Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).

Answers

Answer 1

Answer:

-3 and -2

Step-by-step explanation:

7x² + 19x + 21 = 4x² + 4x + 3

combine like terms:

3x² + 15x + 18 = 0

3(x² + 5x + 6) = 0

(x + 3)(x + 2) = 0

x = -3

x = -2


Related Questions

What is the mean of the set of data? 18, 11, 16, 8, 16, 21 plz help

Answers

The mean of the data is 15 all you gotta do is add all the number up and divide by the numbers added

Which expression has a value of -8?
A 14 + 2(−5) − (3)(9)
B (10 ÷ 5) − (2 ∙ 4) − 5 + 8
C −4 − 5 − 1 − 2(4) + 10
D 12 − 2(4) + (5 − 2) − 33

Answers

i believe it would be c. -4-5-1-2(4)+10

explanation:

simplify 2 x 4 to 8
-4-5-1-8+10

simplify -4-5 to -9
-9-1-8+10

simplify -9-1 to -10
-10-8+10

simplify -10-8 to -18
-18+10

simplify
-8

HELP PLEASE QUICKLY!!
O and OP are given with centers (-2, 7) and (12, -1) and radii of lengths 5 and 12, respectively. Using similarity transformations on O, prove that O and OP are similar. (2 points)

Answers

Answer:

they are reciprecants of eachother

What is the surface area?

Someone please help

Answers

Answer:

134 square inches

Step-by-step explanation:

To find surface area, you must find the individual area of each face of the shape. There are 6 faces on every cube or other rectangular prism, so you must perform 3 equations, as every face has an identical face on the opposite side. The formula for regular area is Length (l) times Width (w).

Large sides on front and back: 8x6=48

Slim sides to the right and left: 1x6=6

Slim sides on top and bottom: 8x1=8

Then combine:

48+48+6+6+8+8=134

The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?

Answers

Answer:

[tex]m(c(a)) = 4.8875a[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops

[tex]m(c) = 1.15c[/tex] --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

[tex]c(a) = 4.25a[/tex]

[tex]m(c) = 1.15c[/tex]

[tex]m(c) = 1.15c[/tex] can be written as:

[tex]m(c(a)) = 1.15*c(a)[/tex]

Substitute: [tex]c(a) = 4.25a[/tex]

[tex]m(c(a)) = 1.15*4.25a[/tex]

[tex]m(c(a)) = 4.8875a[/tex]

Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]

What is the VALUE OF X PLS HELPP

Answers

Answer: I think it would be 285.

Step-by-step explanation:

A circle is 360* so I did 360-75. Hope this helps!!!

If You show all your work in these problems i will love you and give you brainliest

Answers

photo is not upload :(
can you try again

Michael returned a bag of cans and received $4.65 back. If the deposit for each can was $0.05, how many cans did he return? (how did you get it?)

Answers

Answer:

~50 bottles

Step-by-step explanation:

hope this helps

Answer:93

Step-by-step explanation:

$78 is what % of $120?

Answers

Answer:

Step-by-step explanation:

Step one you make the a SSUMPTION that 120 is 100% since it is your output value, step to you next represent the value you seek with X yes, step three form step one, it follows that hundred percent equals 120, step four in the same VEIN, X percent equals 78, step five it gives you a pair of simple equations like 100% equals 120 (1)
X percent equals 78(2)
And step six you simply divide equation one by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the saying unit( percentage)
Therefore, 78 is 65% of 120

I hope this really helps...

What is the graph of one cycle of a sine curve with amplitude 5, period pi, and a>0?

What is an equation for the sine curve in the form y=asinb0?

a. y=2sin50
b. y=5sinpi0
c. y=5sin20
d. y=5sin1/2 0

Answers

Answer:

c is correct

Step-by-step explanation:

if u have the equation y = a sin b (x),

a is the amplitue (regardless of + or - before it) and 2pi / b = period. so we can deduce that a = +5 or -5 and b = 2, but then it says a>0, so therefore a must be 5 and b is still 2, so the equation is y= 5 sin2(O)

pls help help help help help ​

Answers

Answer:

y = -2

Step-by-step explanation:

When the input (x) is -5, we just look at where (-5) is on the x axis and see where the line is for the y-coordinate.

The line is at -2

Which of the following statements is true? Select all that apply.

To find the diameter of a circle, divide its circumference by π or 3.14.
To find the diameter of a circle, divide its circumference by pi or 3.14.

The radius of a circle is twice its diameter.
The radius of a circle is twice its diameter.

The circumference of a circle is greater than its diameter.
The circumference of a circle is greater than its diameter.

The diameter of a circle is twice its radius.
The diameter of a circle is twice its radius.

The circumference of a circle is twice its radius.

Answers

Answer:

the answer is the 1st one

Is this correct?? Please dont mine the little notes I took when solving it..

