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2 years ago

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to

1 answer:

6 0

The answer is If you would like to find the expression that is equivalent to (t*s)(x), you can calculate this using the following steps:

s(x) = x - 7
t(x) = 4x^2 - x + 3

(t*s)(x) = t(s(x)) = t(x - 7) = <span>4(x - 7)^2 - (x - 7) + 3 = 4(x - 7)^2 - x + 7 + 3

The correct result would be </span>4(x – 7)2 – (x – 7) + 3.

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In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer

inysia [295]

The answer is AB = 6.

External value x (external value + internal value) =
External value x (external value + internal value) of the other side

Substitute, transpose, and simplify.

TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4

To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6

3 0

2 years ago

A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli

Snezhnost [94]

<em>The question has missing details. However, general questions that could be asked is as follows:</em>

<em>(1) The number of miles traveled after using (say) 5 gallons</em>

<em>(2) The number of gallons used after traveling for (say) 36 miles</em>

Answer:

See Explanation

Step-by-step explanation:

Given

$s = 120 - 12r$

A linear equation is represented as:

$y = c + mx$

Where

$c =y\ intercept$ and

$m = slope.$

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

$s = 120 - 12r$

$s = 120 - 12 * 5$

$s = 120 - 60$

$s = 60$

<em>60 miles traveled</em>

Solving (b): s = 36

$s = 120 - 12r$

$36 = 120 - 2r$

Collect like terms

$2r =120 -36$

$2r =84$

Solve for r

$r = 42$

<em>42 gallons used</em>

4 0

2 years ago

What is 33 percent of 400

Eduardwww [97]

<h2>QUESTION</h2>

What is 33% of 400?

<h2>ANSWER AND EXPLANATION</h2>

To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.

<h3>DECIMAL</h3>

To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.

$33 \% \rightarrow 0.33$

Now that you have your decimal, multiply by 400:

$0.33 \times 400 = 132$

ANSWER = 132

<h3>FRACTION</h3>

To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.

$33 \% \rightarrow \frac{33}{100}$

Now that you have your fraction, multiply by 400:

$\frac{33}{100} \times 400 = \frac{13200}{100} \rightarrow 132$

ANSWER = 132

<em>If you have any questions, feel free to ask in the comments! :)</em>

4 0

3 years ago

Read 2 more answers

-7x^3-9x^2+8x this is factoring completely

loris [4]

Answer:
<span> (x + 6) • (x + 5) • (x - 2)

Is this what u were looking for? Sorry if not XDD

</span>

3 0

2 years ago

Read 2 more answers

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

lapo4ka [179]

Answer:

h(t) = -5t + 500

Step-by-step explanation:

At time zero, the elevator is at 500 ft.

At time 5 seconds, the elevator is at 475 ft.

The difference in height is -25 ft.

The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.

For each second of travel, it loses 5 ft of height.

h(t) = -5t + 500

7 0

2 years ago