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sleet_krkn [62]
4 years ago
11

Each equation with the quadratic formula! Show your work ! I will give you brainest answer

Mathematics
1 answer:
AysviL [449]4 years ago
4 0
See picture below for the work shown

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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
Arrange the following in increasing order 14.204 14.200 14.240 14.210
rjkz [21]
14.200
14.204
14.210
14.240

4 0
3 years ago
Read 2 more answers
(look at the image) can i get help with these 2 questions?
Oduvanchick [21]
18. 105=2x-11 so 105+105=210 and all four angels equal 360 so 360-210=150 so 150/2=75

19. 6x+19+x =180
X=23
So AEB:75 BEC:123 CED:75 AED:23
Please give brainliest it took for ever
5 0
3 years ago
PLS ANSWER FAST I WILL MARK THE BEST ONE BRAINLIEST PLS
Fudgin [204]

Answer:

E

Step-by-step explanation:

if we decidedly factor this expression-

4x^2+4xy+y^2

= (2x)^2 + 2*2xy + y^2

= (2x + y)^2

as you can see it is a perfect square so it can be grouped into (2x+y)^2

hence your solution is option e

8 0
3 years ago
Read 2 more answers
A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x
Free_Kalibri [48]

Answer:

c

Step-by-step explanation:

if y is equal to the amount of milk and 6000 gallons are made an hour then you have to multiply the amount of hours(x) by the 6000 gallons of milk made in 1 hour so y=6000x

4 0
4 years ago
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