Answer:
- x² - 10x - 26Step-by-step explanation:
Given:
f(x) = - x² - 1g(x) = x + 5Find f(g(x)):
f(g(x)) = f(x + 5) = - (x + 5)² - 1 = - x² - 10x - 25 - 1 = - x² - 10x - 26[tex]\\ \tt\hookrightarrow f(x)=-x^2-1[/tex]
[tex]\\ \tt\hookrightarrow g(x)=x+5[/tex]
Now
[tex]\\ \tt\hookrightarrow f(g(x))[/tex]
Put g(x) value[tex]\\ \tt\hookrightarrow f(x+5)[/tex]
[tex]\\ \tt\hookrightarrow -(x+5)^2-1[/tex]
[tex]\\ \tt\hookrightarrow -(x^2+10x+25)-1[/tex]
[tex]\\ \tt\hookrightarrow -x^2-10x-25-1[/tex]
[tex]\\ \tt\hookrightarrow -x^2-10x-26[/tex]
Marie had 20 Christmas balls to
decorate her Christmas tree. During
weekends she buys additional Christmas
balls (r). Express her total Christmas balls
in algebraic expression.
A. 20r
B. 20 + r
C. 20 - r
D. r - 20
Answer:
The answer is b since she buys some then buys some more so addition
Hope This Helps!!!
Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?
Answer: 4
Step-by-step explanation:
4+3+5=12
12/3=4
helpp plss!! ( put 8. or 9. for the answers on which one you answered )
Answer:
8. 2 3/5 9. 24 pizzas and burgers
Step-by-step explanation:
Answer:
8) 2 3/5 bags of sugar
Just add up 2 bags for cupcakes + 3/5 bag for macaroons
9) Jesse bought 18 burgers and 6 pizzas
3/4 of the food is 18 burgers. You multiply 3 by 6 to get 18, so you would multiply 4 by 6 to get 24, since whatever you do to the numerator, you have to do to the denominator
Find the area of the figure. (Sides meet at right angles.)
Answer:
the area is 68 feet
Step-by-step explanation:
-first pretend that one spot is filled and if you do that the whole rectangle is 8 by 10.
- the area of something is length times width and so 8 times 10 is 80
- however, we can't pretend that we don't have a hole anymore so to figure out that tiny rectangles area we have to find its width and length which is 4 and 3.
- 4 times 3 is 12 and since we have that we subtract 12 from 80 and we get 68.
what is the missing variable?
Answer:
137°
Step-by-step explanation:
So, both are equal to each other due to them being the same degree angle.
5x + 7 = 8x - 71
subtract 5x on both sides
7 = 3x - 71
add 71 to both sides
7 + 71 = 3x - 71 + 71
78=3x
divide both sides by 3
78/3 = x
x = 26
insert x into the equations
5(26)+7°
= 137°
8(26)-71°
= 37°
What is the geometric mean of 2 and 6?
Answer:
[tex]geomtric \: mean = \sqrt{x \times y} \\ x = 2 \\ y = 6 \\ then \: gm = \sqrt{2 \times 6} = \sqrt{12} \\ = \sqrt{4 \times 3} = 2 \sqrt{3} \\ thank \: you[/tex]
What is the slope of the line?
The sum of 15 and three times a number is 27. Find the number.
Answer:
x is a number that is multiple by 3
Step-by-step explanation:
00000009999000000p00
How would you solve this?
The blue Knight soccer team Is practicing kicking the soccer ball into the goal. To begin, each player attempts kicks for 2 minutes and then reports the fraction of goals they made. Brad 4/5, Alice 1/2, and Andre 4/6. Graph each fraction on a number line.
Answer:
the table of x and y values is shown in the attached
The table of x and y values is shown in the attached.
What is Graph?The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically.
a diagram that compares the fluctuation of one variable to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas: a grouping of all points whose coordinates meet a certain relation (such as a function).
Therefore, The table of x and y values is shown in the attached.
To learn more about Graph, refer to the link:
https://brainly.com/question/17267403
#SPJ2
Find the constant of proportionality. If the equation does not represent
a proportional relationship, select Not Proportional.
Y=x/6
The equation, y = x/6, represents a proportional relationship.
The constant of proportionality is 1/6.
Equation that Represents a Proportional RelationshipIf x and y are two variables that are related, a proportional relationship between them can be represented by the equation, y = kx, where k is the constant of proportionality.
Given:
y = x/6
y = 1/6x
This represents a proportional relationship.
The constant of proportionality will therefore be, 1/6.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
Aya and Sakura have now saved up their down payment to buy a home, but they still need to borrow to cover the rest. For the home they want this will require a mortgage of $450,000 to cover the remaining amount and they’re not sure whether they could afford the monthly loan payments. The bank has offered them a mortgage interest rate of 3.25%, compounded monthly .
How much would they have to be able to afford to pay each month in order to pay off their mortgage in 25 years?
What is the total amount that would be paid to the lender after 25 years of payments?
Using compound interest, it is found that:
The total amount that would be paid is of $1,012,978.The would have to afford to pay $3,376.6 each month.What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The mortgage is of $450,000, hence [tex]P = 450000[/tex].Over a period of 25 years, hence [tex]t = 25[/tex].The interest rate is of 3.25%, hence [tex]r = 0.0325[/tex].The amount is compounded monthly, hence [tex]n = 12[/tex].Then, the amount paid in 25 years is given by:
[tex]A(25) = 450000\left(1 + \frac{0.0325}{12}\right)^{12(25)} = 1012978[/tex]
The total amount that would be paid is of $1,012,978.
