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3 years ago

Find an equation for the linear function which has slope -10 and x-intercept -7

Mathematics

1 answer:

Alik [6]3 years ago

4 0

Answer:

y=-10x-7

Step-by-step explanation:

y=mx+b

m=slope & b= y-intercept

Just plug the numbers into the equation which results in <u>y=-10x-7</u>

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A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed. How many teaspoons are needed for 5 cup

skad [1K]

3 / 1½ = 2 cups of flour per teaspoon

2x = 5
divide both sides by 2 to isolate x

x = 2.5

You need 2.5 teaspoons of vanilla for 5 cups of flour.

4 0

3 years ago

Value of the y-intercept of the graph of f(x) = e1–x – 1?

frozen [14]

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

5 0

3 years ago

3 ½ + 1 1/3 help me out I’ll give you v bucks

ratelena [41]

Answer:

(3 * (1 / 2)) + 1 1/3 = 2.83333333

Step-by-step explanation:

Hope this answer helps you :)

5 0

2 years ago

Read 2 more answers

Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)

Anon25 [30]

Answer:

A = 27π cm²

Step-by-step explanation:

Area of the shaded region = area of full circle of O - Area of the unshaded sector

= (πr²) - (θ/360*πr²)

Where,

r = 6 cm

θ = 360

Area of shaded region = (π*6²) - (90/360*π*6²)

= (36π) - (¼*π*36)

= 36π - 9π

Area of shaded region = 27π cm²

4 0

2 years ago

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

Read 2 more answers