the slope is 1/10
y2 - y1 / x2 - x1
) y = 2x - 4
y = -3x + 1
Answer:
I think x = -8. Hope this helps!! :)
Hello could someone help me
Use f(x) = 2x − 3 and g(x) = 4 − x2 to evaluate the expression.
(a) (f ∘ g)(x)
(b) (g ∘ f)(x)
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:
[tex](f\,\circ\,g) (x) = f(g(x))[/tex] (1)
[tex](g\,\circ \,f)(x) = g(f(x))[/tex] (2)
If we know that [tex]f(x) = 2\cdot x - 3[/tex] and [tex]g(x) = 4 - x^{2}[/tex], then we have the following compositions:
[tex](f\,\circ\, g) (x) = 2(4-x^{2})-3[/tex]
[tex](f\,\circ\,g)(x) = 5-2\cdot x^{2}[/tex]
[tex](g \circ f) (x) = 4 - (2\cdot x-3)^{2}[/tex]
[tex](g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5[/tex]
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
We kindly invite to check this question on composition between functions: https://brainly.com/question/15070966
What is the probability that Zeke gets a sum of 7
Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
what is 86,503 when written in expanded form
Answer:
Eighty six thousand, five hundred and three
Step-by-step explanation:
Answer:
Expanded Notation Form:
86,503 =
80,000
+ 6,000
+ 500
+ 0
+ 3
Expanded Factors Form:
86,503 =
8 × 10,000
+ 6 × 1,000
+ 5 × 100
+ 0 × 10
+ 3 × 1
Expanded Exponential Form:
86,503 =
8 × 104
+ 6 × 103
+ 5 × 102
+ 0 × 101
+ 3 × 100
Word Form:
86,503 =
eighty-six thousand five hundred three
Step-by-step explanation:
:)
What is M less than A
Answer:
60°Step-by-step explanation:
Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.
Then we have:
m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60How do you choose the best point of view for your own narratives? A. You choose randomly. B. You think about how your choice of narrator will affect the story before you begin writing.C. You don't have to make a choice because it doesn't matter. D .You ask your teacher or a friend which point of view you should use.
Answer:
B.) You think about how your choice of narrator will affect the story before you begin writing, should be the most correct choice given. I hope this helps.
Pls help with thissssdd!!
Answer:
a. False
b. true
c. false
d. true
Step-by-step explanation:
Which of the following rational functions is graphed below?
-3 (x + 2) + 9 + 7x = 4x + 5 – 2
Step-by-step explanation:
- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2
- 3x - 6 + 9 + 7x = 4x + 5 - 2
- 3x + 7x + 9 - 6 = 4x + 5 - 2
4x + 3 = 4x + 3
At the zoo, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g=2c
Answer:
Step-by-step explanation:
3x+10=43 what is x to the what are the steps to equal X to the math equation
Answer:
x = 11
Step-by-step explanation:
When solving for x, you want to get the variable by itself on one side of the equation. The first step is to subtract 10 from both sides. 43-10=33. So, it should look like:
3x = 33
Divide both sides of the equation by 3 to get x alone. 33/3 equals 11. So x =11. Hope this helped and lmk if you have more questions!!
What is the next step. pls help!!
Divide and round to the nearest tenth: 89.05 divided by 0.41
Answer:
217.2
Step-by-step explanation:
You divide the two numbers. The tenths place is the number after the decimal. The answer without rounding is 217.19(other numbers). 9 raises 1 up to 2 so that's why the answer is 217.2.
Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?
Answer:
10 percent is the answer
is 5x+y^2=25 a linear equation
Answer:
I don't think it is
Step-by-step explanation:
I checked with desmos graphing calculator and the line produced is a parabola. I believe the y^2 made it into a parabola
No, 5x+y^2=25 is not a linear equation.
What is termed as the linear equation?A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it. A linear model in one variable has the standard form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation throughout two variables has the standard form Ax + By = C.For the given equation;
5x+y^2=25
the highest power of the equation is 2.
Thus, the given equation is a quadratic equation or 2 degree equation.
Therefore, the given equation is not a linear equation.
To know more about the linear equation, here
https://brainly.com/question/2030026
#SPJ2
Two angles form a linear pair. The measure of one angle is 3.5 times the measure of the other angle. Find the measure of each angle.
Smallest angle:
$\degree$
Largest angle:
$\degree$
Answer:
0.
