Find g(h(x))
f(x) = 4x – 6
g(x) = 5/3x + 1
h (x) = -12x^2 - 6x

Answers

Answer 1

Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]


Related Questions

Is the function f(x) = 10 linear or nonlinear?

Answers

Nonlinear
Linear function needs X for exponent 1
This is constant function.

The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation. t=√2d/a

Answers

Answer:

720

Step-by-step explanation:

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

The initial Velocity of that object would be zero.

What is initial velocity?

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. When gravity first exerts a force on an object, its initial velocity defines how quickly the object moves.

They are three initial velocity formulas:

(1) If time, acceleration, and final velocity are provided, the initial velocity is articulated as u = v – at

(2) If final velocity, acceleration, and distance are provided we make use of u² = v² – 2 as

(3) If distance, acceleration, and time are provided, the initial velocity is

s = ut + 1/2at²

Where,

Initial velocity = u,

Final Velocity = v,

time taken = t,

distance travelled or displacement = s,

acceleration = a

From the third formula of velocity

s = ut + 1/2at²

If u = 0

then s = 1/2at²

=> at² = 2s

=> t² = 2s/a

=>t = [tex]\sqrt{2\frac{s}{a} }[/tex]

Which is the same as the given equation

therefore, That object's initial velocity would be zero.

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Helppppp

Find the equation of the line parallel to y = -1/2 - 4 and goes through the point (-2,-5)

Answers

Answer:

The equation of the line is y = - 1/2 x - 6

Step-by-step explanation:

The equations of parallel lines have the same slopes and different y-intercepts

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)To find b substitute x and y in the equation by the coordinates of a point on the line

∵ The given equation is y = -1/2 x - 4

→ By comparing it by the form of the equation above

∴ m = -1/2

∵ Parallel lines have the same slope

The slope of the line = -1/2

→ Substitute it in the form of the equation above

y = - 1/2 x + b

∵ The line passes through the point (-2, -5)

→ To find b substitute x by -2 and y by -5

∴ -5 = -1/2 (-2) + b

∴ -5 = 1 + b

→ Subtract 1 from both sides

∴ -5 - 1 = 1 - 1 + b

-6 = b

→ Substitute the value of b in the equation above

∴ y = - 1/2 x + (-6)

y = - 1/2 x - 6

The equation of the line is y = - 1/2 x - 6

The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, find the measure of the shortest side.

Answers

Answer:

28

Step-by-step explanation:

4x + 9x + 8x = 147

21x = 147

x = 147/21

x = 7

========

The shortest side will be 4x

4*7 = 28

what is the quotient of 3 divided by the sum of 5 and 1

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5+1} =\frac{3}{6} =\frac{1}{2}[/tex]

Convert each measure to the equivalent metric unit.
8 cm = mm
7 km = m
18 g = kg
43 kg = g
234 L = mL
1 346 mL = L
0.81 km = cm
0.05 dm = dam
1.32 cg = kg
3.7 mcg = mg​

Answers

Answer..

Q 1, 80 mm

2, 7000

3,

Fraser scores 43% in a spelling test. What percentage did he get wrong?

Answers

Answer: 57%

100 - 43 = 57

Answer is 57

Answer:

he got 57% wrong

Step-by-step explanation:

all you gotta do is subtract 43 from 100 and it will give u the percentage

Solve for x:


4(1-x) + 2x = -3(x+1)


A. -7

B.-3/4

C.-1.4

D.1.4

Pls help

Answers

Answer: A

Step-by-step explanation:

4( 1 - x) + 2x = -3(x + 1)

4 - 4x + 2x = -3x - 3               Distribute numbers to paranthesis

4 - 2x = -3x - 3                       Add like terms

4 + x = -3                                Add 3x to both sides

x = -7                                       subtract 4 to both sides

Answer:

hi

Step-by-step explanation:

thanks for my points back when u went to my post and didnt answer and said free points so ty for the oints back i hate people like u ur so rude bruh

2m + 3m² - 4m
Simplify pls

Answers

Answer:

2m+3m2=5m2-4m=1m2

1m2 answer

A museum currently has 84 members. How many more members does the museum need to reach its goal of having 100 members?

