Use substitution to write an equivalent quadratic equation.
(3x + 2)2 + 7(3x + 2) - 8 = 0
DONE

Answers

Answer 1

Answer:

  z^2 +7z -8 = 0

Step-by-step explanation:

Let z = 3x+2. Then we can substitute z wherever we see 3x+2.

  z^2 +7z -8 = 0 . . . . equivalent quadratic

__

This is easily factored to ...

  (z -1)(z +8) = 0

So, the original quadratic has solutions ...

  (3x +2) -1 = 0

  x = -1/3

and

  (3x +2) +8 = 0

  x = -10/3


Related Questions

What is the y-intercept of this quadratic function?
f(1) = -12 + 101 - 22

Answers

do you mean -12x^2 + 101x - 22 ? if so, the y intercept is -22

this may look a lot but I need the help ASAP (in picture)

Answers

Answer:

13. >  14.  <  15. 367 to the 4th power  16. 3 to the -6

Step-by-step explanation:

What is the slope of the line 12x+4y=7

Answers

Answer:

Slope is -3

Good Luck!!!

Answer:

Slope = -3

Step-by-step explanation:

First let's convert Standard Form to Slope-Intercept Form.

Slope intercept form is y = mx + b.

Let's start converting now!

[tex]12x + 4y = 7[/tex]

[tex]4y = -12x + 7[/tex]

[tex]y = -\frac{12}{4}x + \frac{7}{4}[/tex]

[tex]y = -3x + \frac{7}{4}[/tex].

The -3 represents the slope (m).

Therefore, the slope is -3.

Apples cost $0.79 per pound. What is the cost of 5.3 lb of apples set up as a conversion?

Answers

Answer:

the answer is 4.187

Step-by-step explanation:

you have to multiply the .79 times 5.3

HELP ME PLZ ILL GIVE U EXTRA POINTS

Answers

Answer:

10 32 -9

10 -13 18

-9 -8 11

hope this helps

what is the rule for the given sequence and give the next two terms in the sequence?.
2, 5, 17, 65, 257

Answers

Answer:

Step-by-step explanation:

2,5,17,65,257.......

1^2 + 1, 2^2 + 1, 4^2 + 1, 8^2 + 1, 16^2 + 1.............

This series follow above sequences.

So next term of this series,

= 32^2 + 1

= 1024 + 1

= 1025.

Hope it's helpful to u.

Write the formula for the volume of a cone V = Tr’h in terms of h to find
the height h of a cone with volume V = 327 cm and radius r = 4 cm.

Answers

Answer:h = v/tr

Step-by-step explanation:

Using the exchange rate £1 = $1.31, calculate how many £ are in $12.15. Give your answer rounded to 2 dp

Answers

12.15/1.31 = 9.27 (2 d.p.)

Answer:

10 euros

Step-by-step explanation:

1 euro=$1.31 so you take 1.31 and multiply by 9 to get 11.79 which is too low even after rounding, but if you multiply by 10 you will get 13.1, you will have too much even after rounding down but you would get change

What is the answer? I’m new here so please answer it?

Answers

Answer:

$258 I think

Step-by-step Explanation:

Someone please help I don’t know if my answer is correct ;-;

Answers

Answer:

I think you are

Step-by-step explanation:

helppppppppppp:/ dujdjd

Answers

Answer:

3

Step-by-step explanation:

y=2/2

y=1

1+?=4

1+3=4

Janet bought g number of packs of gum. Each pack of
gum costs $0.79. Write an expression that shows how
much change she will get back from paying with a $20
bill.
USE g FOR THE VARIABLE

Answers

Answer:

f(g)=20-0.79*(g)

Step-by-step explanation:

The change will receive depends on the money given subtract to the variable multiply by the price per gum package.

Solve each equation mentally

Answers

Answer:

1. x=7

2. x=11

3. x=0.2

Step-by-step explanation:

Write – 0.425 as a fraction in simplest form.

Answers

Hi there!

This should be easy,lol!

Answer:

[tex]\boxed{-\frac{17}{40} }[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator.

Then

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

And then....

Find the Greatest Common Factor (GCF) of 425 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25.

Therefore x = -17/40

In conclusion, – 0.425 = -17/40

Have a great day/night!

In Greg's hat, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow token is equivalent to $3$ green tokens. Greg converts all of his tokens to green tokens. How many green tokens does he have?

Answers

Answer:

20 greens

Step-by-step explanation:

2 (7) = 14

1 (3) = 3

14 + 3 + 3 = 20 greens

Answer: it is 48 not 20

Step-by-step explanation:

what fraction is not equivalent 7/8 ?
21/24
35/40
15/16
28/32

Answers

Answer:

15/16

Step-by-step explanation:

because 21/24 reduces to 7/8

35/40 reduces to 7/8

15/16 doesn't reduce to anything so it stays 15/16

28/32 reduces to 7/8

Therefore your answer is 15/16

Hope this helps

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

I think the slope is -3

In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Which of the equations below are equivalent to the formula PV = nRT? Select all that apply.

