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
charle [14.2K]
3 years ago
12

Which of the following tables shows the correct steps to transform x2 + 6x + 8 = 0 into the form (x − p)2 = q? [p and q are inte

gers] (5 points)
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0
X^2+6x+8=0
To write the above in the form of (x-p)^2=q we proceed as follows:
i] Re-write the expression:
x^2+6x=-8
ii] Calculate for the vale of c.
c=(b/2a)²
given that:
b=6, and a=1
thus
c=(6/2*1)^2=9


iii]
Add 9 on both sides of the equation from i
x^2+6x+9=-8+9
simplifying we get:
x^2+6x+9=1
factoring the LHS we get:
(x+3)(x+3)=1
(x+3)²=1
The above is in the form of:
(x-p)²=q
where:
p=3 and q=1
You might be interested in
Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at
Katena32 [7]

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

7 0
2 years ago
Read 2 more answers
Write 605.8 correct to the nearest 10
kvv77 [185]
Rounding to the nearest 10 means if the digit to the right of the 10s collum is 5 or more round up. if less than 5 round down.
605.8
610 is the answer as 5 is rounded up
6 0
3 years ago
If the graph of the function f defined by f(x)= −2x^2+1 is translated vertically downward by 3 units, it becomes the graph of a
Katena32 [7]

Answer:

  h(x) = -2x^2 -2

Step-by-step explanation:

You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).

The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...

  (x, f(x) -3)

You want to name this (x, h(x)), so we have ...

  h(x) = f(x) -3

  h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)

  h(x) = -2x^2 -2 . . . . . simplify

7 0
3 years ago
half of an orange juice mixture is orange concentrate. explain why the ratio of orange concentrate to water 1:1
mars1129 [50]

Answer:

Please read below

Step-by-step explanation:

We are told that 1/2 of the orange juice is concentrate

So 50% is concentrate

100 - 50 = 50

This leaves another 50% to be water
50:50 is the same as 1:1

6 0
1 year ago
Randy buys gas at a store that charges $3 per gallon. Sarah buys gas at a different store. The table shown here gives the cost w
Licemer1 [7]
Where is the table? Because I can't answer with out one
6 0
3 years ago
Other questions:
  • 34 less than the product of 26 and an unknown number is 18
    11·1 answer
  • Algebraic divide 24y - 4 by 2=
    11·2 answers
  • At a pizza shop, 80% of the customers order a pizza, 15% of the customers
    13·1 answer
  • P.7 Is an even number or Q: 3 is square root of 10 ( P v Q )<br>answer asap please
    11·1 answer
  • Help please, I don't understand!!! D:
    12·2 answers
  • 2x=10y Determine the constant of proportionality. Assume that y represents all of the outputs and x represents the inputs
    13·1 answer
  • What is the following product?<br> 3/24 • 3/45
    11·2 answers
  • Whats the first step in evaluating this expression? <br><br> 3 x [9 - (4+2) ÷ 2]
    5·1 answer
  • Multiply. 25.5 × 5.46
    6·2 answers
  • Nine more than the quotient of 2 and a number of x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!