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1 year ago

Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)

Mathematics

1 answer:

crimeas [40]1 year ago

8 0

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

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Geometry please help!

o-na [289]

Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.

In conclusion, x = 3.

6 0

1 year ago

How do I find these angle measures?

ch4aika [34]

The measure of angle 1 is 75 degrees because it is a corresponding angle with the one given of 75 degrees
the measure of angle 2 is 105 degrees because it forms a supplementary angle with the one next to it that is 75 degrees. (this means they add up to 180 degrees.

6 0

2 years ago

Read 2 more answers

Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that

atroni [7]

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85$

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5$

btw he's not making much either way.

7 0

1 year ago

What is the answer? <br>x+y=15 <br>-2x+5y=-2

zavuch27 [327]

Multiply the first equation by 2

2x + 2y =30

now we’ll add the second equation to the first equation

2x + 2y =30
-2x+5y= -2

7y=28

divide by 7

y=4

now plug y back into the first equation

x + 4 = 15

subtract 4

x=11

6 0

2 years ago

Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t

Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy $12\frac{1}{2}$ pounds beef for for a cookout.