We are given:
f(x) = -x² - 1
g(x) = x + 5
Finding f(g(x)):
because g(x) = x+5
f(g(x)) = f(x+5)
f(x+5) = -(x+5)² - 1
f(x+5) = -(x² + 25 + 10x) - 1
f(x+5) = -x² - 25 - 10x - 1
f(x+5) = -x² - 10x - 26
comparing with the question,
first blank = (-1)
second blank = (-10)
third blank = (-26)
Find the value of x. Express your answer in simplest radical form.
Answer:
Option D
Step-by-step explanation:
GIVEN :-
Length of hypotenuse = 5 unitsLength of both the legs of the triangle = x units.TO FIND :-
Value of xFACTS TO KNOW BEFORE SOLVING :-
Pythagoras Theorem states that measure of :-
Hypotenuse² = Base² + Perpendicular²
SOLUTION :-
The triangle given in the question is a right-angled triangle. So , Pythagoras theorem can be applied in it.
[tex]=> 5^2 = x^2 + x^2[/tex]
[tex]=> 2x^2 = 5^2[/tex]
[tex]=> x^2 = \frac{5^2}{2}[/tex]
[tex]=> x = \sqrt{\frac{5^2}{2} } = \frac{5}{\sqrt{2} }[/tex]
Rationalizing the value ,
[tex]=> x = \frac{5}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}[/tex]
What is the solution set for this inequality?
-3x + 10 > 22
A. X >-4
B. X <-4
C. X>4
D. X <-4
Nee
Answer:
X<-4
Step-by-step explanation:
-3x+10>22
subtract 10 to both sides
-3x>12
divide by -3 on both sides
when you divide by a negative number you flip the sign so the answer will be x<-4
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to
day 102
House Sales
12
42.8)
Number of Houses Sold
(6.6)
(12.4)
0.0)
(102)
2
4
6
8
10
12
X
Number of Days
0
Answer:
a is the right anser
Step-by-step explanation:
The average rate of change from day 2 to day 10 is given by the slope of the line m =
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The number of houses sold on day 2 is P
The number of houses sold on day 10 is Q
Let the first point be P ( 2 , 8 )
Let the second point be Q ( 10 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 8 ) / ( 10 - 2 )
Slope m = -6/8
m = -3/4
Therefore , the number of houses sold between day 2 and 10 is -3/4 houses per day
Hence , the slope is m = -3/4 houses per day
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The complete question is attached below :
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10
2
Which function has the
same slope as the
linear function graphed
below?
A. y = 4x + 3
B. y = 7x + 3
C. y = 2 - 4x
D. y = 2 - 4x
16 115
4
13
2 110
+1 +2 +3 +4 +5 +6
2. 3
5
6
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the required graph is not attached. The general explanation is as follows:
To calculate the slope of a line, we select two points on the line.
Assume, the points are:
[tex](x_1,y_1) = (-1,0)[/tex]
[tex](x_2,y_2) = (0,-4)[/tex]
The slope will be:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4-0}{0--1}[/tex]
[tex]m = \frac{-4}{1}[/tex]
[tex]m = -4[/tex]
For each of the options, the slope is calculated from the following representation
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope i.e. the coefficient of c
By comparison, we have:
[tex]A.\ m =4[/tex]
[tex]B.\ m = 7[/tex]
[tex]C.\ m = -4[/tex]
[tex]D.\ m = -4[/tex]
So: (C) and (D) have the same coefficients as the assumed function
If Savannah is throwing a party but only has 18 rooms in her house and each room can only fit x people. What expression should Savannah use to find out how many people she can invite?
Answer: 18x
___________________________________
I need the answer fast pls
Answer:
the answer would be none because there is only one of each number
Step-by-step explanation:
Use the Distributive Property to solve the equation. −8x+32=24
Answer:
1
Step-by-step explanation:
-8x+32=24
-8x=24-32
-8x=-8
x=-8/-8
x=1
A silo contains 60,000 pounds of grain how many tons are in 60,000 pounds?
Answer:
30 tons
Step-by-step explanation:
30 is correct
ᶦ ᵗᵒᵒᵏ ᵗʰᵉ ᵗᵉˢᵗ
*** PLEASE HELP ASAP!!* Kayla used a piece of cardstock with an
area of 6x^2 + 12x + 4 square units to cut
out heart shaped cards for her classmates. If
the hearts shown have a combined area of
2x^2 - 8x + 8 square units, write an expression
to represent the area of
the gray region, the unused
portion of cardstock.
SOLUTION:
HOW DO YOU KNOW?
Answer:
This should be 4x - 8x + 8
Step-by-step explanation:
What is g(x)=-5x+3 if “x” is 9
Answer:
-40
Step-by-step explanation
-5(9)+3 =
-43+3 = -40
Consider the following data that represents gas mileages per gallon (mpg) of randomly selected cars of a particular brand.
28 32 23 28 24 36 31 34 25 28 29 23 25
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg. Compute the p-value.
Answer:
The p-value is 0.1228.
Step-by-step explanation:
Before testing the hypothesis, we need to find the sample mean and the standard deviation.
Sample of 13:
The sample mean is the sum of all values divided by 13. Using a calculator, it is: X = 28.15.
The sample standard deviation is the square root of the division of the sum of the differences squared between each value and the mean, by the number of values. Using a calculator, we get s = 4.0162.
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg.
