The graph of the function f(x) is shown.


Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.

The Graph Of The Function F(x) Is Shown.Enter A Value Of X Where F(x) And The Equation Y = 0.5x + 3 Intersect.

Answers

Answer 1

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

The Graph Of The Function F(x) Is Shown.Enter A Value Of X Where F(x) And The Equation Y = 0.5x + 3 Intersect.

Related Questions

Raegan mows two lawns, The first lawn is 5 meters long and 4 meters wide. The area of the second lawn is 2 times as big but has the same width as the first, what is the length of the second lawn

Answers

By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.

What is the length of the second lawn?

We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:

A = 4m*5m = 20m^2

The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:

40m^2 = 4m*L

Solving for L we get:

(40 m^2)/4m = L = 10m

The length is 10 meters.

If you want to learn more about area, you can read:

https://brainly.com/question/24487155

Cyrus' tennis match lasted two and a half hours. Everett's tennis match lasted four and a half hours. How much longer did Everett’s match last?

Answers

Answer:

2 hours

Step-by-step explanation:

4.5 - 2.5 = 2

Hav ean amazing day!!

Please rate!!

The volume,V, of any cube with a side length,s, can be determined using the formula V= as to the third power. what is the volume, in cubic centimeters, of a cube with a side length of 2.3 cm.
A.5.29
B.6.9
C.8.026
D.12.167

Answers

Answer:

D

Step-by-step explanation:

Volume of cube = s^3

    volume = 2.3^3 = 12.167 cm^3

simplify 1/2+3/4-2/7×(1/3+2)​

Answers

Answer:

the answer is 7/12..

thank u

Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠1 + ∠2 = 90°

66 + 2x = 90°

        2x = 90° - 66°

        2x = 24°

           x = 24/2

x = 12°

        ∠2 = 2*12

         ∠2 = 24°

Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?

Answers

Answer:
0.55
Step-by-step explanation:
0.25-0.1=0.15
0.7-0.4=0.3
0.4+0.15=0.55
0.55+1.5=0.7

The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.​

Answers

the area of the circle is 1260.25 π m^2

For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

Answers

820 rodents in total

------------------------------------

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

How many factors of 1000 can be divided by 20 without a remainder?

Answers

Answer: 6

Step-by-step explanation:

Answer number 10 please. Thank you.

Answers

Hi DoraTheExplorer36!
In order to solve number 10:

area of a circle : A=pie * radius (r) squared

A=πr2

Radius is half of a circle and diameter is a full line across a circle

Solve :

A=πr2

A= 3.14 * 11 (radius) 2


1193.0116

Rounded to the nearest whole number is : 1193.

Your answer would be 1193.

Hope that helped! :)

true or false are these lines are intersecting

Answers

Answer: True.

Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel.  Parallel lines look like the image below.  The point of intersection in your image is where K is.  

Hope this helps! :)

if y=5x-3, find the value of y when x=-2

Answers

Answer:

y = -13  

Step-by-step explanation:

y = 5(-2) - 3

y= -10 -3

y = -13  

Step-by-step explanation:

or, y = 5x - 3

or, y = 5 (-2) - 3

or, y = -10 - 3

y = -13

There are ten balls in a bag. Three balls are black and seven balls are white. a One ball is chosen at random and then replaced. Then a second ball is chosen at random. Here are two events. D: the first ball is black S: the second ball is black Are D and S independent? Show your working. ​

Answers

Answer:

Given:

Total balls = 10Black balls = 3White balls = 7

⇒ P(black ball) = 3/10 = 0.3

⇒ P(white ball) = 7/10 = 0.7

If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.

Let event D = first ball is black

Let event S = second ball is black

P(D) = 0.3

P(S) = 0.3  (since the first ball is replaced)

⇒ P(D ∩ S) = P(D) × P(S)

                   = 0.3 × 0.3

                   = 0.09

For Independent Events we know that:  P(A ∩ B) = P(A) × P(B)

Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.

Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero
-2, square root 5, 10/3

Answers

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

[tex](x - a)[/tex]

where a is the root

So we have

[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]

[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]

To get rid of that square root, let have another root that js the conjugate posive root of 5.

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]

[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

[tex](x - \sqrt{5} )[/tex]

?

Because

[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]

If we foiled out we will still have a irrational coeffceint.

What is the answer to this?

Answers

Answer:

59.319

Step-by-step explanation:

V=a3=3.93≈59.319

Hello people ~


Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.
Thanks in advance ​

Answers

Answer:

12000 cm²

Step-by-step explanation:

Area of rectangle is:

A = lw, where l - length, w - width

Substitute the values into equation and find the area:

A = 120*100 = 12000 cm²
Length=L=120cmBreadth=B=100cm

Area

Length ×Breadth120(100)12000cm²

Determine the root of the equation by factoring 3x^2-x-4=0.

I have both of the roots solved, but when I verify it does not come out to a zero. Why is this?

Answers

Answer:

The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]

Step-by-step explanation:

You likely messed up when trying to one or both of the roots back into the equation.

Please help 3(2x+1)+2(x+4)

Answers

Answer: 8x+11

Step-by-step explanation:

Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe calls for 8 cups of broth, but she can only find 32-fluid-ounce cartons at the store. How many cartons should she buy?
cartons

Answers

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO


What is the mean and median
of these data:2,5,9, 11, 19

Answers

Answer:

mean = 9.2

median = 9

Step-by-step explanation:

mean = sum of data / number of data

mean = 2 + 5 + 9 + 11 + 19 / 5

= 46 / 5

= 9.2

median = middle number

= 9

Please answer this order of operations question

-8 - (-2 + 7)2

Answers

Answer:

-18

Step-by-step explanation:

= -8 - (-2 +7) x 2

= -8 - 5 x 2

= -8 - 10

= -18

The radius of a circle is 13 in. Find its circumference in terms of T(pi)

Answers

Answer: 40.82

Step-by-step explanation: You have to multiply pi and 13 to get the answer

simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1​

Answers

Answer:

A. 18

B. -3

C. 3

D. -9

Step-by-step explanation:

Simplify:

A. -9(-2) <== when multiplying two negatives, they make a positive

-9(-2) = 18

B. -9(+6)

-9(+6) = -3

C. -9/-3 <== when dividing two negatives, they make a positive

-9/-3 = 3

D. 9/-1​ <== when dividing a # with a negative, it makes a negative

9/-1​ = -9

Hope this helps!

Answer the question based on the graph

What is the Y-intercept?

What is the asymptote?

Answers

the y-intercept is 2.

evaluate the expression when m=3 and n=8. 40/n-m=

Answers

Answer:

2

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

If n = 8 and m = 3, 8 - 3 = 5.

40 ÷ 5 = 8

Hope this helps

Post Falls High School in Idaho has 1160 students and is growing by 22 students per year.  Richmond High School in Indiana has 1900 students and is shrinking by 15 students per year.

Answers

You didn’t finish the question but this is the equation:
x = number of years;
1160 + 22x (post falls)
1900 - 15x (Richmond)

what is equivalent to 24x + 32y

Answers

Answer:

8*(3x-4y)

Step-by-step explanation:

Just did the test

A machine that assembels a car is an example of a

Answers

Answer:

Mechanical

Step-by-step explanation:

Those ttype of machines build epic cars

PLEASE HELP ME WITH THIS

Answers

The answer is 68 degrees

How do you calculate the diameter of a circle​

Answers

Answer:

diameter is twice the radius ( when given)

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