1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mumz [18]
3 years ago
5

Solve the following equation. x^2 + 6x − 40 = 0

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

x = 4 and -10

Step-by-step explanation:

Given the equation

x²+6x-40= 0

The common factors to use for the factorisation are +10 and -4

x²+(10x-4x)-40=0

(x²+10x)-(4x-40) = 0

x(x+10)-4(x+10) = 0

(x-4)(x+10) = 0

x-4 =0 and x+10 = 0

x = 4 and x = -10

You might be interested in
What is 04.151515... into a fraction
Sergio039 [100]

Answer:

\displaystyle 4.\overline{15} = \frac{137}{33}.

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

4.151515\cdots = 4 + 0.151515\cdots

The most challenging task here is to express 0.151515\cdots as a proper fraction. Once that fraction is found, expressing the original number 4.151515\cdots will be as simple as rewriting a mixed number as an improper fraction.

Let x = 0.151515\cdots. (x + 4) would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in x are shifted to the left by two places, the repeating part will continue to match:

\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}.

Note, that this "shifting" is as simple as multiplying the initial number by 100 (same as 10 raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\  & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}.

In other words:

99\, x = 15.

\displaystyle x = \frac{15}{99} = \frac{5}{33}.

Therefore, the original number would be:

\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}.

4 0
3 years ago
What is the ratio for 4, 8, 12, 14 (r)
olasank [31]

answer for this question is 2 is to 4 is to6 is to 7

7 0
3 years ago
Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x
kumpel [21]

ANSWER

x=-2,y=-6

EXPLANATION

First equation:

y = x - 4

Second equation:

y = 4x + 2

Let us equate the two equations and solve for x.

This implies that;

4x + 2 = x - 4

Group similar terms to obtain:

4x - x =  - 4 - 2

Simplify:

3x =  - 6

Divide both sides by 3

x =  - 2

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

y =  - 2 - 4

This implies that,

y =  - 6

7 0
3 years ago
Read 2 more answers
Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.
kap26 [50]

Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.

Step-by-step explanation:

for a linear function y = a*x + b

Rate = coefficient that is multiplicating the variable. ( a in this case)

Initial value = value taken of y, when we have x = 0 (b in this case)

Specific value = value forced on y.

In this case, we have:

y = 6 = 2*x + 4

Then:

The coefficient multiplicating x is 2, so the rate is 2.

The constant term is 4, so the initial value is 4.

The value equal to y is 6, so the specific value is 6.

The correct option is B.

4 0
3 years ago
Find the value of x for which / || m
Tresset [83]

Answer:

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Hi what is the answer
    14·2 answers
  • A new family has moved in next door. You know the family has two children. What is the probability that both children are boys?
    13·1 answer
  • Will drawing an angle bisector always result in two acute angles?
    14·1 answer
  • What is the volume of the rectangular prism
    5·2 answers
  • Suppose you buy a car with a value of 12,500.Each year your car depreciates by 3.6%.How much will your car be worth in 5 years
    11·1 answer
  • 12x + 9 - 3x - 4. Please go fast!!!!
    13·2 answers
  • In a school, ſ of the students study a language.
    12·1 answer
  • Find the solution to -36 = -6b.<br><br> b = <br> PLEASE FAST
    7·2 answers
  • What is the perimeter of the parallelogram shown below?A.11 cmB.22 cmC.24 cmD.64 ​
    6·1 answer
  • For a project in her Geometry class, Chloe uses a mirror on the ground to measure
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!