Answers

Answer:

16 members

Step-by-step explanation:

100 - 84 = 16 members

Answer:

16 more mombers

Step-by-step explanation:

if you take 100 and you subtract 84 then you will get 16. it can go the other way to if you add 16 to 84 then you will get 100 its basic math

Is the equation 2x +
4 = 5x - 6 a literal equation? Explain.

Answers

Answer:

No

Step-by-step explanation:

Say for example that x = 1, so 2 + 4 = 5 - 6 that doesn't work and most likely wont work with any other number.

No, the equation [tex]2x + 4 = 5x - 6[/tex] is not a literal equation.

We have to given equation,

[tex]2x + 4 = 5x - 6[/tex]

What is literal equation?

A literal equation is an equation which consists primarily of letters.

Or we can say that, literal equation are equation with two or more variables.

Now, here given equation is  [tex]2x + 4 = 5x - 6[/tex]

Clearly in the above equation only one variable use ( x ), so it is not literal equation.

Another way,

Put x = 1 in above equation we get,

2 + 4 = 5 - 6

clearly it is doesn't work.

So given equation [tex]2x + 4 = 5x - 6[/tex] is not a literal equation.

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-(7/10)+2/8+1/10-(4/8)

Answers

Answer:  - 17/20

or in decimal form -0.85

hope this helps

Step-by-step explanation:

The side length of a square garden is 12 feet. Find the area of the garden in square feet.

Answers

Answer:

A = 144 ft^2

Step-by-step explanation:

The area of a square is found by

A = s^2 where s is the side length

A = (12 ft)^2

A = 144 ft^2

Answer:

144 sq ft

Step-by-step explanation:

In order to find the area you have to multiply the length and the width

12 x 12

=

144 sq ft

10) Cynthia is shopping for a new camera. It costs $549.95. If she has a 15% off coupon and $500 saved up, how much will the camera cost if the sales tax is 8.25%? Will she have enough money to pay for her camera?
Percent:
Part/
Whole/
Percent:
Part/
Whole/​

Answers

Answer:

$506.03

Step-by-step explanation:

15% off of $549.95 = $467.46

8.25 tax on $467.46 = $506.03

Write the sentence as an equation.
268 is the same as the product of t and 196

Answers

368 hope I’m right sorry if I’m wrong

Brady wants to purchase a skateboard that costs $245. So far, he has saved $98 and plans to save
an additional $25 per week.
What is the minimum number of weeks that Brady will be able to purchase the skateboard? Justify
your answer.

Answers

Answer:

five almost 6 weeks

Step-by-step explanation:

brady is saving up to 245 but he already has 98 which means he needs to save 147 more dollars. Brady is making 25 a week so if you divide 147 by 25 you get 5.88 so in 6 weeks he can have a new skateboard with a couple extra doll hairs.

Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0

Answers

Answer:

0, 7, ± i

Step-by-step explanation:

Solving for x

- 2x^5 + 14x^4 - 2x^3 + 14x^2=0x^5 - 7x^4 + x^3 - 7x^2 = 0x^2 ( x^3 - 7x^2 + x - 7) = 0x^2( x^2(x - 7) + (x - 7)) = 0x^2(x^2 + 1)(x - 7) = 0x^2 = 0 ⇒ x = 0x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± ix - 7 = 0 ⇒ x = 7

The solutions to the original equation -2x³ + 14x²- 2x³ + 14x² = 0 are x = 0, -0.391, 0.099, 7.293

To solve the equation algebraically, factor out an "x^2" term from each term:

x²(-2x³ + 14x²- 2x + 14) = 0

Now, we have two factors:

x² = 0

-2x³ + 14x² - 2x + 14 = 0

First, let's solve the first factor, which is a simple quadratic equation:

x² = 0

x = 0

Now, let's solve the second factor by factoring out a common factor of 2:

2(-x³ + 7x² - x + 7) = 0

Now,use the rational root theorem or synthetic division to find the roots of the cubic equation -x³ + 7x² - x + 7 = 0. However, in this case, the equation does not have any rational roots. Therefore, we need to use numerical methods or graphing techniques to find the approximate solutions.

