Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9

Answers

Answer 1
Answer:

Explanation:

Find x:

f(x) = g(x)

x^2+2x-1 = 5x+3
x^2+2x-5x-1-3 = 0
x^2-3x-4 = 0
(x-4)(x+1) = 0
=> x-4 = 0 => x = 4
=> x+1 = 0 => x = -1

Find f(-4):

(-4)^2 + 2(-4) - 1
= 16 - 8 - 1
= 7

Find g(9):

5(9) + 3
= 45 + 3
= 48

Related Questions

Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3​

Answers

hope it is help full

Step-by-step explanation:

mark me a brainlist

contesteneme doy coronita y 25 puntos tambien 5 estrellas​

Answers

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80

A quarterback is sacked for a loss of seven yards, then again for a loss two more
yards. He then completes an eighteen yard pass. Represent the team's overall gain
or loss as an integer.
Answer: yard:

Answers

Answer:

+9 yards

Step-by-step explanation:

Sacked for 7 then another 2 for a total of 9 yards.

Then he gains 18 yards.

18 - 9 = 9

Paul joins a gym. He paid $50 as an initial fee and then pays $30 each month. Set up and solve an equation to find out how long has he been at the gym if he has paid $260

Answers

Answer:

the equation you would use: y = 30x + 50

(x= months)

(y= cost)

then you would plug in the cost, 260, for y to get

260 = 30x + 50 --> 7 months

Step-by-step explanation:

I got the equation from the slope intercept form y = mx +b.

The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.

Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.

when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,

then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7

Therefore, Paul has been at the gym seven months if he has paid $260.

Create two equivalent ratios for 3/5

Answers

Answer:

its equivalents can be 3/5*2 =6/10 = > 6:103/5×2=6/10=>6:10

second equivalent is 3/5*3=9/15= > 9:153/5×3=9/15=>9:15

Answer:

30/50, 6/10, 15/25, 300/500

actually as a ratio it should be:

30:50 , 6 : 10, 15:25, 300:500

Step-by-step explanation:

The sum of 9 and y is less than -21.

Translate the Sentences into an inequality​

Answers

Answer:

9 + y < 21

Step-by-step explanation:

               

Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]

Answers

The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".

The given expression is 8÷2/3

We need write a word problem which is solved by the above expression.

Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.

Solution

[tex]x[/tex]* × 2/3 =8

Divide both sides by 2/3.

x=8/2/3

x= 8×3 / 2

x= 12

Therefore, the total number of students is 12.

WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.

Answers

Answer:

false.

Step-by-step explanation:

just cause you move a decimal point to the left dosent mean its positive.

I am giving brainliest pls help asap

Answers

Answer:

-49

Step-by-step explanation:

5 - 3|3 • ( -6)|

5 - 3|3 • 6|

5 - 3(18)

5 - 54

-49
___________________
Hope this helps!

Love you.

- doomdabomb
The answer for it is -49

10a²+3b-5a-a²+5b; a=-3 b=5

Answers

10a^2+3b-5a-a^2+5b; a=-3 b=5
Determine the sign
Multiply
Evacuate

10 * 3^2+15+15-9+25
Evaluate

10 * 9+15+15 -9+25
Multiply

90+15+15-9+25
Calculate it

Answer: 136

Answer:

136

Step-by-step explanation:

Substitute the values for the variables.

[tex]10(-3)^2+3(5)-5(-3)-(-3)^2+5(5)\\\\90+15+15-9+25\\\\136[/tex]

Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?

Answers

A system of busses, railroads, etc, and it may move the wider populace along defined routes.It is used as a basic instrument in the modulation of transport systems, whether it covers an aircraft network or a railway network.It is much more frequent in current circumstances that already existing transport systems are rationalized.

Given:

City's population= 785,000.

Calculating of city's population:

[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]

[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]

Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]

Calculating [tex]\bold{9.4\%}[/tex] of the city's population:

[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]

Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]

So, the final answer is "Between 66725 and 73790 people use the transit system daily".

