Let f(x) = 2x - 1 and g(x)=x² + 4.
.
Find (fog)( - 1).

Three times a number: 3w

minus four: -4

is five: 5

so, the correct answer is

3w-4 = 5

Answer: 11 weeks

Step-by-step explanation:

The answer is 11 weeks when simplified.

The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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Answer:

c = 18

Step-by-step explanation:

Given

\(\frac{c}{3}\) = \(\frac{30}{5}\) = 6

Multiply both sides by 3

c = 3 × 6 = 18

The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

Here, we have,

given that,

the expressions are:

x² + 5x + 25

(a²/x + 5)²

(3m + 2) (3m +2)

d²8d + 16

x² +81

16x² - 64

now, we have to Select ALL expressions that are squares of linear expressions:

here, we get,

(a²/x + 5)² is a expression that is square of linear expression

(3m + 2) (3m +2) =  (3m + 2)² is a expression that is square of linear expression.

Hence, The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

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Therefore , the solution of the given problem of function comes out to be the interval's edges, rounded to four decimals, are -1.3233 and 0.7838.

The math lesson includes a variety of subjects, such as math, integers, but one's subdivisions, as well as architecture, construction, and that both real but rather fictitious geographic locations. A work covers the connections between different variables that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinctive results for each input.

Here,

First, we assess f(x) at the interval's endpoints:

=> f(-3) = 2(-3)^3 - 7(-3) + 4 = -43

=> f(3) = 2(3)^3 - 7(3) + 4 = 44

There must be at least one root in each of the gaps between (-3, r) and (r, 3), where r is the function's root, because the function changes sign at x = -3 and x = 3. To find the function's roots numerically,

we can use the bisection technique or Newton's method.

We can plot the function using a graphing calculator or computer software and see that there is one root in the range (-3, -2), one root in the range (-2, 0), and one root in the range (-3, -2). (0, 3).

Consequently, the periods where the function is positive on the range (-3, 3) are as follows:

=> (-3, -1.3233) and (0.7838, 3) (0.7838, 3)

The interval's edges, rounded to four decimals, are -1.3233 and 0.7838.

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Answer:

n=4 x=4

Step-by-step explanation:

3-5 = -2

12-20 = -8

find their what they have in common = 4

12·4= 48

3·4= 12

rearrange = 48-20 = n (12-5)

we should end up with 28 = n · 7

now we just need to figure out what ? · 7 = 28 which is 4

n = 4

I'm not sure if I did this correctly but I hope it helps

Answer: l used to know that

Step-by-step explanation:

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

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Answer:

x = 6

Step-by-step explanation:

the 2 right triangles are similar ( AA postulate ) , then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{3}{2}\) ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

Step-by-step explanation:

14: 1, 2, 7, 14

84:, 1,2,3,4,6,7,12,14,21,28,42,84

GCF: 14

Answer:

1/4

Step-by-step explanation:

becayse there are 4 different kinds of suits in a deck

Answer:

-2

Step-by-step explanation:

distribute the 3 first to get:

3a + 4.5 = -1.5

subtract 4.5 from each side to get:

3a = -6

a = -2

Answer:

840 cm

Step-by-step explanation:

From the diagram attached, the 3 by 3 grid is made up of nine 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of four rows each row having a length of 3 cm and four columns with each column having a length of 3 cm.

The length of wire required by the 3 by 3 grid = 4 column (3 cm / column) + 4 row (3 cm / row) = 12 cm + 12 cm = 24 cm

The 20 by 20 grid is made up of twenty 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of twenty one rows each row having a length of 20 cm and twenty columns with each column having a length of 20 cm.

The length of wire required by the 20 by 20 grid = 21 column (20 cm / column) + 21 row (20 cm / row) = 420 cm + 420 cm = 840 cm

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.

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Your actual bedroom is 23.75 feet long.

If the length of your bedroom on the blueprint is 3 inches and the scale used is 1 to 95, we can use proportions to determine the actual length of your bedroom in feet.

Let's set up the proportion using the given information:

1 inch on the blueprint corresponds to 95 inches in reality.

3 inches on the blueprint corresponds to x inches in reality, where x represents the actual length of your bedroom in inches.

Using the proportion:

1 inch on blueprint / 95 inches in reality = 3 inches on blueprint / x inches in reality

By cross-multiplying:

1 * x = 95 * 3

x = 285 inches

Now, to convert inches to feet, we divide the length in inches by 12:

285 inches / 12 = 23.75 feet

It's important to note that when dealing with blueprints and scales, it is crucial to carefully follow the scale ratio to accurately determine real-life measurements. In this case, the proportion and conversion allowed us to determine the length of your bedroom in feet based on the given blueprint scale.

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I think the answers 3048_&8_9_)_)_

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer: The area is going to be 0.8

Step-by-step explanation:  The diameter is 1

You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.

After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14

3.14(0.5)^2= 0.785

you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.

So, the Area is 0.785 but after rounding it is 0.8.

Hope that helped :)

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

Hope this helps

Answer: 40 dresses will fit in each box.

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Answer:

Step-by-step explanation:

Our expression given: 3(x-6) + 2y

A. Substitute x = -7 and y = 10 into the equation.

\(3( - 7 - 6) + 2(10)\)

Use the Distributive Property:

\( - 21 - 18 + 20\)

Solve:

\( - 19\)

B. Substitute x = 5 and y = -2 into the equation.

\(3(5 - 6) + 2( - 2)\)

Use the Distributive Property:

\(15 - 18 + -4\)

Solve:

\(-7\)

C. Substitute x = 0 and y = 6 into the equation.

\(3(0 - 6) + 2(6)\)

Use the Distributive Property:

\( - 18 + 12\)

Solve:

\(-6\)

D. Substitute x = 3 and y = 3 into the equation.

\(3(3 - 6) + 2(3)\)

Use the Distributive Property:

\(9 - 18 + 6\)

Solve:

\(-3\)

Think of the original amount as 100%

If we want 100% of something we multiply by 1

To get from 100% to 1, we divide the percentage by 100

Decrease 100% by 19%

100% - 19% = 81%

Then to get the multiplier, divide by 100

81% / 100 = 0.81

To decrease by 19%, multiply by 0.81

Answer:

7....................

Answer:

the area is 15

Step-by-step explanation:

if you split this shape into a triangle and a square, the triangle would measure with a legnth og 4 and a with of 3, which = 12 and then you divide by 2 to = the triangles area(6) then you add tht to the area of the square 3*3=9. so the answer would be 15

Answer:

0.05 metre

5×10^5 kilometer

1.9685

Answer:

Step-by-step explanation:

Answer:

973.45 mi²

Step-by-step explanation:

area of a sector

a = (∅/360) * πr²

a = (309/360) * π(19)²

a = 973.4486636536

Rounded

a = 973.45 mi²