Answer:
x=17
Step-by-step explanation:
1: Simplify both sides of the equation.
8x−9+53=180
8x+−9+53=180
(8x)+(−9+53)=180(Combine Like Terms)
8x+44=180
8x+44=180
2: Subtract 44 from both sides.
8x+44−44=180−44
8x=136
3: Divide both sides by 8.
(8x=136 )/8
x=17
What does a formal proof need to have?
A.) Written in paragraph form.
B.) Justification for each step.
C.) Written in two-columns form.
Answer:
B. Justification for each step
Step-by-step explanation:
Answer:
B. Justification for each step
Step-by-step explanation:
How would I translate 2=x-9 into a verbal sentence?
Answer:
Two equals X minus Nine
look at the picture, pls help!!
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.
What is the domain of the function f(x) = + 5?
f(x) ≥ –9
f(x) ≥ –5
f(x) ≥ 5
f(x) ≥ 9
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:
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?
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:
The volume of a cube is 1,000cm³. What is the length of an edge?
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?
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
What is the value of the expression below after it has been completely simplified?
-2 |0.25 - 0.5| + 2 = ___
Answer:
1.5
Step-by-step explanation:
What is the answer to 13 and 16 (Giving brainliest)
Answer:
(b) 17 1/3
Step-by-step explanation:
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.
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.
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
Answer:
IT'S 22 JUST FOUND OUTStep-by-step explanation:
If the binomial (x−7) is a factor of the polynomial function f(x), which statement must be true?
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
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Find the range of the following piecewise function.
[0,11)
(-4,6]
(0,11]
[-4,6)
Given:
The piecewise function is
[tex]f(x)=\begin{cases}x+4 & \text{ if } -4\leq x<3 \\ 2x-1 & \text{ if } 3\leq x<6 \end{cases}[/tex]
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions [tex]f(x)=x+4[/tex] and [tex]f(x)=2x-1[/tex] as linear functions.
Starting value of [tex]f(x)=x+4[/tex] is at x=-4 and end value is at x=3.
Starting value: [tex]f(-4)=-4+4=0[/tex]
End value: [tex]f(3)=3+4=7[/tex]
Starting value of [tex]f(x)=2x-1[/tex] is at x=3 and end value is at x=6.
Starting value: [tex]f(3)=2(3)-1=5[/tex]
End value: [tex]f(6)=2(6)-1=11[/tex]
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
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?
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
Find the value of f (-2)for the function f (c) = 5x+8
F(-2) means to replace x in the equation with -2 and then solve.
5(-2) +8 = -10 + 8 = -2
The answer is -2
The measures of the angles of a triangle are shown in the figure below. Solve for x.
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?
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
I have to take your car to the shop for a weird noise the mechanic charges a flat rate of $100 for looking at your car everything in our to fix the problem write an algebra expression where p represents how much you have to pay at h is the number of hours it will take to get your car fixed
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
What is a linear equation?
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.
Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,
P = 50x + 100 where p is amount
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
learn More about of linear equation here
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please help! ill give brainliest and also please show work
Answer:
C. 445
Step-by-step explanation:
Directly proportional means that y = kx for some constant k. So you can start by substituting;
712 = 8k
k = 89
y = 5(89)
y = 445
Hope this helps! :)
Solve for x plz. Ens
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 ;)
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?
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...
What is the slope of the line shown in the graph above ?
Answer:
Step-by-step explanation:
1/2
rise/run
count upward from -2 then right 4
then get your answer
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.
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 = 7/4xHow do you solve it and what is the answer
Answer:
30
Step-by-step explanation:
All triangles have a measure of 180 on the inside. I found this by taking 180 and subtracting it by the sum of 53 and 97 which is 150. 108-150=30.
Answer:
The answer is 30
the inside of a triangle always adds up to 180.
Step-by-step explanation:
97 + 53 = 150
180-150 + 30
Will mark Brainliest just answer the following questions
Answer:
5,0
Step-by-step explanation:
The answer is 5,0
What is a definition of a Line ?
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.
UP Which number below is a prime number? O A. 78 B. 43 O C. 55 D. 48
Answer:
Hello. 43 is prime. All the other numbers are composite.:-)
Step-by-step explanation:
Given f(x)=5x+4, solve for x when f (x) = -6
why would you choose a mortgage over other methods of credit?
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!
How do i graph q(x)=-3x