Answer:
a=6
b=-2
Step-by-step explanation:
You can use the hint provided on the mathswatch question page, I've attached it below
step 1
h(4) = ax+b = (ax4)+b = 4a+b
it is given in the question that h(4)=22, therefore 4a+b=22
step 2
work out the equation for inverse g
g^-1(x) = [tex]\frac{x-2}{3}[/tex]
step 3
input 14 into the equation in place of x to find g^-1(x)
[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]
so, g(x)^-1=4
step 4
find h(1):
h(1) = (ax1)+b = a+b
so, h(1)=a+b
step 5
a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))
step 6
Now you have two simultaneous equations:
4a+b=22
a+b=4
then, solve for a:
4a+b=22
- a+b=4
3a=18
a=6
then, input answer for a into either equation (I've gone with the a+b=4 equation):
6+b=4
-6 - 6
b=-2
(p.s i know this is very late but hope it helps someone)
PLEASE PLEASE HELP!!
For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
11)
A= (B x H)/2
A= (2.9x3.2)/2= 4.64cm²
12)
A= (B+b)H /2
A= (12+10)5.6 /2 = 61.6in
Answer:
I think that the answer might be 9.30 for the first one and the second one I think is 670.
Step-by-step explanation:
To find the area, you have to multiply the height and width for the two figures.
3.2 × 2.9 = 9.28
12 × 10 × 5.6 = 672
I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.
I need help pls!!! I have 4 minutes left to answer these
Answer:
its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.
Answer:
7/6 is the answer
Step-by-step explanation:
=(1/2+2/3)
taking L.C.M
= (3+4)/6
=7/6
Stevie can refinish a driveway in 4 hours. Ray can refinish the same driveway in 3 hours. Princess can refinish the same driveway in 2 hours. If all three work together, how long would it take them to refinish 5 driveways? Show all work
Answer: 45 because 4+3+2=9 and 9x5=45
The line y=2x+5 would pass through which of the following points?
A(0,2)
B. (0,10)
C. (0,5)
D. (0,7)
Answer:
C: (0, 5)
Step-by-step explanation:
The x-coordinates are all the same: 0. In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).
We conclude that the line would pass through (0, 5), which is the y-intercept.
*name the solid that is formed from the net
(helllpp plsss!!!)
Answer:Cube
Step-by-step explanation:
possibly a cube
Which polynomial is equivalent to 4n + 5^2
Answer:
16n^2+40n+25
Step-by-step explanation:
help asap!! i’ll give brainliest!
Answer:
-4a
Step-by-step explanation:
(5)
A table cost $275. An LCD television set cost $325 more than the table.
Find the ratio of the cost of the LCD television set to the cost of the table.
Express the ratio in its simplest form.
Answer:
table cost=275
LCD television cost=325+275
= 600
[tex]ratio = \frac{600}{275} \\ = \frac{120}{55} \\ = \frac{24}{11} [/tex]
a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast
Answer:
$1.50
Step-by-step explanation:
12/8 = 1.50
Answer:
each taco cost $1.50
Step-by-step explanation:
12÷8=1.50hey !! what's the answer ??
[tex] \sqrt{39 \times 13 \times 3} [/tex]
Answer:
39
Step-by-step explanation:
sqrt(39*13*13)
= sqrt(1521)
= 39
1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his
$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or the
median to get a reasonable estimated price for his bike?
Answer:
The median
Step-by-step explanation:
If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.
Find the sum of the first 59 terms of the arithmetic sequence.
49, 56, 63, 70, ...
What is the sum of the first 59 terms?