¯¯¯¯¯¯¯¯¯¯¯¯
571428
…
…
angles per times
Step-by-step explanation:
Answer:
40° and 140°
Step-by-step explanation:
let one angle be x then the other is 3.5x
A linear pair sum to 180° , then
x + 3.5x = 180
4.5x = 180 ( divide both sides by 4.5 )
x = 40 and 3.5x = 3.5 × 40 = 140
The angles are 40° and 140°
Please help me solve this problem
Plot the points A=(2,0), B=(-1,0), C=(-1,3). Find the coordinates of
the point D such that ABCD is a square.
round to nearest ten 8,990.97
Answer:
8990
Step-by-step explanation:
The 9 underlined is in the tens place.
8990.97 ⇒ 8990
Since you can't round up, you replace everything after the underlined 9 with 0's.
8990.00 = 8990
Algebra question need it done
Answer:
y=2x
Step-by-step explanation:
Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?
Answer:
8 ounces
Step-by-step explanation:
16oz/lb
16*5= 80oz of cornstarch in bucket
4oz * 18students = 72oz
80-72= 8 oz remaining
The amount of cornstarch left is 8 ounce.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each student get = 4 ounce of cornstarch
Total number of student = 18 students
And, Total amount of cornstarch = 5 pound
Here,
Since, Amount of total cornstarch to student = Each student get × Total number of student
⇒ Amount of total cornstarch to student = 4 × 18
⇒ Amount of total cornstarch to student = 72 ounce
Since, 1 pound = 16 ounces
So, We get;
⇒ Total amount of cornstarch = 5 × 16
⇒ Total amount of cornstarch = 80 ounces
Thus, Amount of cornstarch left = 80 - 72
⇒ Amount of cornstarch left = 8 ounces
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
Triangles PQR and RST are similar right triangles.
image
Which proportion can be used to show that the slope of PR is equal to the slope of RT?
A.
3
−
7
−
4
−
(
−
7
)
=
−
5
−
3
2
−
(
−
4
)
B.
3
−
(
−
4
)
7
−
(
−
7
)
=
−
5
−
2
3
−
(
−
4
)
C.
−
4
−
(
−
7
)
3
−
7
=
2
−
(
−
4
)
−
5
−
3
D.
−
4
−
(
−
3
)
−
7
−
7
=
2
−
(
−
5
)
−
4
−
3
what is 47+50- __ - 32
This question doesn't make sense.Are you sure you wrote it correctly?
At a local pizza parlor, patrons have 2 choices of cheese and 8 choices of topping.
In how many different ways can a patron choose 1 type of cheese and 1 type of topping?
10
4
2
16
Answer: 16
Step-by-step explanation: i took the quiz
What is the smallest integer 160 needs to be multiplied by to give a square number
The smallest integer 160 needs to be multiplied by to give a square number is 15.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The smallest integer 160 needs to be multiplied by to give a square number;
60 x 15= 900
Hence,
The square root of 900= 30
Learn more about root;
https://brainly.com/question/11261431
#SPJ2
1 cup of mango and 3 cups of strawberries. And 2 cups of mango and 6 cups of strawberries are they equivalent
Answer:
Yes
Step-by-step explanation:
First off, let's use an example with the same equivalence:
[tex]\frac{12}{36} =\frac{16}{48}[/tex]
If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.
The constant of proportionality between the denominator and the numerator, if we use x and y, is:
[tex]y=3x[/tex]
So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.
Answer:
Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.
Step-by-step explanation:
The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.
Another example of this could be:
In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.
The recommended weight of an adult male can be approximated by the formula w = 5.5h - 220,
where w is weight in pounds and h is height in inches.
What is the approximate weight of a male that is 68 inches tall?
172 pounds
154 pounds
183 pounds
176 pounds
Answer:
154 pounds
Step-by-step explanation:
If h=68, then w=5.5(68)-220=374-220=154
Which ordered pair is a solution to the following:
Y= -2x + 5
Choose 1 answer:
A: Only (2,-9)
B: Only (-2,9)
C: both
D: neither
Answer:
Option B: Only (-2, 9)
Step-by-step explanation:
Given the linear equation, y = -2x + 5:
We'll plug in the given options to see which of the ordered pairs will satisfy the equation:
Substitute option A: (2, -9) into the equation:
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1 (False statement). Therefore, (2, -9) is not a solution.
Substitute option B: (-2, 9) into the equation:
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.
The other two options are irrelevant at this point since we've proven that option B is the correct answer.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data
Answer:
2,9457
Step-by-step explanation:
100+7% = 1.07
(1.07)^50 = 29.45702506
y = 1000(29.46)
y = 29,460