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3 years ago

Blank divided by 12 equals 7 with a remainder of 1

Mathematics

1 answer:

Elodia [21]3 years ago

8 0

7x12=84, plus 1 equals 85.

85/12=7, remainder of 1.

The answer is 85.

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Given the equation y = -3x +1/2 , what is the y-intercept?

pychu [463]

y intercept = 1/2

<u>Step-by-step explanation:</u>

Step 1:

Formula y=mx+b in Slope Intercept form( whereas m= slope of the given equation, b= y intercept)

Step 2:

Comparing the given equation y = -3x + 1/2

we get m=-3(Slope) and y-intercept b=1/2

3 0

3 years ago

How to solve inequalities

sertanlavr [38]

Add or subtract numbers from both sides

4 0

3 years ago

Write a quadratic function for each graph described.

user100 [1]

Answer:

$y=2x^2-\frac{4}{3}x-\frac{10}{3}$

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

we can write the equation of the parabola as

$y=a(x+1)(x-\frac{5}{3})$

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

$40=a(5+1)(5-\frac{5}{3})$

$40=a(6)(\frac{10}{3})$

$40=20a\\a=2$

substitute

$y=2(x+1)(x-\frac{5}{3})$

apply distributive property

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

see the attached figure to better understand the problem

6 0

3 years ago

A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%