PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=1

PLZ HELP, DUE TONIGHT!! Find The Values Of A And B Such That F(x) Is Continuous At X=1

Answers

Answer 1

Answer:

a = 2, b = -4

Step-by-step explanation:

To make the given piecewise function continuous we need:

ax² - b = 6 and 5ax + b = 6 at x = 1

It gives us the system:

a(1²) - b = 6 ⇒ a - b = 65a(1) + b = 6 ⇒ 5a + b = 6

Sum of the two:

a - b + 5a + b = 6 + 66a = 12a = 2

Then b is:

2 - b = 6b = -4

Related Questions

James has decided to start saving for a cruise over the summer. His money is
currently in the local bank, modeled by the function s(x) = 102. He is able to do work
around the neighborhood to earn extra money and that function would be a(x) = 8
+ 2), where x is measured in hours. Explain to James how he can create a function
that combines the two, and describe any simplification that can be done.
EXPLAIN IN COMPLETE SENTENCES

Answers

Answer:

f(x)=8x +118

Step-by-step explanation:

What does Solving a system by Substitution mean?

Answers

I think the answer is c

For the following system is the 2nd equation to make substitution for y in the first equation 2x+y=6 y=3x+4

Answers

Answer:

x= -20/3 y= -8/3

Step-by-step explanation:

x= -20/3 y= -8/3

Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick

Answers

Answer:

yes

Step-by-step explanation:

side 5 and side 12 where the angle is you can form a square in the corner

The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change

Answers

Answer:

4%

Step-by-step explanation:

HELP!!! THIS IS DUE TODAY! I WILL MARK BRAINLIEST

A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?

A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?

Answers

Answer:

With replacement

[tex]probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}[/tex]

[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement =[/tex][tex]\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}[/tex]

Without replacement

[tex]probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}[/tex]

[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}[/tex]

A grocery store sells steak for $6.10 per pound. What would be the cost of 2.6
pounds of steak?
Record your answer. Be sure to use the correct place value.

Answers

Answer:15.86

Step-by-step explanation:you just have to take 6.10 and multiply it by 2.6

Pick three side lengths that will make a right triangle

Side 1:_____ side 2:_______ side 3:______

Answers

Answer:

3, 4, 5

Step-by-step explanation:

3² + 4² = 5²

=> 9 + 16 = 25

=> 25 = 25

Answer:

Side 1: 6

Side 2: 8

Side 3: 10

6² + 8²

36 + 64

√100 = 10

Side 1: 3

Side 2: 4

Side 3: 5

3² + 4²

9 + 16

√25 = 5

The sum of the square of the base and height should be equal to the square of the third number.

Which expression is equivalent to 2-2 x 22?

Answers

Answer:

-42

Step-by-step explanation:

Following Order of Operations, we have to multiply before subtracting, so

[tex]2-2*22[/tex]

[tex]=2-44[/tex]

[tex]=-42[/tex]

Using order of operations, we get -42.

Find the length of the third side. If necessary, round to the nearest tenth.
20
25

Answers

Answer:

15

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 20

base (b) = ?

we know by using Pythagoras theorem we get

b = √h² - p²

  = √25² - 20²

  = √225

  = 15

PLEASE HELP WILL MARK BRAINLIESTTTT

Answers

Answer:

470 [tex]cm^{3}[/tex]

Step-by-step explanation:

8x9x10 = 720

5x5x10 = 250

720-420 = 470

The graph of a linear system is shown​

Answers

answer:

(2,6)

step-by-step explanation:

when solving by graphing, their interaction point is the solution

Answer:

(2, 6)

Step-by-step explanation:

you can find the solution to a linear system by looking at the plot points they intersect at.

hope this helped!

Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.

Answers

It increased by 95%?

Write the equation in standard form for the circle with radius 4 centered at the origin

Answers

Answer:

common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.

Answer:

x² + y² = 16

Step-by-step explanation:

We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,

=> ( x - h)² + (y -k)² = r²

=> ( x -0)² + (y-0)² = 4²

=> x² + y² = 16 .

• Hence the equation of the circle is x² + y² = 16.

Solve plz
500 - 2.23

Answers

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

500-2.23500-2.23497.77

hope it helps

stay safe healthy and happy.

What is the weight of the contents of a 50 gallon drum of alcohol? Express answer to the nearest hundredth pound.

Answers

Answer:

416.444 pounds

Step-by-step explanation:

Drum of alcohol = 50 gallons

Convert gallon to pound

1 gallon = 8.329 pounds

50 gallons = 416.444 pounds

50 gallons drum of alcohol = 416.444 pounds of alcohol to the nearest hundredth pound.

Can someone help me with this? Right answer gets brainliest!! :)

Answers

Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

56 is the correct answer

i need help with this please

Answers

Answer:

650 cm²

Step-by-step explanation:

Use the formula 2(lw+wh+lh)

Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²

And there you go!

Please mark brainliest!

Find the 3rd term in the expansion of (a+b)^8 in simplest form.

Answers

Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

The third term of the expansion is 56a⁵b³

How to determine the third term?

The expression is given as:

(a + b)^8

The above expression is a binomial expression, and the nth term of the expression is:

(a + b)^n = nCr * a^(n - k) * (b)^k

Where k = 0, 1, 2.....

So,we have:

(a + b)⁸ = ⁸C₃ * a⁸⁻³ * b³

Evaluate the combination expression

(a + b)⁸ = 56a⁵b³

Hence, the third term of the expansion is 56a⁵b³

Read more about probability at:

https://brainly.com/question/251701

Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?

Answers

Answer: 90

Step-by-step explanation:

450/5 or 450 divided by 5

you can work this out by figuring out 45/5 which is 9

so 450/5 equals 90

he should read 90 pages per day

Answer:

90

Step-by-step explanation:

Because if you divide the pages into the 5 day it would be 90

450 divide by 5 = 90

Which number is farthest from 0

Answers

Answer:

17

Step-by-step explanation:

it 17 trust me

Answer:

17

Step-by-step explanation:

Write the numbers least to greatest.

-15, 0, 9, 10, 17

Then, highlight the one on the very right.

-15, 0, 9, 10, 17

Have a wonderful day! :)

Solve for X and Find AC

Answers

X=3
AC=14
Method below


HELP PLEASE
LIAM SAYS -(5/12) is equal to 5/-12 is he correct or wrong ?

Answers

Answer:

He's incorrect

Step-by-step explanation:

lf you put -(5/12) you get -2 1/2 and 5/-12 is -0.4166 and so forth. You can tell these number's aren't the same, so always check with a culculator to make sure. In this case he is wrong.

write in sigma notation 3+10+17+24+31

Answers

Answer:

Now let n=i, and write, ui=7i-4. Hence, 3+10+17+24+31+38=∑6i=1 (7i-4).

Answer:

Now let n-i, and write, ui-7i-4. Hence, 3+10+17+24+31+38=26i-1 (7i-4).

I don’t know what to do please help

Answers

Answer:

haha um make conversation

Step-by-step explanation:

Ok from experience texting back multiple times when the person is just leaving you on scene is a little weird. There could be multiple things happening and constantly trying to get a answer is kinda pressuring the person to text back even if they don’t know what to say.

I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes​

Answers

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%

Answers

what percent does housing take up in this family budget of four ( a.50%

Find the missing angle in this triangle

Answers

Answer: The 2nd one

Step-by-step explanation:

The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter

Answers

Answer:

50 m

Step-by-step explanation:

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