Learn more:

brainly.com/question/1806188

5(a-1)-15=3(a+2)+4 help

Answers

Answer:

a=15

Step-by-step explanation:

5(a−1)−15=3(a+2)+4

Use the distributive property to multiply 5 by a−1.

5a−5−15=3(a+2)+4

Subtract 15 from −5 to get −20.

5a−20=3(a+2)+4

Use the distributive property to multiply 3 by a+2.

5a−20=3a+6+4

Add 6 and 4 to get 10.

5a−20=3a+10

Subtract 3a from both sides.

5a−20−3a=10

Combine 5a and −3a to get 2a.

2a−20=10

Add 20 to both sides.

2a=10+20

Add 10 and 20 to get 30.

2a=30

Divide both sides by 2.

a=230

Divide 30 by 2 to get 15.

a=15

how much would $500 invested at 5% interest compounded continuously be worth after 8 years?
a: $700
b:$709.58
c:$745.88
d.$738.73

Answers

Answer:

D

Step-by-step explanation:

We will need to use the compound interest formula:

A = P(1 + r)ⁿ

A = final amount

P = Initial amount

r = rate

n = time applied

Our equation will then look like this

A = 500(1.05)⁸

A = 738.72772

Can some one help mẹ pls....

Answers

Answer:

h(2) or h(g(4)) = -28

Step-by-step explanation:

g(t) = t - 2,

g(4) = 4 - 2,

g(4) = 2

h(t) = -3t³ - 2t,

h(2) = -3(2)³ - 2(2),

h(2) = -24 - 4,

h(2) or h(g(4)) = -28

Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.

Answers

Step-by-step explanation:

1.06 × 12.95

13.727

which is 13.73 to find the sales tax subtract it from the original

12.95 - 13.73

which is about 28 cents or 0.28

I WILL GIVE 50 POINTS (WOW IKR 50) TO PEOPLE WHO GET THIS RIGHT. NO SCAMMING PLEASE

Answers

the answer is 232 units.

Answer:

232 units

Step by step explanation

Help please.
Simplify: 2 + 3i / 4 + 2i

Answers

Answer:

○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]

I am joyous to assist you at any time.

4/5 as an equivalent fraction in 3 different forms.​

Answers

Answer:

Equivalent fraction of ⅘:

[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]

f(x) = 1/x; Find f (1/10)​

Answers

Answer:

f(1/10)=10

Step-by-step explanation:

f(x) = 1/x

f (1/10)​=1/(1/10)=1·(10/1)=10

It is angle measure please help

Answers

Opposite angles are equal

[tex]\\ \rm\longmapsto m+357=4m+6[/tex]

[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]

[tex]\\ \rm\longmapsto 3m=351[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]

[tex]\\ \rm\longmapsto m=117[/tex]

Find the value of A, if ∛500 × A =10

Answers

Hope it helpsssss !!!!!!!

Answer:

A = 10 / 500 ^ (1/3)

A = 10 / 7.9370052598

A = 1.2599210499

Step-by-step explanation:

solutions to the quadratic equation x^2+3x-28=0

Answers

Answer:

look on the graph

Step-by-step explanation:

the solutions are x = -7 and x=4

Answer:

x = -7 ; x=4

Step-by-step explanation:

The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]

4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364

Answers

Answer:

-60/72 = -5/6

-24/36 = -2/3

91/364 = 45/182

A)-5/6

B)-2/3

C)45/182

Is the expression 2•4 x equal to the expression 8x? Explain your answer

Answers

Answer : Yes

Step-by-step explanation:

Answer:

[tex]true[/tex]

Step-by-step explanation:

Simplify the expression:

[tex]2 \times 4x[/tex]

Multiply the monomials:

[tex]8x[/tex]

Check equivalency:

[tex] \frac{8x}{8x} [/tex]

Check equivalency:

[tex]true[/tex]

Write 4 2/5 as an improper fraction

Answers

22/5

Explanation-

First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.