Using numerical methods or graphing, we find that the approximate solutions for the equation -x³ + 7x² - x + 7 = 0 are:

x ≈ -0.391

x ≈ 0.099

x ≈ 7.293

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-3 times b is smaller than -33

Answers

Answer:

l think so because -3 if you add a 0 (-30) its smaller than -33


A deli offers 12 different toppings. How many different choices of 5 toppings are there?

Answers

Answer:

vanilla,chocolate strawberry,blueberry,bubblegum

Step-by-step explanation:

Salami , chicken , ham , beef , cheese yuck

A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale?​

Answers

Answer:

$90.00

Step-by-step explanation:

40% of What is 36?

40/4 = 10 (10%)

36/4 = 9 (9 is 10% of the answer we are looking for)

Multiply both answers (9 and 10) by each other.

You get 90

What is the value of the function y = 2x + 3 ⁢whenx=−1?

5
2
1
​−5​

Answers

Answer:

1

Step-by-step explanation:

You plug in -1 into x so the problem is y=2(-1)+3 and you get y=1

Answer:

THE ANSWER IS 1 TRUSt me

Step-by-step explanation:

What’s the range of the solution

Answers

Answer:

C

Step-by-step explanation:

Laisha's Internet Services designs websites and recently began a weekly advertising campaign
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on
the pattern shown in the graph, make a conjecture about the number of customers Laisha will
have in the seventh week.
Laisha will have 7 customers
Laisha will have 8 customers.
Laisha will have 9 customers
Laisha will have 10 customers

Answers

Answer:

she will have 8

Step-by-step explanation: because it passes through the origin

In the 7th week, Laisha will have 8 customers. Option B is correct.

Given that,
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on the pattern shown in the graph, make a conjecture about the number of customers Laisha will have in the seventh week is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function m = 1
y-intercept = 1
The equation that represents the condition,
y = x + 1
Where y = number of customers and x = number of weeks
Now for x = 7
y = 7 + 1
y = 8

Thus, in the 7th week, Laisha will have 8 customers. Option B is correct.


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Consider the following equation,
bh + hr = 25

Solve the equation for h

Answers

Answer:

Step-by-step explanation:

Problem 5


Please help

Answers

90 degrees that’s the answer for this question

In a class of 60 students 8 will be left handed. If a class includes 20 lefties, estimate how many students are in the class.

Answers

Answer:

150

Step-by-step explanation:

60/8=x/20. Solve for x. So cross multiply 20•60=1200 divided by 8=150

Use the given information to find the measure.

Answers

Answer:

AOC = 104° (total from A to C)

BOC = 60°

AOB = 104 - 60 = 44°

[tex]ac = 104 = ab + bc \\ 104 = 7x + 30 + 9x + 42 \\ 104 = 16x + 72 \\ 16x = 32 \\ x = 2[/tex]

[tex]bc = 9x + 42 \\ = 9(2) + 42 = 60[/tex]

Solve |2s−7| ≥ −1. Please help

Answers

Answer:

S = All real numbers / (∞,∞)

Step-by-step explanation:

Absolute values are ALWAYS greater or equal to zero. Therefore, you could plug any number into S, and it would still be greater than 1.

One container of fertilizer covers 900 square feet. A property has a rectangular backyard that is 30 feet long and 20
feet wide. The front yard is triangular with a base of 24 feet and a height of 12 feet. What percentage of the container
will be used on the property? Round to the nearest percentage.

Answers

Answer:

82.67% of the fertilizer will be used on the property.

Step-by-step explanation:

Area of Plane Figures

The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.

The area of a rectangle is calculated by:

[tex]A_r=L*W[/tex]

And the area of a triangle is:

[tex]\displaystyle A_t=\frac{B*H}{2}[/tex]

All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.

The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:

[tex]A_r=30*20=600\ ft^2[/tex]

[tex]\displaystyle A_t=\frac{24*12}{2}=144\ ft^2[/tex]

The total area of the backyard is:

[tex]A=600\ ft^2+144\ ft^2=744\ ft^2[/tex]

To find the percentage of the container, we calculate:

[tex]\displaystyle \frac{744}{900}*100\%=82.67\%[/tex]

82.67% of the fertilizer will be used on the property.

Find the x intercept of 3x-6y=24

Answers

The x intercept is 8
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