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Anastasy [175]
1 year ago
5

Solve each system by substitution. y=3x+4 y=4x+7

Mathematics
1 answer:
Y_Kistochka [10]1 year ago
4 0

We need to solve the following system by substituition:

\begin{cases}y=3x+4 \\ y=4x+7\end{cases}

To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:

\begin{gathered} (3x+4)=4x+7 \\ 3x+4=4x+7 \\ 3x-4x=7-4 \\ -x=3 \\ x=-3 \end{gathered}

Then we need to replace the value of "x" in any of the two equations.

\begin{gathered} y=3\cdot(-3)+4 \\ y=-9+4 \\ y=-5 \end{gathered}

The solution is (-3,-5).

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If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?
V125BC [204]

Answer:

-x^2 +x

Step-by-step explanation:

f(x) = 1-x^2

g(x) = 1 - x

f(x) - g(x) = 1-x^2  - (1 - x )

Distribute the minus sign

              = 1-x^2 -1 +x

Combine like terms

             = -x^2 +x

6 0
4 years ago
Workout the circumstance of a circle with radius 9 cm take π to be 3.142 to 1 decimal place​
Goryan [66]

Answer:

C = 56.6 cm

Step-by-step explanation:

The circumference of a circle is

C = 2 * pi *r

C = 2 * 3.142 * 9

C =56.556

Rounded to 1 decimal place

C = 56.6 cm

5 0
3 years ago
PLEASE HELPP<br> ALL LINKS WILL BE REPORTED
Andrews [41]

Answer:

1436 in³

Step-by-step explanation:

volume of sphere = 4/3πr³ = 4/3(3.14)(7³) =1436 in³

4 0
3 years ago
Read 2 more answers
What is the greatest common factor or 21 and 84? explain what you did to get this.
dimaraw [331]
The greatest common factor (GCF) of 21 and 84 is 21.

The GCF is the largest number by which both numbers can be divided. Between 21 and 84, it is 21 because 21/21=1 and 84/21=4.
7 0
4 years ago
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Need help with finding the p point
Alexxandr [17]

If P is a midpoint of DE, then:

DP + PE = DE and DP = PE → 2DP = DE

We have:

DP = 3x + 2 and DE = 10x - 12

Substitute:

2(3x + 2) = 10x - 12     |use distributive property

(2)(3x) + (2)(2) = 10x - 12

6x + 4 = 10x - 12     |subtract 4 from both sides

6x = 10x - 16     |subtract 10x from both sides

-4x = -16    |divide both sides by (-4)

x = 4

Substitute the value of x to the equation DP = 3x + 2:

|DP = 3(4) + 2 = 12 + 2 = 14

Answer: DP = 14 units

5 0
3 years ago
Read 2 more answers
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