for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​

Answers

Answer 1

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.


Related Questions

Suppose you save 10% of your annual income for retirement and deposit this amount into an investment account monthly. If your annual income is $39,000, how much are you investing each month?

Answers

Answer:

$3250

Step-by-step explanation:

10% of 32500 = 3250

3250 x 12 months = $39,000

Answer:

325  i just did a test and this is the answer

Step-by-step explanation:

Your monthly income is your annual income divided by 12:

= $3,250.

You are investing 10% of $3,250.

Convert 10% to decimal form:

10% = 0.10.

$3,250 × 0.10 = $325

If y varies inversely as x and y=7 when x=−4, find y when x=2.

Equation: ________

Solution: y = _____________

Answers

Answer:

Explanation:

The statement is expressed as

y

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

k

=

4

×

8

=

32

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

32

x

2

2

−−−−−−−−−−−−

x

=

16

y

=

32

16

y

=

2

when

x

=

16

The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?

Answers

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

F(x) = -3(x + 3)^2 + 3

Hence, The function F(x) = -3(x + 3)^2 + 3.

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what is an example of a dealer incentives​

Answers

Answer:

a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.

Step-by-step explanation:

 

what is the y intercept of the line that has a slope of 4 and goes through the point (-3,12)

Answers

Answer:

the y-intercept would be 24

Step-by-step explanation:

hope this helps! :D

Which equation is equivalent to X +8 is equal to 21

Answers

Answer:

an equation is equivalent to x+8=21 is 13

Step-by-step explanation:

21-8 would equal 13 that how you find the missing variable

REE PLEASE HELP ASAP!!!!!
A circle is graphed on a coordinate grid. Its center is at (3, 4), and the circle passes through point (3, 1). What is the approximate area, in square units, of the circle? (Use 3.14 for π.)
Which answer choice is correct?
18.84 square units


28.26 square units


31.40 square units


56.52 square units

Answers

the last one i think

Which graph shows the solution to the inequality -2x+10>20

Answers

Answer:

+20 bc 2x10= 20 so +20>20

Dequan is training for a marathon. He runs 20 miles every 4 days. What is the unit rate for Dequan?

Answers

Answer:

Dequan walks 5 miles per day.

Step-by-step explanation:

So solve this problem, we just need to divide 20 miles by 4 days.

20 ÷ 4 = 5

Therefore, Dequan walks 5 miles per day.

Hope this helps! :D

80
Explanation: Because 20 miles x 4 days is equal to 80

help me please I need helped Answering this questions

Answers

Answer: 129 m^2

Step-by-step explanation

Answer: 129 m^2

Step-by-step explanation:

the width of a rectangle is 3/4 length. The perimeter is 252 cm. What is the width of the rectangle?

Answers

“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“

A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person

Answers

Answer:

1.14285714286 ounces per person

Step-by-step explaination:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

following this rule, 8 divided by 7 is 1.14285714286

Your assignment will probably ask you to simplify

PLZ ANSWER WILL MARK BRAINLIEST​

Answers

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer - side side side

answer please I’ll mark you brainlist answer

Answers

Answer:

6 lb = 2721.552 g

Step-by-step explanation:

1 lb = 453.592 g

6lb = 453.592 g × 6 = 2721.552 g

(-11,-3),(-6,7) find the slope of the line using slope formula? NEED

Answers

Answer:

Your slope will be 2

Step-by-step explanation:

[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2

how much of an 18% salt water mixture should be added to a 15 gallon 2% salt water mixture to achieve a 7% salt water mixture?

Answers

If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.

The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.

The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that

(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07

Solve for x :

0.3 + 0.18x = 0.07 (15 + x)

0.3 + 0.18x = 1.05 + 0.07x

0.11x = 0.75

x = 0.75 / 0.11 ≈ 6.82 gal

A reading teacher brought sets of different numbers of books for her class. She paid the same price for each book

Complete the table to show the number of books she bought or the price she paid
(Put your answers in the Order of a,b,c)

Answers

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

Is a²b the same thing as ba² ?

Please explain. Thanks so much!

Answers

a²b is the same thing as ba²

b and a are two separate variables lets pretend a is 2 and b is 3

2² * 3 = 4 * 3 = 12

3 * 2² = 3 * 4 = 12

this is the commutative property of multiplication

An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.

Therefore, the two expressions are expanded as shown below,

a²b = a × a × b

ba² = b × a × a

Therefore, the two of the given expressions a²b and ba² are the same.

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A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof slopes, correct to the nearest mm

Answers

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

simplify or solve the problem
2 ( 2x - 7 ) = - 34

Answers

Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

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Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. What is the total number of centimeters Omar and Paula ran?

Answers

Answer:

325000 + 420000 = 745000

Step-by-step explanation:

They ran 745000 centimeters all together

I need help on this math question plis ​

Answers

Answer:

9/12 + 1/4 = 12/12 or 1

so the answer is A

Step-by-step explanation:

find the surface area and lateral surface area of the cylinder : radius: 3yd height 6yd

Answers

Answer:

Step-by-step explanation:

lateral area=πr²h=π×3²×6=54π sq. yards

surface area=2πr²+πr²h=2π×3²+54π=18π+54π=72π sq. yards

Which sign makes this number sentence true? 560 – 39 [ ] 275 x 2

Answers

Answer:

560-39<275*2

Step-by-step explanation:

560-39=521

275*2=550

521<550

Answer:

<

Step-by-step explanation:

560 - 39 [ ] 275 × 2

We can evaluate the expressions first before deciding which sign to use.

521 [ ] 550

As you can see, the left side of the equation is smaller than the right side of the equation, so the sign should be <.

521 < 550

521 is smaller than 550.

Other signs and meanings:

> means the left side is bigger than the right side of the equation.

≤ means the left side is smaller than or equal to the right side of the equation.

≥ means the left side is bigger than or equal to the right side of the equation.


A four-person committee is needed to study the ways of improvong piblic
transportation. How many committees could be formed from ten people on the
board of supervisiors?

Answers

Answer:

jhgjihSd

Step-by-step explanation:

Answer:

two committees because 4 is in each

need help plz thanks​ for the help

Answers

Answer:

m<C = 66°

Step-by-step explanation:

Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:

(5x + 9)° = (7x + 3)°

Solve for x

5x + 9 = 7x + 3

Collect like terms

5x - 7x = -9 + 3

-2x = -6

Divide both sides by -2

x = 3

✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)

m<C + 90° + (7x + 3)° = 180 (substitution)

Plug in the value of x and solve

m<C + 90 + 7(3) + 3 = 180

m<C + 90 + 21 + 3 = 180

m<C + 114 = 180

m<C = 180 - 114 (Subtraction property of equality)

m<C = 66°

Offering Brainliest, a 5 star review, and a like on your answer, Please help.

Answers

Answer:

I'm pretty sure it's 1,1.

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

sub to pewdiepie

283.65 + 85.3 =?

Find the sum?

Answers

Answer:

368.95

Step-by-step explanation:

Line up the decimal places to add the numbers:

  283.65

+   85.3

—————

85.3 is the same as 85.30:

  1

  283.65

+   85.30

—————

  368.95

Answer: 368.95

Hope this helps! :)

Answer:

198.35

Step-by-step explanation:

283.65

085.3

_______________

198.35

Quick need help for this question

Answers

It’s c I did this in my class

how to graph y = x^2+3

Answers

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

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