Answer:
a = 2, b = -4Step-by-step explanation:
To make the given piecewise function continuous we need:
ax² - b = 6 and 5ax + b = 6 at x = 1It gives us the system:
a(1²) - b = 6 ⇒ a - b = 65a(1) + b = 6 ⇒ 5a + b = 6Sum of the two:
a - b + 5a + b = 6 + 66a = 12a = 2Then b is:
2 - b = 6b = -4What does Solving a system by Substitution mean?
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?
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
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
Answer:
f(x)=8x +118
Step-by-step explanation:
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.
Answer:15.86
Step-by-step explanation:you just have to take 6.10 and multiply it by 2.6
Find the 3rd term in the expansion of (a+b)^8 in simplest form.
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
Write the equation in standard form for the circle with radius 4 centered at the origin
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.
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
Answer:
50 m
Step-by-step explanation:
Can someone help me with this? Right answer gets brainliest!! :)
Answer:
7 times (*) 8
Step-by-step explanation:
Product in this case means multiplication
What is the weight of the contents of a 50 gallon drum of alcohol? Express answer to the nearest hundredth pound.
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.
write in sigma notation 3+10+17+24+31
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).
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
Solve plz
500 - 2.23
Answer:
497.8
Step-by-step explanation:
500-2.23=497.77=497.8
Answer:
500-2.23500-2.23497.77hope it helps
stay safe healthy and happy.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?
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]
Can someone help on this?
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change
Answer:
4%
Step-by-step explanation:
For the following system is the 2nd equation to make substitution for y in the first equation 2x+y=6 y=3x+4
Answer:
x= -20/3 y= -8/3
Step-by-step explanation:
x= -20/3 y= -8/3
I don’t know what to do please help
Answer:
haha um make conversation
Step-by-step explanation:
Which expression is equivalent to 2-2 x 22?
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 missing angle in this triangle
Answer: The 2nd one
Step-by-step explanation:
Solve for X and Find AC
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
PLEASE HELP WILL MARK BRAINLIESTTTT
Answer:
470 [tex]cm^{3}[/tex]
Step-by-step explanation:
8x9x10 = 720
5x5x10 = 250
720-420 = 470
i need help with this please
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!
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.
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
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
Pick three side lengths that will make a right triangle
Side 1:_____ side 2:_______ side 3:______
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 number is farthest from 0
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! :)
The graph of a linear system is shown
answer:
(2,6)
step-by-step explanation:
when solving by graphing, their interaction point is the solutionAnswer:
(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!
HELP PLEASE
LIAM SAYS -(5/12) is equal to 5/-12 is he correct or wrong ?
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.
Find the length of the third side. If necessary, round to the nearest tenth.
20
25
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