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Alekssandra [29.7K]

3 years ago

15

Given the following linear equation (y = -3/4x + 7), identify the 1. y-intercept and 2. slope. In addition, is the slant of the

linear line 3. positive or negative?

1 answer:

xxTIMURxx [149]3 years ago

5 0

Answer:

Step-by-step explanation:

y-intercept =0,7 Slope=-3/4

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Given<br> f(x) = 3x + 10 and g(x) = x - 2, find f (g(5))<br> -10<br> 23<br> None of these.

azamat

Answer: None of these

Explanation:

f(g(5)) first let’s find g(5)

We know:
g(x) = x - 2
g(5) = 5 - 2
g(5) = 3

Thus, f(g(5)) = f(3) because g(5) = 3

=> f(3) = 3(3) + 10
=> f(3) = 9 + 10
=> f(3) = 19

Therefore, f(g(5)) = 19

4 0

3 years ago

Read 2 more answers

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago

Which of the following are true?

coldgirl [10]

The answer is D because if you get the same answers from each shape that is congruent

7 0

3 years ago

100 points for correct answer

Tems11 [23]

Answer:

$\dfrac{x}{3}+\dfrac{3}{y}$

Step-by-step explanation:

<u>Given fraction</u>:

$\dfrac{xy+9}{3y}$

$\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:$

$\implies \dfrac{xy}{3y}+\dfrac{9}{3y}$

Rewrite 9 as 3 · 3:

$\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}$

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:

$\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}$

$\implies \dfrac{x}{3}+\dfrac{3}{y}$

7 0

1 year ago

The derived demand curve for a product component will be more inelastic

rusak2 [61]

Answer:

B. the more inelastic is the demand for the final product.

Explanation:

Inelastic demand occurs when demand rises by a lower percentage as compared to the percentage of the price drop.

Take for instance, if price drops by 10% and then demand only rises by 4%.

Now, the derived demand curve for a product component will be more inelastic when there's more rises by lower percentages of the final product than price drop. The more inelastic the demand for a product is, the more inelastic the demand derive curve will be.

7 0

3 years ago