Answer:
First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.
2y = - 6x + 8
y = (-6x/2) + 8/2
y = - 3x + 4
The current slope is -3 or -3/1
The negative reciprocal is 1/3
A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
Which statements are true? Check all that apply.
The population density for Montana can be found using the ratio 1,005,141:145,552.
The population density for Oregon can be found using the ratio 95,997:3,899,353.
The population density for Hawaii is greater than the population density for Florida.
The state with the smallest population density is Oregon.
The state with the smallest population density is Montana.
Answer:
It's the first and last one
Step-by-step explanation:
I just did it
Answer:
A) The population density for Montana can be found using the ratio 1,005,141:145,552.
E)The state with the smallest population density is Montana.
Step-by-step explanation:
solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
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Eureka Math - 7th grade
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5.8 Solve two-step equations: word problems D2Y
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Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit
$32 for each hockey stick
Step-by-step explanation:
71+25=96
96 divided by 3= 32Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.
Given that Zack sold 3 old hockey sticks and earned a total amount of money.
He spent $25 of his earnings on a pair of used hockey gloves.
After buying the gloves, he had $71 remaining.
Now, we need to find out how much Zack received for each hockey stick.
Let's assume the amount he received for each hockey stick is "x" dollars.
Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick
Total earnings = 3x
Zack spent $25 on gloves and had $71 remaining, so we can write this equation:
Total earnings - Amount spent = Remaining money
3x - 25 = 71
Now we can solve for x (the amount received for each hockey stick):
3x - 25 = 71
Add $25 to both sides:
3x = 96
Divide both sides by 3:
x = $32
So, Zack received $32 for each hockey stick he sold.
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The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1
Answer: y = 2x -2
Step-by-step explanation: parallel is same slope diff y intercept
y = 2x
4 = 2(3) + x
4 = 6 + x
x = -2
Peter says, "If you subtract 14 from my number and multiply the difference by -7 , the result is -91 ." What is Peter's number?
Answer:
x = -77
Step-by-step explanation:
based on the given conditions
x - 14 = -91
x = -91 + 14 then calculate the difference between -91 - 14 = -77
thus x which is peters number = -77
Please help with showing the points in the table
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
please help! due tmr
Answer:
One solution
Step-by-step explanation:
3x+x+2=8x-4x+2
Combine like terms.
4x+2=4x+2
Solve for x
4x+(-4x)+2=4x+(-4x)+2
2=2
This equation has one solution because 2 only equals 2 and will not equal any other number.
Help me with this problem plzzz
Answer:
definition of perpendicular
Step-by-step explanation:
typically when 2 lines cross they are 90 degrees or other word... perpendicular
William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what equation represents his claim? What is Willaim's current age?
Answer:
x + 15 = 3 (x - 5)
William’s current age: 15. Years old
Step-by-step explanation:
x + 15 = 3(x-5)
x + 15 = 3x - 15
15 + 15 = 3x - x
30 = 2x
x = 15
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit
Answer:
2.93 repeating
Step-by-step explanation:
What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)
Answer:
[tex]m=− 32 ≈−0.666666667[/tex]
Step-by-step explanation:
I need the answer for this
Answer:
JK = 12.6
Step-by-step explanation:
Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO
25.2/66 = JK/33
33(25.2/66) = JK
12.6 = JK
The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
158 divided by 37 I don’t get it what is the answer
Answer:
4.2702702703
=
4 Remainder 10
Step-by-step explanation:
158 divided by 37 = 4.270
The result of 158/37 is a non-terminating, repeating decimal.
The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .
158 divided by 37 in decimal = 4.270
158 divided by 37 in fraction = 158/37
158 divided by 37 in percentage = 427.02702703%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.
Answer:
4.2703
Step-by-step explanation:
There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?
Answer:
Each women purchased 32 towels.
Step-by-step explanation:
Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
The correct option is D f⁻¹(x) = 2 + √(x + 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function of a function f in mathematics is a function that reverses the operation of f.
The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,
f⁻¹(x) = 2 + √( x + 2).
Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).
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and please do not scam
Answer:
Answer: 8PM and 8AM
Step-by-step explanation:
2 |x-2| -12 = 0
2 |x-2| = 12
|x-2| = 6
x-2 = 6
x= 8
12 noon + 8 Hrs
= 8PM
x-2 = -6
x = -4
12 noon - 4 hrs
= 8AM
What is the integral of 2x?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Integral of 2x is :
[tex]{x}^{2} + c[/tex]Question
The formula for simple interest is I=Prt.
Solve the formula for t.
We can solve for t by making it the subject of the equation.
since I = Prt [divide both sides by Pr]
∴ I = t PrWhat is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?
Step-by-step explanation:
..............
=> 3x + 4y = 12
Bill has two dollars and 2 cents. How much money does he have?
Answer:
He has $2.02
Step-by-step explanation:
You answered the question in the first sentance.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds
Answer:
A) 7.5 seconds
Step-by-step explanation:
Height of the ground is zero
-16t^2 + 120t = 0
Divide both sides by 16
-t^2 + 7.5t = 0
Factor out t
t(-t + 7.5) = 0
From the zero product rule
t = {0, 7.5}
0 would be time of launch
7.5 is time back to the ground
If x = 3, find the value of x2 + 2x
Answer:
15
Step-by-step explanation:
[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]
3 · 2 = 6
2 · 3 = 6
6 + 6 = 12
Have a luvely day!
A functionf(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
1/3× 21/4-11/2÷22/5?? .btw they are improper fractions
[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]
Answer:[tex] \frac{1}{2} [/tex]
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answer:
35
Step-by-step explanation:
the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3
The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³
Volume of a pyramidThe volume of a pyramid is decribe as follows:
volume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
B = 5² = 25 cm²
volume of the pyramid = 1 / 3 × 25 × 7
volume of the pyramid = 175 / 3
volume of the pyramid = 58.3333333333
volume of the pyramid = 58. 33 cm³
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Answer:
C. 58 1/3 cm^3
Step-by-step explanation: