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3 years ago

Explain how to write a function rule from the table below. Then write a function rule.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

y=mx+b is in slope intercept form

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How would u write 64 square centimeters?Also for my problem would I put 70 feet or 70 square feet?

Leto [7]

64cm2 but make the number two small and in the corner of the m
70 square feet

3 0

3 years ago

Read 2 more answers

What is the surface area of this square pyramid?

OLEGan [10]

240cm2 is the answer

3 0

2 years ago

Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?

nevsk [136]

Answer:

Brand A is the better buy

Step-by-step explanation:

bag Which is the better buy?

Step one

Brand A: $5 for 80 pounds of sand

Let us find the unit cost

Unit cost =5/80

=$0.0625 per pound

Brand B: $14 for 175 pound

The unit cost is

=14/175

=$0.08 per pound

4 0

3 years ago

Evaluate the following double integral where a = 2y

Keith_Richards [23]

Change the order of integration.

$\displaystyle \int_0^1 \int_{2y}^2 \cos(x^2) \, dx \, dy = \int_0^2 \int_0^{x/2} \cos(x^2) \, dy \, dx \\\\ ~~~~~~~~ = \int_0^2 \cos(x^2) y \bigg|_{y=0}^{y=x/2} \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^2 x \cos(x^2) \, dx$

Substitute $u=x^2$ and $du=2x\,dx$ .

$\displaystyle \frac12 \int_0^2 x \cos(x^2) \, dx = \frac14 \int_0^4 \cos(u) \, du = \frac14 \sin(u) \bigg|_{u=0}^{u=4} = \boxed{\frac{\sin(4)}4}$

4 0

11 months ago

John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Troyanec [42]

Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

where $t$ is the time in hours john has traveled since the gas station, and $d$ is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

$\boxed{b=20}$

Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

$m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5$

$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

8 0

2 years ago