Working-

4×5=20

→ 20+2=22

→ 22

22/5

PLEASE HELP GIVIBG BRAINIEST AWNSER WORTH 32 POINTS





A cell phone company offers two different monthly plans.
Plan A costs a flat rate of $0.10 per minute for all calls. Plan B costs $29.99 for
the first 500 minutes and $0.08 for each additional minute. Which plan is less
costly if a person uses 750 minutes per month? Explain.

Answers

Answer:

The Best is B = 44.985

Step-by-step explanation:

(A)First thing is that 0.10 times 750 is 75$

(B)but the 29.99 divided buy 500 equal 0.05998.

then you multiplier by 750 which equal 44.985.

this is the best way I hope this helps :)

How many quarts of water should be added to 6
quarts of 80% antifreeze solution to dilute it down
to 30%?

Answers

Answer:

Step-by-step explanation:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

 

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Loretta placed 9 teaaspoons in each 2 bowls. Show many teaspoons did she use

Answers

answer:
18 teaspoons
explanation:

9 teaspoons x 2 bowls
( 9 x 2 )
= 18 teaspoons altogether

solve for X...........​

Answers

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions

2 times a number is 12.
How do you right that in equation form

Answers

Answer:

2 * x = 12

Step-by-step explanation:

Answer:

2x = 12

Step-by-step explanation:

let the number be x then 2 times the number is 2x. so

2x = 12 ← in equation form

Other Questions
In the past year Abdul watched 18 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good? 10. Which of these statements is correct about the circulatory system? It transports hormones Capillaries have thicker walls than veins Systemic circulation carries blood to and from the lungs All are true Why is Wilson covered with dust from the ashes? Sergey follows a healthy diet and exercises regularly. He also enjoys all academic studies and wishes to study government and politics at the local university after graduating from high school. But Sergey has been frustrated by his job, working as a greeter at a popular local caf. He needs the income for savings but finds the restaurant industry boring and exhausting. What is something that Sergey could do to improve on this area of wellness?Ask the restaurant if there are other positions available, perhaps as a serverContact a local or regional government office to inquire about a part-time jobExpand his group of friends to increase emotional and social supportMake time to reflect more on his personal belief system and worldview Evaluate-2xy, if x=-4 and y=1.320-160-3216 Subtract. Write your answer in simplest form.5/- 10/5 I need help , Help me please . Is the relation a function? ExplainSet-builder notation?Domain/range? 6. Heat from the sun reaches to us by (a) radiation(b) conduction (c) convection(d) all of thesePS. the one who gets it correct will be followed by me and also be marked as the brainliest! Jennifer has 21 pencils she gives 21 pencils to her teacher write an equation that represents this situation F(x) = (x-2)(x + 1)X+1Which statements describe the end behavior of the graph of the function shown? Check all that apply.As x,y1.As x,y".As x,y --.As x,y 1.As x,y.As x + y -0. -2x + 9x5 + 1 - 9x2Whats the answer to this someone help plz A mountain is 18,574 feet above sea level, and a valley is 400 feet below sea level. What is the difference in elevation between the mountain and the valley? Where dose history end and legends begin? what is 15 times 7/5 compared to 15 equal? people who have overcome stereotyping It's the middle of the night, and your familyreceives an urgent message that each personmust evacuate the house immediately. You areonly allowed to take one item with you. What itemwould you choose? Describe that items usingdescriptive words and phrases and explain whyyou would choose that item. Which land did God first reveal Himself to Moses? If you have a low Expectation of success in college, it will not affedt your Motivation. True or false hillary is cycling across montana taking a 845 mile course . the first week she covered.320 miles. the second week she traveled another 350 miles. how many more miles does she have to travel to complete course?