Write an equation that represents the line. Use exact numbers.
Write an equation that represents the line. Use exact numbers. - 1

Answers

Answer 1
Answer:

Answer:

y=3x/4  +2

Step-by-step explanation:

 (0;2)  and (4;5)

 (x1;y1) ;    (x2;y2)

y=mx+b

m=(y2-y1)/(x2-x1)

m=(5-2)/4-0)

m=3/4

y=mx+b=> 2=3/4 *0+b; => b=2

So, y=3x/4  +2


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The path of the water in a pond fountain can be modeled by y=-0.1x^2+2.8x , where x and y are measured in feet. The x -axis represents the surface of the pond. Find the width of the path at the surface of the pond and the height of the path.Width: ___ ft Height: ___ ft
How many groups of 7 are in 21?
Which graph shows a system with no solutions? Graph A Graph B Graph C y=-3x 5+ y = 2x-1 بل 42y = 4x-2​
Simplify the expression 8^2 + 9 (12/3 x 2)-7. Explain each of your steps
What is 398 hundreds x 52 tens?

What is 2 3 of 99kg?

Answers

Step-by-step explanation:

(2)/(3)  *  (99)/(1)  = 66 \: kg

Select all that justify the following statement.2•1/2=1
commutative - addition
inverse - addition
associative - multiplication
symmetric
commutative - multiplication
associative - addition
inverse - multiplication

Answers

Answer:

G: Inverse multiplication

Step-by-step explanation:

Statement is 2•1/2=1

Now, what this means is that when we multiply a number by it's inverse form, the result will be 1.

This means that this statement denotes an inverse multiplication.

Thus, the last option is the correct answer

Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?

Answers

Answer:

she could only make 4

Step-by-step explanation:

If M/N=5 then what is the answer to m^2−25n^2?

Pleas Solve quickly, thank you.

Answers

if..m/n = 5

then .. m = 5n
substitute 5n for m
 (5n)² - 25n² 
25n² - 25n² = 0




H= -16t^2+16t+192 When will the ball hit the​ ground?

Answers

Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is  16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

or

t + 3 = 0

t = -3 s  which we ignore as it occurs before the ball is released.

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of five cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?

Answers

Answer with explanation:

Let \mu be the population mean.

Null hypothesis : H_0:\mu\geq26

Alternative hypothesis : H_1:\mu<26

Since the alternative hypothesis is left tailed, so the test is a left-tailed test.

Sample size : n=5 <30 , so we use t-test.

Test statistic: t=\frac{\overline{x}-\mu}{(\sigma)/(√(n))}

t=(25.2-26)/((1)/(√(5)))\approx-1.79

Critical t-value for t=t_(n-1, \alpha)=t_(4,0.06)=1.9712

Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.

Hence, we have sufficient evidence to support the company's claim.