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

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

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

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!

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.

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

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

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.

PLEASE HELP WILL MARK BRAINLIESTTTT

Answers

Answer:

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

Step-by-step explanation:

8x9x10 = 720

5x5x10 = 250

720-420 = 470

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

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.

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).

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! :)

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%?

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!

What does Solving a system by Substitution mean?

Answers

I think the answer is c

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

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.

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

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.

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.

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:

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%

Solve for X and Find AC

Answers

X=3
AC=14
Method below

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:


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.

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]

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:


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)

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

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