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 = -4James 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:
What does Solving a system by Substitution mean?
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
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
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:
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]
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
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 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 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
PLEASE HELP WILL MARK BRAINLIESTTTT
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
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!
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.
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.
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.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.
Can someone help me with this? Right answer gets brainliest!! :)
Answer:
7 times (*) 8
Step-by-step explanation:
Product in this case means multiplication
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!
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
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
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! :)
Solve for X and Find AC
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.
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).
I don’t know what to do please help
Answer:
haha um make conversation
Step-by-step explanation:
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
Can someone help on this?
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%
Find the missing angle in this triangle
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
Answer:
50 m
Step-by-step explanation: