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

Charlotte read a 608-page book in 16hours last month. How many pages per hour was that

Answers

Answer:

33

Step-by-step explanation:

608pages/16h = 33pages/h

Marking brainliest

Don’t know what to write for the last 2

Answers

Answer:

Business, management, marketing and technology.

Engineering, manufacturing and industrial technology.

i am not sure but i hope it will help you.

please mark me as brainlest.

2 1/6 x 4 1/2= and explain it

Answers

Answer:

9 3/4

Step-by-step explanation:

First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1  Then you keep the original denominator at the bottom of the fraction.

2*6+1/6  4*2+1/2 ---> 13/6 x 9/2

You would then simplify the crossing numbers 6 and 9. They both can be divided by three.

13/2 x 3/2 = 39/4

Now you would do long division where you divide 39 by 4

4 goes into 39 nine times subtracting 36 from 39.

You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.

The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.

What is mixed numbers?

A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.

You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.

(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2

Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.

13/2 x 3/2 = 39/4

You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.

In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.

Therefore, 2 1/6 x 4 1/2 = 9 3/4.

To know more about the mixed numbers, click on the link

https://brainly.com/question/1746829

#SPJ2

Marcus is tying two bows for birthday gifts. He uses 3 3/8 feet of ribbon for Crystal's gift and 2 3/4 feet for Tim's gift. If he has an 8-foot roll of ribbon, how much will Marcus have left over?​

Answers

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.

Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.

• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.

• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.

The left-over computation is as follows:

= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]

= [tex]\frac{256-108-88}{32}[/tex]

= [tex]\frac{60}{32}[/tex]

= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

See related question here brainly.com/question/14702678

can any one solve this please....I kinda need this​

Answers

9514 1404 393

Answer:

t₂ = 2t₃ = 2

Step-by-step explanation:

The given expression says ...

  [tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]

6+m/2 = -3
Help me pleAseeee

Answers

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?

Answers

Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

what is the median of these numbers? 4, 14, 7, 8, 12, 12, 5, 10​

Answers

The median of that data set is 9.

Sort the numbers from least to greatest and find the middle number (that should be your median)

If there are 2 numbers in the middle of the set, then you take the average and that would be your median.

Answer:

9

Step-by-step explanation:

4, 14, 7, 8, 12, 12, 5, 10

Step 1. Sort the numbers in order from least to greatest

4, 5, 7, 8, 10, 12, 12, 14

Step 2. Find the median (middle number)

Since the median is between 8 and 10, add the two numbers together and then divide sum by 2

8 + 10 = 18/2 = 9

please help me is for my homework​

Answers

Answer:

126/100

Step-by-step explanation:

126% / 100

= 1.26

Answer:

1.26

Step-by-step explanation:

divide 126 by 100 first

[tex]\frac{126}{100}[/tex]

you will get

1.26

What is the slope of the line for BOTH graphs? Are the slopes the same or different?

PLS HELP MEEE

Answers

Answer:

both are -10

Step-by-step explanation:

#1

x1 y1  x2 y2

1.5 180  6 135

(Y2-Y1) (135)-(180)=   -45  ΔY -45

(X2-X1) (6)-(1.5)=    4.5  ΔX 4.5

slope= -10          

B= 195          

Y =-10X +195

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~    

#2

x1 y1  x2 y2

1 175  8 105

   

(Y2-Y1) (105)-(175)=   -70  ΔY -70

(X2-X1) (8)-(1)=    7  ΔX 7

slope= -10          

B= 185          

Y =-10X +185    

How many sides does a rhombus HAVE? ​

Answers

a rhombus has about 4 sides

order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16

Answers

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

Calculate the cost for the fuel needed for Sam to drive to Nanaimo to tofino

(15 points)

Answers

Answer:

cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78

Step-by-step explanation:

Diatance from Nanaimo to Tofino is 207km.

Now:

fuel consume in 100km= 12L

fuel consume in 1km=12/100L

We have to find consumption of fuel in 207km.

fuel consume in 207km=12/100 × 207km

= 24.84L

Price of 1 liter= $1.40

Price of 24.84 liters=$1.40 × 24.84

=$34.78

Note:If you have question about it you can ask.Thanks

Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4

Answers

Answer:

Ans. is -10. Explanation is in the attachment.

Solve using Quadratic Formula
x^2 + 3x - 3 = 0​

Answers

Answer:

a= 1 , b= 3 , c= –3

[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]

I hope I helped you^_^

Can you answer this and simplify this?
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1

Answers

Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

#teamtrees #PAW (Plant And Water)

I hope this helps!


Solve 1/3(2x - y) = z for x

PLEASE HELP SHOW WORK!!!!

Answers

Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con

Answers

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

For more information on this visit

https://brainly.com/question/15356513

can someone please help

5(1+2m)=1/2(8+20m)

Answers

Answer:

no solutions

Step-by-step explanation:

5(1+2m)=1/2(8+20m)

5+10m = 4+10m

10m-10m= 4-5

No solutions

Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?

Answers

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

Deana and Bernice are pen pals. The sum of
their ages is 48 years. Eight years from now
Deana will be three times Bernice's age. What
is Bernice's ages now?

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

Write the conjugate of the following complex
number:
-6i

Answers

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]

there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games

Answers

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

https://brainly.com/question/1539712

how far is the point (8,6) from the origin​

Answers

The answer is 14 away

What type of number is 80i?

Answers

Imaginary number because of the i !!!

Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.

represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1

Answers

Answer:

Represents

Step-by-step explanation:

Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.

l find it difficult to solve this problem. Please help.​

Answers

Answer:

27 square are there in the given figure

36 square are in the picture

solve for w 3w + 6w - 19 = -91
please

Answers

Hi ;-)

[tex]3w+6w-19=-91\\\\3w+6w=-91+19\\\\9w=-72 \ \ /:9\\\\\huge\boxed{x=-8}[/tex]

Answer:

w = -8

Step-by-step explanation:

Given:

3w + 6w - 19 = -91

Isolate w, add 19 to both sides:

3w + 6w = -91 + 19

Simplify both sides:

9w = -72

Divide both sides by 9:

w = -72/9w = -8

Evaluate k + 3 when: *
4 points
51 13 15 43 9 45 37
k = 12
k = 48
k = 10
k = 40
k = 12
k = 48
k = 10
k = 40

Answers

Step-by-step explanation:

12 + 3=15

48+ 3=51

10 + 3=13

40 + 3=43

12 + 3=15

48 + 3=51

10 + 3=13

40+ 3=43

4/9 and 10/3 least common denominator?

Answers

Answer:

4/9 and 30/9

Step-by-step explanation:

9, 18, 27, 36

3, 6, 9, 12,

4/9 already has 9 denominator

10/3 × 3/3= 30/9

so now both numbers have common denominators.

4/9 and 30/9

4/9 and 30/9
I did the work
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