Instructions- Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.


f(x) = -0.5x+2
8(x) = -5x + 3

Answers

Answer 1

f(×)=-0,5x+2

8(×)= -5x+3

8×= -5x+3

8-5x+3

3x+3

x6

Answer 2

The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).

To solve the system of equations,  to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:

f(x) = -0.5x + 2

g(x) = -5x + 3

Set f(x) equal to g(x):

-0.5x + 2 = -5x + 3

Now, let's solve for x:

Add 0.5x to both sides to eliminate the term with x on the left side:

2 = -4.5x + 3

Subtract 3 from both sides:

-1 = -4.5x

Now, divide by -4.5 to isolate x:

x = -1 / -4.5

x ≈ 0.2222

Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):

f(x) = -0.5x + 2

f(0.2222) = -0.5(0.2222) + 2

f(0.2222) ≈ 2.1111

So, the point of intersection is approximately (0.2222, 2.1111).

To know more about intersection here

https://brainly.com/question/30792974

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Related Questions

Can someone please help me I really need this one and it’s my last one please

Answers

1. )Tan50/1 = 7/x
2.)7/Tan50
Final.) X=5.87

The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?

Answers

Answer:

W = 7

Step-by-step explanation:

What is the slope of the line?

A. 0
B. 1
C. 5
D. Undefined ​

Answers

Answer:

D undefined

Step-by-step explanation:

y = 3x + 8
8x + 4y = 12

Answers

You substitute the given value of y into the equation
8x+4(3x+8)=12
Solve the equation for x
x= -1
Substitute the given value of x into the equation y=3x+8
y=3x (-1)+8
Solve the equation for y
y=5


Answer: (x= -1) (y= 5)

If the signal had four circular lights, each having the same diameter, what would the total area of all four lights be?

Answers

Answer:

The answer is "[tex]153.86 \ in^2[/tex]"

Step-by-step explanation:

The circular light which fits around rather than is sufficiently large for fire a camera is indeed a ring light. The ring light provides light with very little darkness, as the bright light is very close to a lens's vertical system. It's also usually called glamour or brightness of beauty.

Let's Each light surface area has [tex]38.465\ in^2[/tex].

Therefore, the total area of four lights is [tex]38.465 \times 4= 153.86\ in^2[/tex].

Juan is going to invest $1,700 and leave it in an account for 14 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Juan to end up with $3,700?

Answers

Answer:

5.6  percent

Step-by-step explanation:

because

HELP!! Multiply and simplify and express as a mixed number


12 x 3/8
no links or files

Answers

Answer: 4 and 1/2

Step-by-step explanation: Ok so 12 is a whole number so to turn it into a fraction put it over one as in 12/1.

Then just multiply 12/1 x 3/8 which equals 36/8 But we aren't done!

now we must calculate how many times 8 goes into 36 without going over 36 which is 4. 8 times 4 is 32 so we have 4 leftover. Now writing this as a fraction is 4   4/8. 4 is the whole number and that 4 represents 8 going tinto 36 4 times like we just demonstrated. since 36-32 is 4 thats how you get a 4/8 as your fraction.

Then you just simplify your fraction and 4  4/8 turns into just 4   1/2.

I really hope I explained this well and you understand it! :)

8 cm x 10 cm x 17 cm
This figure consists of a rectangle and a quarter circle
What is the perimeter of this figure?
Use 3.14 for pi.

Answers

Answer: 2length plus 2breath circle is 2pie r

Step-by-step explanation:

perimeter of a rectangle is 2L + 2 B a

Unit 8: Right Triangles & Trigonometry
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Answers

question what unit/ grade math is this?

393/9 with remainder

Answers

Answer:

43 remainder of 6.

Step-by-step explanation:

Find the value of x
−0.5x−0.75=2.15

Answers

Answer:

-5.8

Step-by-step explanation:

i’m tryna finish my exit ticket asap please i don’t need no links i just need help and the answer please

Answers

Answer:

B

Step-by-step explanation:

If you answer this question I will give your brainliest and thanks please help if you can! thanks

Answers

Answer:

a. first box: 75%

second box: 21

b. 7 (u have already wrote)

c. 21+7=28

An article is bought for Rs 100 and sold for Rs 125. What
is the profit percentage?
(Ans: 25%​

Answers

Answer:

25%

Step-by-step explanation:

125 - 100 = 25

25 / 100 = 0.25

0.25 * 100 = 25%

A table is on sale for 33% off. The sale price is $603.
What is the regular price?
Help please

Answers

Answer:900

Step-by-step explanation:

603*100/(1-33)

900

2. Find the area of the triangle.
(1 point)
O 33.62 02
0 số 1 c-
344.4
0172.240-

Answers

ion even know lol ask your teacher

Three pairs of shoes and two pairs of socks cost $123, while three pairs of socks and two pairs of shoes cost $89.50. What does one pair of socks cost?