Answer:
its 56
Step-by-step explanation:
I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer
What is 2/5% as a fraction?
solve for x round to one decimal place
Answer:
13.7
Step-by-step explanation:
c^2 - b^2 = a^2
16.5^2 - 9.2^2 = a^2
272.25 - 84.64 = square root of a
square root of 187.61
= about 13.66 or 13.7
Answer:
9.2square +16.5square whole under root
Step-by-step explanation:
use a calculator sorry I don't have one on me
No links please. Help
Answer:
C :D
Step-by-step explanation:
Answer:
3 3/4 cubic inches
Step-by-step explanation:
2 1/2 × 1 1/2 × 1= 3 3/4
[tex]l*w*h=v[/tex]
what are the factors of 64 that have a sum of 16
Anwnser 8
Step-by-step explanation:
2,4,6,8,32
Determine the distance, in units, from (−4,−7) to (4,8).
Answer:
17
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[4 - (-4)]² + [8 - (-7)]²
√(8)² + (15)²
√64 + 225
√289
=17
Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
A) $15,932.34
B) $16,173.13
C) $17,002.34
D) $15,231.28
On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places
Answer:
The probability that two of them
die is 0.257
Step-by-step explanation:
From the question, we have that the mortality rate is 0.1
So the probability that they will survive is 1-0.1 = 0.9
Now, we want to check that two will die
We are going you use the Bernoulli approximation of the Binomial theorem as follows
= nCr * p^n * q^(n-r)
where n = 16
r = 2
P = 0.1
q = 0.9
Substituting these values;
14 C 2 * 0.1^2 * 0.9^12
= 0.257
Anybody know what is this? (I think it's not a compass)
Answer:
It is actually called a compass...
Step-by-step explanation:
Answer:
They're called geometrical proportional dividers.
You are a business developer and charge $45 for a site visit plus additional $24 per hour for each hour you spend training employees. Write and solve an equation to determine how many total hours you have to work to earn $810 working hours at two separate businesses.
Answer: [tex]28.3\ hr[/tex]
Step-by-step explanation:
Given
Charge of the site visit [tex]\$45[/tex]
Additional charge per hour is [tex]\$24\ \text{per hour}[/tex]
He eaned [tex]\$810[/tex]
Suppose he worked for x hours
[tex]\therefore 810=45+24x\\\text{On solving}[/tex]
[tex]\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr[/tex]
La natalidad hace que la población aumenta o disminuya??
Step-by-step explanation:
la natalidad hace que la poblacion aumente
GEOMETRY 10TH GRADE NEED HELP ASAP
[tex] \boxed{(6, -3)} [/tex]
Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].
(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].
(26, -13) → [tex] (x_{2}, y_{2}) [/tex].
Let 5 be n, and 3 be m.
5:3 → n:m
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →
[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →
[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →
[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →
[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →
[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]
→
[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]
→
[tex] (6, -3) [/tex].
Thus the coordinates of B are:
[tex] \boxed{(6, -3)} [/tex]
Answer:
Step-by-step explanation:
AB:BC::5:3
let the coordinates be (x,y)
[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]
coordinates of B are (14,3)
5x/7-5=50 plsssssssssss noBOTS
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=77
Explanation:
5x/7 - 5 = 50
5x/7 = 55
5x = 385
x = 77
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
5x/7 - 5 = 50
5x/7 = 50+5
5x/7=55
5x=55x7
5x = 385
x=385/5
x=77
Shelly's age plus Mary's age is less than 36. Mary is 15 years old. Write the equation thatrepresents the problem.
sorry I answered wrongly
Answer:
Shelly's age is less than 21
Step-by-step explanation:
S+15 < 36
S < 21
Y = 2x + 3 The 3 represents
a. slope
b. y-intercept
c. both
d. neither
Answer:
b. y-intercept
Step-by-step explanation:
The slope=the number/s before the x
Is 11 pronounced eleven or onety-one?? PLS HELP MOM WILL SMAK ME WITH A CLOCK AGAIN PLS HELP
Answer:
eleven if your normal
Step-by-step explanation:
Answer:
eleven
Step-by-step explanation:
i need help with 6 and 7! please help asap!! and explain why
Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same
Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter
Graph the line on the coordinate plane provided:
*** (don't forget to SHOW any neccesary WORK!)***
y = -31 - 2