Considering 25 years of 12 months, the monthly amount paid is given by:
[tex]M = \frac{1012978}{25(12)} = 3376.6[/tex]
The would have to afford to pay $3,376.6 each month.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
In one city, there are four straight streets that form a square block. The length of each side of the block is 196 m. Find the area of the square defined by this city block.
Answer: 38,416
Step-by-step explanation:
Since it is a square all you need to do is find 196² which is 38,416.
Find the equation (in terms of x) of the line through the points (-1,-3) and (3,5)
y =
Answer:17/12
Step-by-step explanation:2/3 + 3/4 = 2 · 4/3 · 4 + 3 · 3/4 · 3 = 8/12 + 9/12
= 8 + 9/12= 17/12
could I know if they are rational numbers or irrational numbers? if they are rational just say "r" and if irrational say "i" !!!
1) irrational
2) irrational
3)rational
4) irrational
5) rational
6) rational
there are 20,000 fans at a football match 12%of the fans are women
work out how many women attended the match
Answer:
they are 2400 women attended the match
hope it helps
Answer:
2400
Step-by-step explanation:
12% of 20,000 is 2400
12/100×20,000=2400
Therefore 2400 fans were women.
At a local print shop 8 copies can be made for $4. At this rate how many copies can be made for $6
Answer:
A copy machine can make 250 copies in 4 minutes. Represent the constant rate of change in copies per minute. answer choices. 125 copies per minute
Step-by-step explanation:
did the test
Answer:
10 copies
Step-by-step explanation:
8 copies divided by 4 equals= $0.50 per copies
so $0.50×12= 12 copies
The answer is 12 copies
1 1/4 of what number is 36
Answer:
28.8
Step-by-step explanation:
1 1/4 = 125%
Set up a ratio
36/x = 125/100
Cross multiply
3600 = 125x
28.8 = x
Round 17242 to the nearest ten thousandth
PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
Answer:
[tex]t \leq 25[/tex]
Step-by-step explanation:
[tex](\sqrt{2t+1}) ^{2} + (\sqrt{2t-1}) ^{2} \leq 10^{2}[/tex]
=> 2t +1 + 2t -1 [tex]\leq[/tex] 100
=> 4t [tex]\leq[/tex] 100
=> t [tex]\leq[/tex] 100/4
=> t [tex]\leq[/tex] 25
7
Write an equation of a line
with slope of 23 and
y-intercept -6.
Answer:
y = 23x - 6
Step-by-step explanation:
The formula for line is y = mx + b
m is the slope, so plug in 23
b is the y intercept, so plug in -6
So it would be y = 23x + (-6), which simpify into y = 23x - 6
Which equation can be solved to find one of the missing side lengths in the triangle?
Answer:
cos(60°) = a/12
Step-by-step explanation:
Cosine = adjacent / hypotenuse, where the hypotenuse is 12 units.
"a" is adjacent to ∅, so a/12 = cos(60°).
Answer: d
Step-by-step explanation: i got 100% on quiz
What is the reference angle for 312
Check the picture below.
Can anyone help me with this proof?
Pretty sure the statement is wrong lol, look at the attached image.
I drew a triangle satisfying the given statements, and the right side is clearly longer than the left side.
ASAPPP I NEED THE ANSWER The graph of a function is given.
Is the function linear or nonlinear?
Select from the drop-down menus to correctly complete this
statement
The function is “Choose” because it “choose” have a
constant rate of change.
Answer:
Linear.
Step-by-step explanation:
The function is linear because it has a constant rate of change.
Find the radian measure of the central angle of a circle of radius 6 yards that intercepts an arc of length 8 yards.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ s=8 \end{cases}\implies 8=6\theta \implies \cfrac{8}{6}=\theta \implies \stackrel{rad}{\cfrac{4}{3}}=\theta[/tex]
A fair die is tossed twice. Find the probability that a 3 is rolled at least once in the two tosses.
Answer:
Step-by-step explanation:
Here are the "winning" rolls
1/6 * 5/6 = 5/36
5/6 * 1/6 = 5/36
1/6 * 1/6 = 1/36
There are three tosses out of 36 that are successful.
11/36 = 0.306
thanks for any help!
Answer: D
Step-by-step explanation:
[tex]20 - 16 = \sqrt{3} x[/tex]
[tex]4 = \sqrt{3x} [/tex]
take square on both sides to get rid of the square root.
[tex] {4}^{2} = {( \sqrt{3x)} }^{2} [/tex]
16 = 3x
x = 16/3
Which expression is equivalent to
ON
?
o
CUP)
Answer:
9√xy^2
Step-by-step explanation:
according to the rule of law of indices, 3√xy=xy^(1/3) like this 9√xy^2 is the correct answer
Harry walked his dog on a trail that was 2400 meters long. How many centimeters did he walk
Answer:
Harry's dog walked a total of 240000 centimeters
Step-by-step explanation: Hope you have/had an amazing day:)
Answer:
He walked 240000 centimeters.
Step-by-step explanation:
There is 100 centimeters in each meter so 2400 X 100 = 240000.