Answers

Answer:

$2 I think not sure if not sorry

GIVING BRAINLIEST!!!!!

Which expression represents the following statement? Subtract 5 from 7 times the sum of 4 and 2. (4 points)

Group of answer choices

7 x (4 ÷ 2) + 5

7 + 4 + (2 ÷ 5)

7 ÷ 4 − (2 + 5)

7 x (4 + 2) − 5

Answers

The answer is D

4 and 2= 4+2=(4+2)

7 times the sum of 4 and 2

7* (4+2)

Subtract 5 from

7* (4+2)-5

Answer:

The answer is D.

I need help, please ASAP. The photo is attached down below.

Answers

3rd answer would be correct

A deer weighs 13 killograms and a boa constrictor weighs 17 killograms. About How many grams heavier is the boa constrictor than the deer

Answers

Answer:

4 kilogram

Step-by-step explanation:

A deer weighs 13 kilogram

A boa constrictor weighs 17 kilogram

The weight in grans in whichj the boa constrictor is heavier than the boa can be calculated as follows

= 17-13

= 4 kilograms

Hence the boa constrictor is heavier than the boa by 4 kilogram

NEED ASAP PLEASE HURRY

What is the length of segment AC?

Answers

Answer:

8 units

Step-by-step explanation:

Step-by-step explanation:

[tex]C = ( - 6,5) \: and \:A = (3, - 1) \\ length \: AC = \sqrt{ {(x _{2} - x _{1}) }^{2} + {(y _{2} - y _{1})}^{2} } \\ AC = \sqrt{ {(3 - ( - 6))}^{2} + {( - 1 - 6)}^{2} } \\ AC = \sqrt{(81 + 49)} \\ AC = \sqrt{130} \\ AC = 11.4[/tex]

Find the area of the kite

Answers

Answer: I think 46

Step-by-step explanation:

Evaluate the following expression: 082

Answers

This for points.





Nanskw

What is x(3-2)(2-5)=3

Answers

Answer: 1

x(3−2)(2−5)=3

Step 1: Simplify both sides of the equation.

−3x=3

Step 2: Divide both sides by -3.

x=1

Ronique recorded the number of games that the school softball team won each year for the past 7 years: 31, 24, 32, 22, 34, 28, 38. Ronique's team won at least (blank)
games in 75% of the seasons that they played.

Answers

Answer:

Ronique's team won at least 24 games in 75% of the season that they played.

Step-by-step explanation:

(The box-whisker plot below will show everything, but I'll explain it in detail because I want to be more helpful)

So... we have seven data points.

2014 - 15 (Year 1): 31 wins

2015 - 16 (Year 2): 24 wins

2016 - 17 (Year 3): 32 wins

2017 - 18 (Year 4): 22 wins

2018 - 19 (Year 5): 34 wins

2019 - 20 (Year 6): 28 wins

2020 - 21 (Year 7): 38 wins

We need a box & whisker plot for this.

22 will go on the left whisker, since it's the lowest of the data points. 38 will go on the right whisker, since it's the highest.

For the two quartiles, 24 is the first quartile, so from that point to the right whisker, that's 75% of the data. The third quartile will be 34. And the midline will be at 31, since it's the median of the data points.

From that explanation, we can be sure that Ronique's team won at least 24 games in 75% of the seasons that they played.

If the area of a rectangular pool is represented by (12x×x)-17x-5, the length could be represented by ... A.(3x+1) B.(3x+5) C.(4x-5) D.(4x+1)

Answers

Answer:

D.(4x+1)

Step-by-step explanation:

The area of the rectangular pool is given by

Area = length * breadth

Area = (12x×x)-17x-5

A= 12x²- 17x- 5

Factorising the quadratic equation by mid term break rule.

A= 12x²- 20x + 3x- 5    

( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)

A = 4x( 3x- 5) + 1( 3x-5)

(taking commons will evaluate it further.)

A= (3x-5) (4x+1)

so the length could either be 3x-5 or 4x+1

From the given options we have

4x+1 as the length because the rest do not match the factors obtained.

Lorane saw a sweater she wanted to buy
on sale for 25% off. The store charges a
4.8% sales tax. If the sweater normally
costs $65.00, how much money did Lorane
pay for the sweater, including tax?

Answers

51.09 just take 65.00 -25% then add the 4.8 %

2 Question 9
Help I’ll give Brainly est

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Answer:

it c

Step-by-step explanation:

Find the volume of a sphere with a radius of 2 meters. Round your answer to the nearest tenth.
m

Answers

Answer:

V≈33.51m³

Step-by-step explanation:

V=4

3πr3=4

3·π·23≈33.51032m³

pleas help ive been in this exam for 4 hours
An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

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