Answers

The question is incomplete, the complete question is;

In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Which of the equations below are equivalent to the formula PV = nRT? Select all that apply. A. P = VnRT B. V = nRT/P C. n = PV/RT D. R = PVnT E. T = nR/PV

Answer:

B. V = nRT/P

n = PV/RT

Step-by-step explanation:

The equation PV=nRT is called the ideal gas equation. If we make V the subject of the formula, then we have; V = nRT/P

Similarly, if we make n the subject of the formula we have n = PV/RT.

These two equations are equivalent to the original equation PV=nRT

Answer:

Step-by-step explanation:

Math Reasoning
What is
9+9= 3^2 + 7 *9-9 = ?

Answers

Answer:

9=54

Step-by-step explanation:

9+9=9+63-9

9=63-9

9=54

What’s 90 divided by four and a half?

Answers

Answer:

20, hope this helps!

Step-by-step explanation:

90 divided by 4 1/2 is 20

Need help here! ( Thank You )!

Answers

Answer: 1st box

Step-by-step explanation:

It’s at its safest atm

Im stuckk can anyone help me :) thank you so much if you do so <3

Answers

Answer:

y= 1/2x+2

Step-by-step explanation:

First we need to find the slope

Pick two points on the line

(0,2) and (2,3)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-2)/(2-0)

    = 1/2

We have the y intercept = 2

Then using the slope intercept

y = mx+b where m is the slope and b is the y intercept

y= 1/2x+2

I NEED HELPP
Find the measure of angle A.

Answers

Answer:

2x-9

Step-by-step explanation:

Answer: ∠A = 65°

Step-by-step explanation:

All angles in a triangle add up to 180°.

Firstly, you need to solve for x.

Set all angles equal to 180°:

2x - 9 + 2x + 4 + x = 180

Combine like terms:

5x - 5 = 180

Add 5 to both sides:

5x = 185

Divide both sides by 5:

x = 37

Now, plug x into angle A:

∠A = 2(37) - 9

∠A = 74 - 9

∠A = 65°

Hope this helps!

The ratio of two numbers is 3:5. If the
antecedent is 24, find the consequent​

Answers

answer : 24:40


step by step explanation:

What are the roots of the equation 4x^2 - 100 = 0

Answers

Answer:

Option c. -5 and 5 are the roots of the equation

answers -5 and 5 are roots

Determine the 15th term of the sequence 3, 6, 12,...

Answers

The answer is 49,152.

You double the numbers as you go, it goes up to 49,152.

Two landscapers must mow a rectangular lawn that measures 95 feet by 170 feet. Each wants to mow no more than half of the lawn. The first starts by mowing around the outside of the lawn. The mower has a 24-inch cut. How wide a strip must the first landscaper mow on each of the four sides in order to mow no more than half of the lawn? (Round your answer to three decimal places.) Approximate the required number of trips around the lawn the first landscaper must take. (Round your answer to one decimal place.)

Answers

Let w is the width of the strip mowed by the outer mower as shown in the figure. So, the area mowed by the outer mower is the area of the shaded region.

Each wants to mow no more than half of the lawn, so, both have to mow exactly half of the area of the lawn.

The length of the rectangular lawn, [tex]l=170[/tex] feet

and the width, [tex]b=95[/tex] feet.

The dimensions [tex]( l'\times b')[/tex] of the area left to the other mower are

[tex]l'=170-2w[/tex] and [tex]b'=95-2w[/tex].

As. both most have to mow half of the lawn, so

[tex](170-2w)\times(95-2w)=\frac{170\times95}{2}[/tex]

[tex]\Rightarrow 4w^2-530w+8075=0[/tex]

[tex]\Rightarrow w=17.5641, 114.9358[/tex]

Ignoring the higher value as w cant be more than the dimension of the lawn.

So, the required width of the strip

w=17.564 feet (rounded up to three decimal places)

As the outer mower has a 24-inch cut, so in 1st trip, he cuts the 24-inch or 2 feet of required width.

So, the number of the required trip is

[tex]\frac{17.564}{2}=8.782[/tex]

=8.8 (rounded up to one decimal place)

Your restaurant bill is $26. You want to leave a 15% tip. How much is a 15% tip?

Answers

Answer:

$3.90

Step-by-step explanation:

There you go pal.

Answer:

you tip would be 3.90$

Step-by-step explanation:

Simplify -(5-4x) using distributive property

Answers

Answer:

-5 + 4x

Step-by-step explanation:

-(5-4x)

Distribute the negative sign to each term in the parentheses

-5 -  -4x

-5 + 4x

Answer:

[tex]\huge\boxed{\sf{-5+4x}}[/tex]

Step-by-step explanation:

Hello.

First, think of the minus sign as being -1.

Now, multiply -1 times 5 and -4x.

-1 times 5 is -5

-1 times -4x is 4x

Put them together:

-5+4x (this expression can't be simplified anymore, because -5 and 4x aren't like terms)

And we're done!
I hope it helps & have an outstanding day!

~ST2710 :)

Given that, p(x)= 12x
2 + 12x
3 + 2x then find the value of p(-2)

Answers

p(x) = 12x
p(-2) = 12(-2)
p(-2) = -24

2 + 12x
2 + 12(-2)
2 - 24
-22

3 + 2x
3 + 2(-2)
3 - 4
-1
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