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3 years ago

10

This table of values represents a linear function.

1 answer:

Vesna [10]3 years ago

3 0

4.5 to 6.5 i think not really shure

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The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate o

stellarik [79]

Answer:

She spends 2 hours driving.

Step-by-step explanation:

The formula given is:

$d = rt$

In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.

Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.

This means that $d = 80, r = 50$

To the nearest hour, how many hours does she spend driving?

We have to find t. So

$d = rt$

$50t = 80$

$t = \frac{80}{50}$

$t = 1.6$

Rounding to the nearest hour

She spends 2 hours driving.

4 0

4 years ago

HELPP MEE PLZZZ<br>Subtract. y-11/4y - 5y/6y^2?

lora16 [44]

The answer is 3y-43/12y

8 0

3 years ago

Help please triangles and trig

Oksanka [162]

Answer:

$\sin L = \frac{3}{5}$

$\tan N = \frac{4}{3}$

$\cos L = \frac{4}{5}$

$\sin N = \frac{4}{5}$

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

$LN^2 = LM^2 + MN^2$

$10^2 = LM^2 + 6^2$

$100 = LM^2 + 36$

Collect like terms

$LM^2 = 100 - 36$

$LM^2 = 64$

Take positive square root

$LM=8$

Solving (a): Sin L

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

$\sin L = \frac{6}{10}$

Simplify

$\sin L = \frac{3}{5}$

Solving (b): tan N

$\tan N = \frac{Opposite}{Adjacent}$

$\tan N = \frac{LM}{MN}$

$\tan N = \frac{8}{6}$

Simplify

$\tan N = \frac{4}{3}$

Solving (c): cos L

This calculated as:

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

$\cos L = \frac{8}{10}$

Simplify

$\cos L = \frac{4}{5}$

Solving (d): sin N

This is calculated using:

If $a + b = 90$

Then: $\sin a = \cos b$

So:

$\sin N = \cos L$

$\sin N = \frac{4}{5}$

8 0

3 years ago

Write a polynomial function in standard form with given zero x=2,-1,-5

LekaFEV [45]

Answer:

Done below!

Step-by-step explanation:

(x - root)

(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)

$(x^{2} +x-2x-2)(x+5)=(x^{2} -x-2)(x+5)=x^{3}+5x^{2}-x^{2} -5x-2x-10\\\\=x^{3}+4x^{2} -7x-10$

4 0

3 years ago

Gustavo's bicycle cost $171.18 after a sales tax of 8%. write and solve an equation to find the price of the bike before the sal

Kryger [21]

Let x = price of the bike before a sales tax.

The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars

Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50

Answer: 158.50

3 0

4 years ago