MATHEMATICS HIGH SCHOOL

Use the substitution method to solve the system of equations

3x+2y=13

y=x-1

Answers

Answer 1
Answer:

Answer:

x=3\ny=2

Step-by-step explanation:

3x+2y=13\ny=x-1

Solve for y=x-1 for y:

y=x-1

Substitute x-1 for y in 3x+2y=13:

3x+2y=13

3x+2(x-1)=13\n

5x-2=13

5x=13+2

5x=15

x=15/5

x=3

Substitute 3 for x in y=x-1:

y=x-1

y=(3)-1

y=2

x=3 and y=2

hope this helps...

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Which expressions have a value of 18? Choose all answers that are correct. A. –3 – 21 B. 7 – (–25) C. 34 – 16 D. –4 – (–22)

Answers

A) -3 - 21 = -24
B) 7 - (-25) = 32
C) 34 - 16 = 18
D) -4 - (-22) = 18

Answer: C and D
C. 34 - 16 = 18
and
D. -4 - (-22)
    -4 + 22 = 18

What is the largest factor of 16 that is also a perfect cube?

Answers

The largest factor of 16 that is also a perfect cube is 2. When you factor out 16, you will get 4 times 4 and then factor out 4, you will also get 2 times 2 times 2 times 2. Other factors for 16 is 8 times 2 which can be further divided into 2 times 2 times 2 times 2. When you factor out 8, you get 2 times 2 times 2 and so 2 is a perfect cube.

Find the sum: (3x2 + 5x − 8) + (5x2 − 13x − 5)8x2 + 8x − 13
8x2 − 8x + 13
8x2 − 8x − 13
8x2 − x − 13

Answers

the third one is true




good luck
(3x^2 + 5x − 8) + (5x^2 − 13x − 5)


      3x^2   + 5x − 8
+    5x^2 − 13x − 5
----------------------------
      8x^2   - 8x  - 13

The answer is choice C: 8x^2 − 8x − 13

What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for 2<=x<=4? If that makes any since

Answers

Answer:

The value for f(-4) in the piecewise function is -1

Step-by-step explanation:

As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.  

This value of x is within the interval:

-5<=x<=-2

Therefore we replaced in the corresponding expression:

f(x)=-x-5

f(-4)=-(-4)-5=-1

Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces.  The obtained result is only valid in the range for -5<=x<=-2.


We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1

Solve for x 4=(-8)+3x

Answers

Let's solve your equation step-by-step.4=−8+3xStep 1: Simplify both sides of the equation.4=3x−8Step 2: Flip the equation.3x−8=4Step 3: Add 8 to both sides.3x−8+8=4+83x=12Step 4: Divide both sides by 3.3x3=123x=4Answer:x=4
4=(-8)+3x
4+8=(-8+8)+3x
12=3x
12/3=4
X=4

Hope that helps!!

What is the slope that is perpendicular to the line 4x-6y=12?.?.

Answers

Answer:

It might be -2/3

I tried doing the way I did in school but also on ---- and got the same answer so sorry if it's wrong

Answer:

-3/2

Step-by-step explanation:

4x-6y=12

-6y=12-4x

6y=4x-12

y=2/3x-2

Slope= 2/3

Perpendicular Slope= -3/2

The perpendicular line's slope is the opposite reciprocal of the original slope, so you answer is -3/2.
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