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zavuch27 [327]
2 years ago
5

An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are s

hown below.
y = x + 15
y = −x + 8

Which of the following statements is a correct step to find x and y?

Multiply the equations to eliminate y.
Add the equations to eliminate x.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Mathematics
2 answers:
melomori [17]2 years ago
6 0
Add the equations to eliminate x
charle [14.2K]2 years ago
5 0

Answer:

the answer is B. add all the equations to eliminate x. its true. i did the test and  i defiantly got it right.    (brainliest would b appreciated)

Step-by-step explanation:

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PLEASE HELP I DONT UNDERSTAND
Charra [1.4K]

Example Question:

X²+6x-14=0

Quadratic equations are usually in the form Ax²+Bx=C. Completing the Square is a technique for rewriting this equation in the form (x+a²)+b.

The example I provided is in standard form.

Here's what I did:

Step 1: Move the "C" to the other side (in this case it's negative 14, so you add 14 to both sides of the equation to move it).

Step 2: Leave a blank after Ax²+Bx. In this case, it'll look like: X²+6x+_____= 14.

Step 3: Use the box to find the missing "C". Idk if you can see the photo after the 1st one, but I circled the spaces in green. Those spaces indicate 2 factors that add up for B (in this case, 6). Those same factors will eventually multiply each other to get 9.

Step 4: Give the new "C" to both sides of the equation. What this means is that after you multiply the factors on the outside of the box, you put the number on both sides. The 3rd picture I drew is the process of finding the outer factors (by plugging in 3x to the spaces that were circled).

If you can't see it, it's (X+3)•(X+3).

The 4th picture is me plugging the new "C" (9) to both sides of the equation. 3 times 3 is 9. You multiply the 3's on the outside to get the factors on the inside.

Step 5: Use Step 3 box to write (perfect square)² of left hand side.

What this means is that you take the factors on the outside and rewrite it in perfect square form. like shown in picture 5. If you can't see it, it's like this:

(X+3)•(X+3) turns to (X+3)²=23.

The 23 was from adding 14+9 together.

So the final Answer would be:

(X+3)²=23.

8 0
2 years ago
B) y = log2 (4" - 4)<br> find the inverse of this equation
GuDViN [60]

Answer:

y =  \frac{1}{4}  \times  {2}^{x}  - 1

Step-by-step explanation:

Assuming the given logarithmic equation is

y =   \log_{2}( {4}{x }  - 4)

We interchange x and y to get:

x=   \log_{2}( {4}{y} - 4)

We solve for y now:

{2}^{x}  =  {4}{y}   - 4

We add 4 to both sides to get;

{2}^{x}  + 4 = 4y

Divide through by 4:

y =  \frac{1}{4}  \times  {2}^{x}  - 1

4 0
3 years ago
1 2 3 4 5 6 7 8 9 10
gayaneshka [121]

Answer:

The 8 should have remained positive.

Step-by-step explanation:

8-(-2)=8+2=10

Two negatives make a positive so 8-(-2) will turn into 8+2.

Laura was wrong because she thought the 8 turned to a negative but that makes no sense.

8 0
3 years ago
Exponent Laws - difference between product law and product raised to a power (with formula please)
enyata [817]

Answer:

Exponent laws:

1. Product law

x^{a}\times x^{b}\times x^{c}=x^{a+b+c}

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}

2.Product raised to a power

1. [x^{a}]^{c}=x^{ac}

2. [x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

[2^{3}]^{4}=2^{3\times4}=2^{12} and

[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}

[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}



7 0
2 years ago
Please help explanation if possible
Nookie1986 [14]

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=\frac{y2-y1}{x2-x1}

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

\frac{2-(--4)}{1-3}

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

5 0
2 years ago
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