If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7.

Answers

Answer 1

Answer:

C is your answer.

Step-by-step explanation:

Hope is right, you're welcome, and good luck on your work.

please don't forget to click in the ❤, and on the ⭐.

Answer 2

The required solution for F(x) = -7 is x = -2.

F is the function defined by F(x)=3x−1

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

F(x) = 3x-1
Now F(x) = -7
⇒-7 = 3x-1
   x = -2


Thus, the required solution for F(x) = -7 is x = -2.

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Related Questions

A tree is 8 feet and 11 inches tall.
How tall is the tree in meters?
Round to 2 decimal places if necessary.
Round to 2 decimals if necessary.​

Answers

Answer:

2.72 meters

Hope that this helps!

Classify each triangle as right triangle or not right triangle

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+20^2=29^2

441+400=841

841=841

since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.

Lowest common multiple of 45 and 54

Answers

Answer:

270

Step-by-step explanation:

Answer:

the answer is 270

How to factorise -x^2-4x-5

Answers

Answer:

Step-by-step explanation:

What is the solution to this equation
216 = 62x - 1

Answers

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality  

Algebra II

Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 216 = 6^{2x - 1}[/tex]

Step 2: Solve for x

Rewrite:                                                                                                             [tex]\displaystyle 6^3 = 6^{2x - 1}[/tex]Set:                                                                                                                    [tex]\displaystyle 3 = 2x - 1[/tex][Addition Property of Equality] Add 1 on both sides:                                      [tex]\displaystyle 4 = 2x[/tex][Division Property of Equality] Divide 2 on both sides:                                 [tex]\displaystyle 2 = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 2[/tex]

how do you find volume of sphere, cylinder, cone ? ... explaining please

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Wat is the slope of the line that passes through the points 3,1) and (-2,5)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{-\frac{4}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

We can use the slope formula to find the slope of the two points given.

⸻⸻⸻⸻

[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

510.4 in
Scientific Notation I need an answer please

Answers

Answer:

5.104 X 10^2

Step-by-step explanation:

Answer:

510.4 trillion in scientific notation = 5.104 × 1014.

Step-by-step explanation:

This can also be expressed as 5.104 × 10^14, using the caret symbol, or as 5.104e+14, which is called 510.4 trillion in e-notation,

if x=-4 then what is x^2? in an equation for my homework, they have the solution as positive instead of negative and I don’t understand why.

Answers

Since x=-4
X^2 = -4^2
16.

Answer:

see explanation

Step-by-step explanation:

Given

x² , then when x = - 4

x² = - 4 × - 4 = + 16

[ the product of a negative and a negative results in a positive ]

Bryan, Angela, Elan, and Fiona folded some paper flowers for their school fund-raising project. Elan folded one-fifth of the paper flowers and Bryan folded 25% of them. Angela and Fiona folded the remaining ones in the ratio 1:8. Bryan folded 9 more than Elan.a)How many paper flowers did Fiona folded?b)If each bouquet of 10 flowers was sold at $9, how much money did they raise for school?

Answers

Answer:

a) 88

b) 162 $

Step-by-step explanation:

Given Bryan sold 9 more flowers than Elan

1/4 x - 1/5 x = 9

x/20 = 9

x = 180

Flowers with Bryan = 45

Flowers with Elan = 36

45+36 = 81

Remaining flowers = 99

Flowers with Fiona = 8/9 * 99 = 88

Juan plans to use strategies to find 12x380 shows a strategy he could use

Answers

Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

7*7*7*7*7 written in exponential form

Answers

Answer:

7^5

Step-by-step explanation:

7x7x7x7x7 is equal to 7^5. Depending on how much sevens there are, that is the power number. In this case there are 5 sevens so that means it is 7^5.

