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2 years ago

Please help! Thank you!

Mathematics

1 answer:

Schach [20]2 years ago

8 0

Answer:

$\huge \boxed{ \boxed{ \sf \: y = x + 15}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know:</h3>

linear equation
linear equation word problems
PEMDAS

<h3>tips and formulas:</h3>

linear equation:y=mx+b

<h3>let's solve:</h3>

all we need to care about the middle condition which is

<h3>the new test score is 15 points more than the original score</h3>

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

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Find the TWO integers whos product is -12 and whose sum is 1<br>m

svetoff [14.1K]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3.

5 0

2 years ago

Read 2 more answers

In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

2 years ago

Find the area of the polygon

Evgesh-ka [11]

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2

3 0

1 year ago

Find x and the measure of each side.

Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

GH=60

HF= x+20 =27.5+20

HF=47.5

5 0

10 months ago

1. A function has a second rate of change of -4. Does the function have a maximum or a minimum?

Aloiza [94]

This function would have a maximum.

Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.

8 0

2 years ago