At the null hypothesis, we test if the average gas mileage is of 30 mpg, that is:
[tex]H_0: \mu = 30[/tex]
At the alternate hypothesis, we test if the average is different from 30, that is:
[tex]H_1: \mu \neq 30[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
30 is tested at the null hypothesis:
This means that [tex]\mu = 30[/tex]
From the sample:
[tex]X = 28.15, s = 4.0162[/tex].
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{28.15 - 30}{\frac{4.0162}{\sqrt{13}}}[/tex]
[tex]t = -1.66[/tex]
P-value of the test:
The p-value of the test is the probability that the sample mean differs from 30 by at least |28.15 - 30| = 1.75, which is a two-tailed test with t = -1.66 and 13 - 1 = 12 df.
Using a t-distribution calculator, this p-value is 0.1228.
Given TU = 7.4. what is PS in OC? Round to the nearest tenth.
Answer:
3.7
Step-by-step explanation:
TU= 7.4
PS is half of TU, so we divide 7.4 by 2.
The value of the PS in OC will be 3.8 Phythogorous theorem is applied in the triangle PSC to solve the problem.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes.
Joining the point p to c, resulting in pc being the circle's radius and equal to CQ's radius.
Take a look at the PSC triangle now. In the right angle triangle, PSC apply phythogorous theorem.
PC²=PS²+SC²
(5.1)²=PS²+(3.4)²
26.01=PS²+11.56
PS²=26.01-11.56
PS=√(14.45)
PS=3.8
Hence, the value of the PS in OC will be 3.8
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what is the answer to 5(10.5 + s)?
Ok so when a parenthesee or this symbol ( is beside a letter/Number, in this case 5 you multiply it by whats inside, so 5x10.5, and 5x10.5=52.5. Now for S, it would be 52.5+S.
That is your answwer, and if you wouldn't mind, could I have brainliest?
POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?
a 1
b 2
c 4
d 5
Answer: 5
Step-by-step explanation: I used m.athway
- Find the value of x. If necessary, round to the nearest tenth.
A = = 53 sq. in
Answer:
10.3
Step-by-step explanation:
Area of triangle is : 0.5 *base * height
53 =0.5 * x * x
X =10.295
Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Pls answer fast
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Solve the equation of 4y=20 then find the value of y?
Answer:
y=5
Step-by-step explanation:
Answer:
4y=20
y=20/4
y=5
Step-by-step explanation:
Hope this helps u!!
What must be the value of n ?
Answer:
Since we have a^7 on the Numerator and after simplification... No "a" was left in the expression. It simply means that all a's in the numerator was eliminated and 2a's were left in the denominator.
To eliminate a^7 and still have 2a's as a remainder in the denominator... 'n' must be equal to 9
So
n=9
One out of every five students in this class has an A. What percent of the students have an A?
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.
Answer:
[tex]h(x) = 57(0.8)^x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 32(0.8)^x[/tex]
[tex]g(x) = 25(0.8)^x[/tex]
Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions
[tex]h(x) = f(x) + g(x)[/tex]
[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]
Factorize
[tex]h(x) = (32 + 25)(0.8)^x[/tex]
[tex]h(x) = 57(0.8)^x[/tex]
Ellen made 900 cupcakes for a fundraiser. She can make 50 cupcakes in an hour. She works on the cupcakes for 6 hours a day. How many days did she work on the cupcakes?
Answer:
3 days
Step-by-step explanation
50 multiplied by 6 is 300 cupcakes a day. 900/300= 3
Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
Please help! Math work!
Answer:
The first one is exponential, the second one is linear, and the last one is quadratic.
Step-by-step explanation:
The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.
The second one is linear, because the values are increasing at a constant rate.
The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.
Write and evaluate the expression. Then, complete the statements.
Answer:
if u meant to put a picture it doesnt show up
Step-by-step explanation:
Answer:
first box: 10+2x
second box: substitute
third box: simplify
fourth box: order of operations
last box: 17
arrange the following decimal fractions from smallest to biggest
7,01
0,701
0,71
7,34
7,0101
71,01
7,034
Answer:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
Step-by-step explanation:
Please help..........................
Step-by-step explanation:
its either 16 (a) or 975 (d)
x divided by 6 plus 11 = 14
show steps
what is x
Answer:
x=18
Step-by-step explanation:
[tex] \frac{x}{6} + 11 = 14[/tex]
[tex] \frac{x}{6} = 3[/tex]
x=6×3
x=18
plz mark as brainliest
Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice
contain these letters:
Die #1: A B C D E F
Die #2: G H I J K L
Die #3: M N O P Q R
a. What is the probability that he will roll three vowels? (3 points)
b. What is the probability that he will roll the word DIP?
Answer:
a. The probability is 1 of 108 that he will roll 3 vowels
b. the probability is 1 of 216 that he will roll the word DIP.
Step-by-step explanation:
a. find the 3 chances and multiply
2/6 x 1/6 x 1/6 = 1/108
b. Find the 3 chances of each letter of DIP and multiply
1/6 x 1/6 x 1/6 = 1/216
Hope this helps! (PLS GIVE BRAINLIEST)
A carpenter used a piece of wood 11 feet, 6 inches long to make three shelves of equal length. What is the length of each shelf?
Answer:
3 feet 10 inches
or
46 inches
Step-by-step explanation:
In order to determine the total length of the wood, convert 11 feet to inches
1 feet = 12 inches
11 x 12 = 132 inches
132 + 6 = 138 inches
If the length of each shelve is equal,
length of each shelve = 138 / 3 = 46 inches
or 46/12 = 3 feet 10 inches
What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters
Answer:
la alianza b valorarlo Lampazos puntualizó