If this helps please mark as brainliest

Answer:

7^5

Step-by-step explanation:

see image below:)

PLS HELP ASAP, THANK YOU

PS. WILL MARK BRAINLIEST

Answers

i am so sorry me dont know

Answer:

Answer: Composite figure: 360 ft3

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Please anyone answer me

Answers

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

[tex]A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2[/tex]

Area 2:

[tex]A\frac{}{2} = ∫(g(x) - f(x))dx[/tex]

[tex]= ∫(x - {(x - 2)}^{2} )dx[/tex]

[tex] = ∫( - {x}^{2} + 5x - 4)dx[/tex]

[tex]= ( - \frac{1}{3}{x}^{3} + \frac{5}{2} {x}^{2} - 4x) | \frac{4}{2}[/tex]

[tex] = 2.67 - ( - 0.67) = 3.34[/tex]

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

Which of the following theorems verifies that triangle STU is congruent to triangle XYZ

Answers

Answer:

B. HL

Step-by-step explanation:

If f(x) = -x2 + 6x, what is f(-3)?A) -162 B) -27 C) -9 D) 9

Answers

Answer:

-27

Step-by-step explanation:

f(x) = -x^2 + 6x

Let x = -3

f(-3) = -(-3)^2 + 6(-3)

      = -9 - 18

         -27

Answer:

f(3)= -9

Step-by-step explanation:

F(x)=-x2+6x

f(3)=--3^2+6.-3

f(3)=9+-18

f(3)=-9

A bag contains 3 blue marbles and
4 yellow marbles. You pull out one
marble, do not replace it, and then pull
out another one. What is the probability
that the first marble is yellow and the
second one is blue? In simplest form

Answers

Answer:

2/7

Step-by-step explanation:

Probabilty 1 = 4/7

Probability 2 = 3/6 = 1/2 (because if you not replace it, there is one less

final probability = 4/7 * 1/2 = 4/14 = 2/7

What is the image of (-4, -5) after a reflection over the y-axis?

Answers

Answer:

(4,-5)

Explanation:

Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1 l- foot increments, which set of wood length will form a triangle?

Answers

2 feet to form a triangle

What is the length of side x? If necessary, round your answer to two decimal places. 19 12

Answers

Answer:

D. 14.73

Step-by-step explanation:

According to Pythagoras,

19^2 = 12^2 + x^2

x^2 = 19^2 - 12^2

x^2 = 361 - 144

x^2 = 217

x = [tex]\sqrt{217}[/tex]

x = 14.73

Simplify the expression:
7r–3r+9r

Answers

Answer:

13r

Step-by-step explanation:

-First, collect like terms by calculating the sum or difference of their coefficients.

(7-3+9)r

-Then, calculate the sum or difference and you get..

13r.

Hope this helps! :)

Answer:

13r

I think it is correct but just try making sure oater sorr if I a wrong though

12th grade stat and prob !!!!

Answers

Answer:

The 1st one .

Step-by-step explanation:

Find The size of angle XYZ Give your answer to 1 decimal place
Angle XY 6cm
Angle ZY 15cm

Answers

Answer: [tex]3\sqrt{21}[/tex]

Step-by-step explanation:

[tex](xy)^{2}+(xz)^2=(yz)^2\\so, (6)^{2}+(xz)^2=15^2 \\(xz)^2=225-36\\xy=3\sqrt{21}[/tex]

Find the equation of the line that contains the point
P(−4, −1)
and is perpendicular to the graph of
y = − 4/5x − 4.

Answers

Answer:

Step-by-step explanation:

y = − 4/5x − 4.

y = 5/4 x - 4

-1 = 5/4(-4) + b

-1 = -5 + b

b = 4

y = 5/4 x + 4

Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 205 days of operation. Based on these data, can ? Test at the 5% level of significance.

low med-low med-high high
low 4 15 14 3 36
laptops med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
30 65 57 53 205

Required:
a. What is the test value for this hypothesis test?
b. What is the conclusion for this hypothesis test?

Answers

Answer:

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance.

Step-by-step explanation:

As we have to test the independence of the two categories the chi square of independence test is applied.

Let the null and alternate hypotheses be

H0 :The demand for each type of computers is independent

against the claim

Ha: The  demand for each type of computers is not independent i.e they are associated.

