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3 years ago

Mrs. Dumas has $130 to buy basketballs for Edison Middle School How many can she buy at $15 each? Interpret the remainder

Mathematics

2 answers:

Wewaii [24]3 years ago

5 0

He can buy 8 with a remainder of 10 dollars

alisha [4.7K]3 years ago

4 0

First, you would divide the 150 by 15 to see how many basketballs you could buy. When you do so, you get 8 2/3. Since we can't buy 2/3 of a basketball, you can only buy 8.

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What is the slope of the line AB?

spayn [35]

Answer:

The slope of line AB is 2/1

Step by step explanation:

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6 0

3 years ago

On a recent quiz, the class mean was 72 with a standard deviation of 4.2. Calculate the z-score (to 2 decimal places) for a pers

barxatty [35]

Answer:

The Z score of the person is -3.09.

Step-by-step explanation:

The standard normal deviate (Z) for a normal distribution is given by

$Z=\frac{X-\bar{X}}{\sigma }$

where,

X = the value of observation

$\bar{X}$ is mean of the observations and

σ = standard deviation of the score

Applying values we get

$Z=\frac{59-72}{4.2}=-3.09$

5 0

3 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

3 years ago

Read 2 more answers

Simplify<br> 5 x 52<br> leaving your answer in index form.

lions [1.4K]

Step-by-step explanation:

$52 \times 5 = 260$

$so \\ 260 = 26 ^{10}$

hope this was useful

7 0

2 years ago

Read 2 more answers

What equation passes through the point (4,3) and is perpendicular to the y-axis

Ksju [112]

Answer:

y=3

Step-by-step explanation:

perpendicular line to Y-axis passing through any point (m,n) is of the form

y=n

so the answer is

y=3

8 0

3 years ago