Algebraic expression for statement : the difference of -10 and the product of p is
[tex]-10-pq[/tex]
Given :
the difference of -10 and the product of p and q.
We need to translate the given statement into expression
Product means multiplication
Product of p and q is pq
Difference means the subtraction
Difference of -10 and pq can be written as
[tex]-10-pq[/tex]
Algebraic expression for statement : the difference of -10 and the product of p is
[tex]-10-pq[/tex]
Learn more : brainly.com/question/18792674
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
Help please help help please please please
Answer:
C. [tex] \frac{5}{4} [/tex]
D. [tex] \frac{6}{7} [/tex]
Step-by-step explanation:
C. [tex]2 - \frac{12}{16} [/tex]
[tex] = 2 - \frac{3}{4} [/tex]
[tex] = \frac{8 - 3}{4} [/tex]
[tex] = \frac{5}{4} [/tex]
D. [tex] \frac{20}{22} \times \frac{33}{35} [/tex]
[tex] = \frac{10}{11} \times \frac{33}{35} [/tex]
[tex] = 10 \times \frac{3}{35} [/tex]
[tex] = 2 \times \frac{3}{7} [/tex]
[tex] = \frac{6}{7} [/tex]
Write a compound inequality for the graph shown below.
Use x for your variable.
Step-by-step explanation:
what i understand is x is a axis
Given g(x) = 4x-12
What is the value of x if g(x)= -24
Answer:
-3
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
Please Help! I will give you a lot of points if you do!
--This is Hindu-Arabic math so you have to use their number system
Answer:
47
Step-by-step explanation:
According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1
you do 5*7+12 which is equal to 47
So the answer is 47,
Hope this helps!
First look at the chart and then convert each symbols to their respective numbers
[tex]\\ \tt\longmapsto 6+14+13+4+0+10[/tex]
Now add[tex]\\ \tt\longmapsto 20+17+10[/tex]
[tex]\\ \tt\longmapsto 37+10[/tex]
[tex]\\ \tt\longmapsto 47[/tex]
i found that the product of 93 and 6 is 558 how to check the answer useing addition
Answer:
ebe
Step-by-step explanation:
fdfvfvdcfvgbhnjfggtfdfgb
Please helpppppp????
Answer:
hii
Step-by-step explanation:
which question do you want
The sum of 7 times a number and 5 is the same as the difference of the number and 7. Find the number.
Answer:
pls mark me a brainliest
let x represent the number
7(x) + 5 = 7 - x
so we now group like terms
7x + x = 7 - 5
8x = 2
we now divide through by 8
[tex] \frac{8x}{8} = \frac{2}{8} [/tex]
[tex]x = \frac{1}{4} [/tex]
the final answer for the number is 1/4
Hope this will help
Have a good day
Which ratio is equivalent to 12 Over 2?
4 Over 6
24 Over 36
36 Over 6
6 Over 8
Answer:
36 over 6
Step-by-step explanation:
36 ÷ 6=12÷2
A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards? Be sure to include the correct unit in your answer.
Answer:
[tex]180 ft.^2[/tex]
Step-by-step explanation:
[tex]15 ft.[/tex] × [tex]12 ft.= 180 ft.^2[/tex]
I need the answer to this plsss
Answer:
7 cm
Step-by-step explanation:
divide 56 by 8
area=length×width
width=area÷length
=56÷8=7 cm
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rent-als that day?
x – Зу +8x47+ 15 – 4у
Answer:
X-7y+391
Step-by-step explanation:
First multiply
8x47=376
Now group those that are the same together
X-3y -4y+376 +15
X-7y+391
Answer:
x - 7y + 391
Step-by-step explanation:
[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]
[tex]x - 3y + 376 + 15 - 4y[/tex]
[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]
[tex]x - 7y + 376 + 15[/tex]
[tex] = x - 7y + 391[/tex]
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
33
plsss mark brainliestt
Step-by-step explanation:
4(7)+23+2/8-3
28+25/5
28+5=33
Which rational number equalsIf (26)x = 1, what is the value of x? 0 point 1 with bar over 1?
Answer:
rational numbers equalslf 26×1=26the value of x =26ans
The value of 2 · 5^2 is 100. True or False?
If n = 4, the value of the expression 28 - 12 + ÷ 2 is _____.
A) 15 B) 17 C) 17/2 D) 21
Please answer both!
What is percent 10 1/4 of 66?
Find the exact value without a calculator. Tan 7pi/12=sin7pi/6/2 /cos7pi/6/2
Answer:
2+3
2+3
Step-by-step explanation:
Proportions-
Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answer:
the width would be 20 inches
Step-by-step explanation:
32 = 8 × x
32 ÷ 8 = 4
so now multiply 5 by 4 which equals 20 inches
11/14 as a repeating decimal using bar notation
Step-by-step explanation:
______
0.7857142
note the first 7 is not included in the bar
Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...
The Answer is:
an = -15 + 9(n - 1)
What is 6 times 2 times 3?
Answer:
36
Step-by-step explanation:
6 * 2 = 12
12 * 3 = 36
Answer:
36 :P
Step-by-step explanation:
6x2: 12
12x3:36
Multiply (-14/21) x5/9 Enter your fraction as a fraction, in simplest form.
Please help
Answer:
simplifed -10/27
Step-by-step explanation:
PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
7 1/12
Step-by-step explanation:
i just know
Answer:
its -4 1/3
Step-by-step explanation:
jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?
Answer:
7.5
Step-by-step explanation:
168.75 divided by 22.5 = 7.5
$7.50 dollars an hour.
7.50 x 22.5 = 168.75
f(x)=x2
g(x)=x−3
Find the composition of the two functions and show your process:
g(f(x))
Answer:
g(f(x)) = x² - 3
Step-by-step explanation:
g(f(x))=g(x²)
= x² - 3
Step-by-step explanation:
[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]
Miss Marple’sgrandfather passed away and she attended the reading of the will. The estate was valued at $8,424,000. It was decided that 23of the estate would be given to his children. Of the remainder, 15would be used to create a scholarship for mathematics majors at a local university and the rest would be divided evenly among his fourgrandchildren, of which Miss Marplewas one. a.How much money was used for the scholarship?[3 pts]b.What fractionof the estate did Miss Marpleend up inheriting?
The amount of money used for scholarship and the fraction of the estate gotten by Miss Maple are :
Scholarship amount = $561,600Fraction gotten by Miss Maple = 1/30The entire fraction of the estate = 1/1
Fraction given to children = 2/3
Fraction left = Total - fraction given to children
Fraction left = 1/1 - 2/3 = 1/3
For scholarship :
1/5 of fraction left :
1/5 of 1/3 = 1/5 × 1/3 = 1 /15
Fraction Given to grand children :
1/5 - 1/15 = 2/15
Amount of money used for scholarship :
1/15 × 8424000 = $561,600
B.)
Since There are four grand children and it was equally shared among them:
Miss Maple is one of the grand children:
Fraction each grandchild gets is :
2/15 ÷ 4
2/15 ÷ 4/1
2/15 × 1/4 = 2/60 = 1/30
Hence, miss Maple will get 1/30
Learn more : https://brainly.com/question/18109354
if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
Out of all the trains currently at Middlebury Station, 5 are
headed east, 4 are headed west, and 9 are headed north.
What is the probability that a randomly selected train will be
heading north?
Work Shown:
9 trains headed north
5+4+9 = 18 trains total
P(north) = (# of north)/(# total) = 9/18 = 1/2
A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
