10miles per hour.
bearing
How far apart will the ships be
after 3 hours?
Answer:
30√3 ≈ 51.96 miles
Step-by-step explanation:
The distance between the two ships can be found using the Law of Cosines, or using your knowledge of the side relationships in special triangles.
__
Each ship is traveling at 10 mph, so after 3 hours will have traveled 30 miles.
The triangle OS1S2 formed by the harbor and the two ship locations is an isosceles triangle with base angles of 30°. Each half of OS1S2 is a 30-60-90 triangle whose longer leg is √3 times half the hypotenuse. The sum of those two "longer legs" is the distance between the ships.
The distance between ships is 2×15√3 = 30√3 ≈ 51.96 miles.
_____
Additional comment
If you prefer to use the Law of Cosines, you are looking for the length of the side opposite the 120° angle in a triangle with sides of 30 miles.
c² = 30² +30² -2·30·30·cos(120°) = 30²(2-2·(-0.5)) = 3·30²
c = 30√3 . . . . . take the square root (miles)
How do complementary angles relate to right angles?
HELP ME PLEASE!!!!!!!!!!!!!!!!
Answer:
40
Step-by-step explanation:
you multiply them all together
The angle XYZ has and angle y which is twice the size of x. If the third angle is 20 degree what is the value of x and y
The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The angle XYZ has an angle y which is twice the size of x. Thus,
2x=y
The third angle is 20 degree, which is Z. Thus,
z=20
By the triangle angle sum theorem,
x+y+x=180
x+2x+20=180
3x=180-20
x=160/3
x=53.33
The measure of angle y is,
y=2×53.33
y=106.66
Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
Learn more about the triangle angle sum theorem here;
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A rectangle has a perimeter of 36 feet and a base of 14 feet. What is the height?
Answer:
The answer is 4.
Step-by-step explanation:
If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.
F(x)=2x-5 if x is 0
Please help hurry
Answer: -5
Step-by-step explanation:
2(0)-5
0-5 = -5
after spending 80% of her daily allowance, Ola found out she had 25k left. How much was her total allowance?
Answer:
31.25 k
Step-by-step explanation:
80 % * x = 25 k
.80 x = 25 k
x = 25 k / .80 = 31.25 k
Answer:
125k
Step-by-step explanation:
You want to know Ola's daily allowance if 25k remained after 80% was spent.
SetupThe fraction remaining was 100% -80% = 20%. If that fraction of Ola's allowance (a) is 25k, we have ...
0.20a = 25k
SolutionDividing by 0.20, the value of 'a' is shown to be ...
a = 25k/0.20 = 125k
Ola's total daily allowance was 125k.
what is the slope of a line that is perpendicular to the line shown? A-1/3 B-1 C-2/3 D-3/2
Answer:
-1
Step-by-step explanation:
perpendicular = always has a slope of neg 1
Answer:
-1
Step-by-step explanation:
It is -1. I can't explain, I just did it in my head, so sorry!
Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill. Next she spent one-half of what was left on her phone bill. After spending $57.00 on gas for her car, Lydia had $92.00 left. How much did Lydia spend on rent?
A. $298
B. $466
C. $764
D. $932
Answer:
B) $466Step-by-step explanation:
Let the amount of rent is R
Calculate the value of R in reverse order of spending
R = (92 + 57)*2 + 168 = 466Correct choice is B
Answer:
B. $466
Step-by-step explanation:
[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]
[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]
Modelling the given information to find the total salary:
[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]
[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]
[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]
[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]
[tex]\implies x-\frac{1}{2}x+168=634[/tex]
[tex]\implies \dfrac{1}{2}x=466[/tex]
[tex]\implies x=932[/tex]
Therefore, Lydia's total salary was $932
[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]
use the graph of the parabola to fi in the table
Answer:
line of symmetry: x = -3
intercepts...
x - intercept: (-4, 0) and (-2, 0)
y - intercept: (0, 8)
vertex: (-3, -1)
Step-by-step explanation:
The image isn't that clear but what I can get is what listed
line of symmetry is the line straight down the middle as if the graph is reflected to the other side
intercepts...
x - intercept is when y = 0, note there is 2 of these a negative and positive root
y - intercept is when x = 0
vertex is the turning point
for an upward curve its a min
for a downward curve it a max
I attached an example of each on of these
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side
GH. Round your answer to the nearest tenth if necessary.
5
E
23.3
H
C
7
Answer: 32.6
Step-by-step explanation:
Triangle E has a perimeter of 125 inches. Two of
its side lengths are 26 inches and 55 inches.
What is its missing side length?
Answer:
44 inches
Step-by-step explanation:
perimeter of triangle = length of side 1 + length of side 2 + length of side 3
length of side 1 = 26
length of side 2 = 55
125 = 26 + 55 + length of side 3 = 81 + length of side 3
subtract 81 from both sides to get the length of side 3
length of side 3 = 44 inches
Which term describes BCD
Check the picture below.