A= 12, base= 16

Area= (1/2)(12)(16) = 96

384+96 =480

Semi Circle should be something like =(1/2) pir^2

diameter= hypotenuse= sqrt(12^2 +16^2) = 20

radius= r= d/2= 20/2

Semi Circle= (1/2) pi 10^2= 50pi= 157.0796327

Total = 480+157.0796327=637.0796327. Rounding to the nearest hundred would give me 637.08??

Answers

Answer and Step-by-step explanation:

Yes, all of your calculations are correct!!

The area of one rectangle is 192, and since there are 2 rectangles, we multiply 192 by 2, which results in 384.

The area of a triangle is [tex]A = \frac{(Height)(Base)}{2}[/tex], which you got to be 96.

The Semi Circle would have half of the area of a circle, so you are correct when you multiply the equation by [tex]\frac{1}{2}[/tex].

To find that diameter, we need to use the Pythagorean Theorem.

[tex]12^{2} + 16^{2} = d^{2} \\\\144 + 256 = d^{2} \\\\400 = d^2\\\\d = 20[/tex]

So the diameter is 20, and the radius is 10 (20 divided by 2 = radius).

Plug that into the equation, and you get the answer to be [tex]50\pi[/tex], or 157.0796327.

157.0796327 + 384 + 96 = 637.08 (rounded to the nearest hundredth).

Good job!

#teamtrees #PAW (Plant And Water)

In circle O below AB is a diameter and m

Answers

The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°

Pls help?!?!? With this

Answers

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

Is this graph considered linear, non-linear, or something else?

Answers

Answer:

Linear! check the picture below.

Step-by-step explanation:

(the left is linear, the right is non)

what is the area of a circle with a diameter of 18.2 cm?

use 3.14 for TT and round your final answer to the nearest hundredth.

the area is ___ square cm.​

Answers

Answer:

The area is 260.16 square cm.

Formula:

A=πr2

d=2r

A=1

4πd2=1

4·π·18.22≈260.15529

Martin recorded the low temperatures at his house for one week. The temperatures are shown below -7, -3, four, one, -2, -8, seven approximately what was the average low temperature for the week?

Answers

5,28-(x4-3,,,,,,,,,,,,,,,,,

no links or files or ima report you and i mean it

Answers

Answer: Links and files

The data set below has 6 values.
Find the mean absolute deviation for the data set.
8, 16, 15, 7, 18, 14

Answers

I got s= 4.472136 or 4.47

The function f(x) = |x| is shifted to the left 3 units and down 2 units to make the function g(x) . Write the equation g(x) that illustrates this change.

Answers

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

Myrna is bought fresh flowers for her Mom’s birthday. She had $25 with her. The flowers were on a 10% sale. How much did Myrna pay for the flowers?

Answers

Answer:

2 [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]\frac{25}{1} \\[/tex] × [tex]\frac{10}{100}[/tex] =  [tex]\frac{10}{4}[/tex] or

Simplified: [tex]\frac{5}{2}[/tex]

2 whole number [tex]\frac{1}{2}[/tex]

Add (5x3+7x−8)+(2x3−5x2−x+3).

Answers

Use one of the algebra calculators

7th grade Math help please :)

Answers

Answer:

false

true

true

true

true

false

true

false

false

answers r in order of pictures

Step-by-step explanation:

EMERGENCY!!!! Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answers I got were 384 and 64 and they were both wrong)

Answers

Answer:

After eight hours 6,561 people will know the rumor.

Step-by-step explanation:

Since each hour, every person who knows a rumor tells two other people, so that if one person starts the rumor, then after the first hour, three people know the rumor, and the next hour, those three people each tell two more people, to determine after eight hours, how many people will know the rumor, the following calculation must be performed:

Hour 0 = 1

Hour 1 = 1 + 2 = 3

Hour 2 = 3 + 2 x 3 = 9

Hour 3 = 9 + 2 x 9 = 27

Hour 4 = 27 + 2 x 27 = 81

Hour 5 = 81 + 2 x 81 = 243

Hour 6 = 243 + 2 x 243 = 729

Hour 7 = 729 + 2 x 729 = 2,187

Hour 8 = 2,187 + 2 x 2,187 = 6,561

Therefore, after eight hours 6,561 people will know the rumor.

which expression is equivalent to
-2(x+4) -(3x+8)?
A) 5x+16
B) 5x-16
C) -5x+16
D) -5x-16

Answers

Answer:

D

Step-by-step explanation:

-2x - 8 - 3x - 8

= - 5x - 16

You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
T=7
units?
Show Calculator

Answers

Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

= 22 ÷ 7 × (7²)

= 22 ÷ 7 × 49

= 3.14 × 49

= 153.8 cm/ m

help me, please a b c or d

Answers

Answer: B

Step-by-step explanation: ;)

the base of a triangle is 18 in. the height is 10 in. what is the area of this triangle

Answers

Answer:

90 in²

Step-by-step explanation:

Formula for a triangle is bh/2

b = 18

h = 10

[tex] \frac{18 \times 10}{2} = 90[/tex]

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

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