Answers
Answer:
Average rate of change; 1
Step-by-step explanation:
[tex]g(x) = x^{2} + 10x + 20[/tex]
[tex]-9\leq x\leq 0[/tex]
1. Find the end-points of the given interval
Input (-9) and (0) into the equation.
Input (-9)
[tex](-9)^2 + 10(-9) + 20[/tex]
81 - 90 + 20
11
point is; (-9, 11)
Input (0)
[tex](0)^2 + 10(0) + 20[/tex]
0 + 0 + 20
20
point is; (0, 20)
2. Find the slope
Now find the slope between the two points, the equation for the slope is;
[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex]
Substitute in the points;
[tex]\frac{11-20}{0-(-9)}[/tex]
-[tex]\frac{9}{9}[/tex]
= -1
Related Questions
What does a formal proof need to have?
A.) Written in paragraph form.
B.) Justification for each step.
C.) Written in two-columns form.
Answers
Answer:
B. Justification for each step
Step-by-step explanation:
Answer:
B. Justification for each step
Step-by-step explanation:
A contractor bought 8.2 ft^2 of sheet metal. He had used 4.9ft^2 so far and has $ 59.40 worth of sheet metal remaining. The equation 8.2x-4.9x=59.4 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answers
Answer: Each square foot of metal costs $14.97
Step-by-step explanation:
He initially had 8.2 ft^2 of metal.
He used 4.9ft^2 of metal, then he now has:
8.2 ft^2 - 4.9 ft^2 = 3.3 ft^2
And this 3.3 ft^2 is whort $49.40
Then if X is the cost per square foot, we have the equation:
3.3ft^2*X = $49.40
We can solve it for X as:
X = ($49.40/3.3ft^2) = $14.97 ft^-2
This means that each square foot costs $14.97
Given f(x)=5x+4, solve for x when f (x) = -6
Answers
If Nancy uses 1 74 tablespoons of coffee to make 10 cups of coffee, how
much would she need to make one cup of coffee?
Answers
Answer:
17.4 table spoons
Step-by-step explanation:
174 Tbsp = 10 cups
divide 10 cups by ten for 1 cup
x Tbsp = 1 cup
you divide both sides by ten using division property of equalit and get
17.4 Tbsp = 1 cup
Determine whether the following statement is true or false. Explain.
The graph of y = |x-2|- 2 is a translation two units to the right and two units upward of the graph of y = |x|.
Choose the correct answer below.
A. True, because the graph of y = f(x - h) + k is the translation of the graph of y = f(X) |k| units upward if k= 0 or downward if k < 0, and h units to the right if h> 0 or to the
left if h < 0.
B. True, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) In| units upward if h = 0 or downward if h < 0, and k units to the right if k> O or to the
left if k < O
C. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) |k| units to the right if k>0 or to the left if k < 0, and h units upward if h downward if h < 0.
D. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) h units to the right if h > 0 or to the left if h < 0, and k units upward if k>downward if k < 0.
Answers
Answer:
D. False
Step-by-step explanation:
The -2 that's beside the x, close by, inside the absolute value, then the graph is shifted (slid/translated) to the right two units.
The -2 that is tacked on to the end of the equation slides the graph DOWN two units.
What is the value of the expression below after it has been completely simplified?
-2 |0.25 - 0.5| + 2 = ___
Answers
Answer:
1.5
Step-by-step explanation:
A recipe calls for 2 cups of flour and 3 eggs and it serves 8 people. If Mrs. Nguyen wants to make the recipe for her class of 32 students, how much flour and how many eggs should she use?
Answers
Answer:
She would need 8 cups of flour and 12 eggs.
Step-by-step explanation:
32 divided by 8 = 4 so you will then you multiplication and times everything in the recipe by 4.
UP Which number below is a prime number? O A. 78 B. 43 O C. 55 D. 48
Answers
Answer:
Hello. 43 is prime. All the other numbers are composite.:-)
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
So subtract both values given from 180
180 - 111 = 69, 69 - 41 = 28
X = 28
Will mark Brainliest just answer the following questions
Answers
Answer:
5,0
Step-by-step explanation:
The answer is 5,0
why would you choose a mortgage over other methods of credit?
Answers
Answer: The only reason would be the benefits of a mortgage plan. which includes, helping you to maintain your credit score, money available to you when need for curtain life decisions, and there are many tax benefits that come with a mortgage plan! Hope this helps! best of luck!
If the binomial (x−7) is a factor of the polynomial function f(x), which statement must be true?