The significance level alpha is chosen to be 0.05

The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is

χ²≥ χ²(0.05,9)=  16.92

Actual Data

                  low          med-low       med-high          high       Total

low             4                15                    14                     3         36

med-low  6                 18                    18                    23        65

med-high 13                 17                   10                     17         57

high          7                  15                  15                      10          47      

Total       30                65                 57                     53         205        

Expected Frequencies

low- low = 30*36/205= 5.27

low- med.low = 65*36/205 = 11.41

low- medium high = 57*36/205= 10.009

low- high = 53*36/205 =9.31

medium low- low = 30*65/205 = 9.51

medium low- med.low = 65*65/205= 20.61

medium low- medium high = 57*65/205= 18.073

medium low- high = 53*65/205= 16.80

medium high- low = 30*57/205= 8.34

medium high- med.low = 65*57/205= 18.07

medium high- medium high = 57*57/205= 15.85

medium high- high = 53*57/205= 14.74

high- low = 30*53/205= 7.76

high- med.low = 65*53/205= 16.80

high- medium high = 57*53/205= 14.74

high- high = 53*53/205= 13.70

Summarizing in a table

Expected Frequencies

                  low          med-low       med-high          high           Total        

low             5.27         11.41                    10.009           9.31        35.999

med-low  9.51            20.61               18.073             16.8        64.993

med-high 8.34             18.07                 15.85            14.74       57  

high          7.76              16.8                  14.74             13.7         53              

Total       30.88           66.89               58.672          54.55         210.992  

Using Excel

The Chi Square Values are

0.062823

0.270857

0.159572

0.735995791

1.229247532

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance,

A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?

Answers

Answer:

15 pounds of plaster

Step-by-step explanation:

First, convert ounces to pounds.

In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.

[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]

Cross multiply and solve for x:

16x = 12

x = 0.75

So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:

20(0.75)

= 15

So, the teacher will need 15 pounds of plaster

Answer:

15 pounds

Step-by-step explanation:

Unit 5 Geometry
i Betty's bedroom is 10; feet by 12 feet,
How much carpet does she need to buy
to cover the entire floor with no carpet
left over?

Answers

Answer:

B) 126 square feet

Step-by-step explanation:

10.5 x 12 = 126

(area)

There are 13 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio? (PICTURE)​

Answers

Answer:

(a) 5:13

(b) 5:8

Step-by-step explanation:

There are 13 books in all.

8 books are new.

13 - 8 = 5 books are used.

Ratio of used books to all books: 5 used books : 13 books in total.

Ratio of used books to new books: 5 used books : 8 new books.

~

Answer

A=  [tex]\frac{5}{13}[/tex]  Or 5:13

B= [tex]\frac{5}{8}[/tex] or 5:8

Step-by-step explanation:

the question asked for you to show the ratio for the number of used books compared to the total number on the shelf. Since it tells us that 8 of the 13 books are new that would mean that the other 5 books that are on the shelf with the 8 new ones would be used. Then you just put it in a ratio, which if im remembering correctly from when i learned this it just looks like a fraction basically. Same goes for the second question except you are just putting the number of used books to the number of new books in ratio form. Hope this helps and also if you  need help learning ratios i gotchu covered :)

The length of a rectangle is 7.5 inches and the width is 2.75 inches. What is the ratio, using whole numbers, of the length to the width
30:11
30:22
11:15
15:11

Answers

Answer:

30 : 11

Step-by-step explanation:

Length : Width

    7.50 :  2. 75

    750  : 275

30 x 25 : 11 x 25

       30 : 11

It would be A) 30:11

A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?

Answers

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

What is a unitary method?

Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given

Prescription requires 10 mg of tablet.

A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.

We know

1 g = 1000 mg

0.1 g = [tex]x[/tex]

⇒ [tex]x[/tex] × 1 = 0.1 × 1000

⇒ [tex]x[/tex] = 100 mg

10 mg < 100 mg

By using unitary method we can say that

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

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