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shtirl [24]
3 years ago
7

-2

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

-104

вот правильный ответ

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The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
3 years ago
The tire on Frank's bike moves 75 inches in every rotation. How many rotations will the tire make after Frank rides 50 feet?
4vir4ik [10]
Set up a proportion:

First convert 75 inches to feet.

75 in = 6.25 ft

1/6.25 = x/50

Multiply 50 to both sides:

50 * 1/6.25 = x

50/6.25 = x

x = 8

So the tire will rotate 8 times after Frank rides 50 feet.
5 0
3 years ago
Read 2 more answers
I need help plsss idk how to do this​
Step2247 [10]

Answer:

(1) . -11

Step-by-step explanation:

f(-2)=-3(-2)^2+

-12+1=-11

5 0
3 years ago
Find the percent of change. 72 to 63
gavmur [86]
It should be 67.5. But I'm not 100% sure, so don't take my word.
8 0
4 years ago
Read 2 more answers
Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
Oksi-84 [34.3K]
Gradient=rise/run=y2-y1/x2-x1

= 7-3(4)/-4--4(0)

As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis
3 0
3 years ago
Read 2 more answers
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