Answers
If the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(7) = 0
How to determine the true statement?The given parameters are
The binomial (x−7) is a factor of the polynomial function f(x)
The above means that
When the function f(x) is divided by x - 7, it has no remainder
So, we have
x - 7
Set to 0
x - 7 = 0
Add 7 to both sides
x = 7
Substitute x = 7 in f(x) = 0
f(7) = 0
Hence, if the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(7) = 0
Read more about polynomial function at
https://brainly.com/question/7693326
#SPJ1
A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. What is the sea lion's position in relation to sea level?
Answers
Answer:
65 feet below sea level.
Step-by-step explanation:
With the information provided, we can create the following equation for the position of the sea lion (p)
p = 3x - 10
In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...
p = (3 * 25) - 10
p = 75 - 10
p = 65
Finally, we can see that the sea lion's position is 65 feet below sea level.
Answer: 3(–25) – (–10)
Step-by-step explanation: Answer on Edge...
The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?
Answers
Answer:
height x=21.5cm
Step-by-step explanation:
Surface area = 2+ area of triangles + area of the 3 rectangles
SA = 204
204 = 4*3 + x*5 + 5*4 + x*3
204 = 12 +20 +8x
204 -12-20 = 8x
172/8 = x
21.5 = x
What is the answer to 13 and 16 (Giving brainliest)
Answers
Answer:
(b) 17 1/3
Step-by-step explanation:
How do i graph q(x)=-3x
Answers
Mrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?
Answers
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
Find the value of f (-2)for the function f (c) = 5x+8
Answers
F(-2) means to replace x in the equation with -2 and then solve.
5(-2) +8 = -10 + 8 = -2
The answer is -2
How would I translate 2=x-9 into a verbal sentence?
Answers
Answer:
Two equals X minus Nine
Lin bought x grams of sugar. Jada bought 3⁄4 more than that. what is the equation that will represents the relationship between the amount of sugar that Lin bought, x, and the amount of sugar that Jada bought, y.
Answers
Answer:
y = 7/4xStep-by-step explanation:
Lin bought x grams of sugar.
Jada bought 3⁄4 more than Lin bought.
The equation:
y = x + 3/4x ⇒ y = 7/4xWhat is the slope of the line shown in the graph above ?
Answers
Answer:
Step-by-step explanation:
1/2
rise/run
count upward from -2 then right 4
then get your answer
Noah invested $8,600 in an account paying an interest rate of 2.4% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $10,900?
Answers
Answer:
11 years
Step-by-step explanation:
find the percent of $8,600 that would be $206
then subtract $8,600 from $10,900 that would be $2,300
finally devide 2,300 and 206 to get 11 years
Answer:
10 Years
Step-by-step explanation:
What is the domain of the function f(x) = + 5?
f(x) ≥ –9
f(x) ≥ –5
f(x) ≥ 5
f(x) ≥ 9
Answers
Answer:
The domain of the function is:
[tex]\mathrm{Domain\:of\:}\:\sqrt{x+5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\sqrt{x+5}[/tex]
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
From the function, it is clear that for the values x<-5, the function becomes undefined.
For example, for x=-6
√x+5 = √-6+5 = √-1 which is undefined
and for x=-5
√x+5 = √5+5 = √0 which is defined
Thus, the domain of the function is:
[tex]\mathrm{Domain\:of\:}\:\sqrt{x+5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}[/tex]
Answer:
c
Step-by-step explanation:
But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet
Answers
Answer:
IT'S 22 JUST FOUND OUTStep-by-step explanation:
What is a definition of a Line ?
Answers
Answer:
noun
1. a length of cord, rope, wire, or other material serving a particular purpose.
2. a long, narrow mark or band.
verb
1. stand or be positioned at intervals along.
2. mark or cover with lines.
need help please <33!!!
Answers
Answer:
i tink its 65
Step-by-step explanation:
2x=130
x=65
jlk = 65 degrees
110$ for 16ft find the unit rate
Answers
Answer:
6.875 dollars per feet
Step-by-step explanation:
110/16
6.875
look at the picture, pls help!!
Answers
Answer:
f(-1) = 12
f(1) - g(1) = 8
g(x) = 4 when x = 2
f(x) = g(x) when x = 3
Step-by-step explanation:
Read the graph.
Find the x - values on the x - axis and identify what y level the line is at.
The volume of a cube is 1,000cm³. What is the length of an edge?
Answers
10 x 10 x 10 = 1000
Length of edge = 10cm
Solve for x plz. Ens
Answers
Answer:
9
Step-by-step explanation:
triangles always = 180 degrees
we know there is a 90 degree angle so 180-90=90
we know the other angle is 20 degrees so you do 90-20 which equals 70
now we know that the angle with x equals 70
so then you do 70-16 which equals 54
now just divide 54 by 6 and you get 9
so x=9
hope this helped ;)