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

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

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]

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

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.

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

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:

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

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.

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

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

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

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]

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

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

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

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

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]

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 :)

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

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]

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

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:

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

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.

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)

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

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]

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:

               

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

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