Answers
X(0, -6) X' (0,-6)
Y(-10, 4) Y'(10, 4)
Z(3, -1) Z' (-3,-1)
Hopes this helped!!!!
Related Questions
a line's y-intercept is 0, and its slope is 6/5. what is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
y = [tex] \frac{6}{5} x[/tex]
Explanation:
The equation of the line has a general formula:
y = mx + c
where:
m is the slope = 6/5
c is the y-intercept = 0
Substitute with the givens in the above formula to get the equation of the line as follows:
y = [tex] \frac{6}{5} x[/tex] + 0
y = [tex] \frac{6}{5} x[/tex]
Hope this helps :)
Is the sum of 3√2 and 4 √2 rational or irrational? Explain your answer.
Answers
Sum of 3√2 and 4√2 is an irrational number.
What are irrational numbers?" Irrational numbers are those numbers which cannot be written in fraction or rational form."
According to the question,
Suppose 3√2 + 4√2 be a rational number.
which can be expressed in form of (p / q) form such that 'q' does not divides 'p'
3√2 + 4√2 = (p / q)
⇒ 7√2 = ( p / q)
Squaring both the sides we get,
49 × 2 = ( p² / q² )
⇒ 2 ×(49q²) = p²
⇒ p is an even number
⇒p = 2k , k≠0
Therefore,
2 × ( 49q²) = (2k)²
⇒2×(49q²) = 4k²
⇒q² = (2k² / 49)
Both p and q are even which implies 'q' divides 'p'.
It is contradictory to our supposition,
Therefore, 3√2 + 4√2 is an irrational number.
Learn more about irrational number here
https://brainly.com/question/17450097
#SPJ2
Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.
Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260
The equation that gives Alyssa's daily earnings based on her total sales is_____ .
When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents _______ and the slope of the equation represents .
In this scenario, the y-intercept is________ .
fill in the blanks
here are the answer choices for the 1st one y=1.5x+80
y=0.
Answers
slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
slope = (110 -80)/(200 -10) = 30/200 = 0.15
The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
y = slope*x + y-intercept
To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.
The equation that gives Alyssa's daily earnings based on her total sales is
y = 0.15x +80
b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.
c) The slope of the equation represents Alyssa's commission rate.
d) The y-intercept is 80.
Answer: the same as the other person is righti
Step-by-step explanation:
A chess team has 26 members. However, only 16 members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team?
Answers
Answer:
6 boys
Step-by-step explanation:
if all the boys(x) were at the meeting but only half the (y), you would have two equations : x+y=26 and x+y/2 = 16. Solving the system gives you 6 boys 20 girls.
what is (x-5)(x-3)=10 as a quadratic equation
Answers
FOIL = First, Outside, Inside, Last
x(x) = x²
x(-3) = -3x
-5(x) = -5x
-5(-3) = 15
x² - 3x - 5x + 15 = 0
simplify by combining like terms
x² - 3x - 5x + 15 = 0
x² - 8x + 15 = 0
x² - 8x + 15 = 0 is your answer
hope this helps
Mark and Jill each have a $6500 loan with a loan term of 4 years. The interest rate on Mark’s loan is 3% and the interest rate on Jill’s loan is 4%. Mark’s monthly payment is $144 and Jill’s monthly payment is $147. How much more in interest will Jill pay than Mark?
A.
$144
B.
$412
C.
$556
D.
$968
Answers
What is the measure of ∠DEG?
A) 133°
B) 103°
C) 77°
D) 67°
Answers
Let me think for a second
To do this you have to find one of the missing angles.
Three angles of a triangle equal 180 so
180-47-30=103
A stright line has a degree of 180
180-103 = 77 which is the answer
A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.
What is the volume of the reduced prism?
Enter your answer in the box.
_cm³
Answers
To find the volume of the reduced prism, we divide everything by 2 and then find the volume:
6/2=3
8/2=4
4/2=2
Now, we multiply:
3*4*2=24
So, the volume of the reduced prism is 24cm cubed.
Hope this helps!
A rectangle has a perimeter of 24 feet‚ the width of the rectangle is 3ft. what is the length
Answers
2l + 6 = 24
2l = 18
l = 9
So the length is 9
Emma created the poster shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm. What would be the dimensions of the poster at fraction 1 over 4 times its current size? Length = 32 cm, width = 20 cm Length = 40 cm, width = 28 cm Length = 144 cm, width = 96 cm Length = 9 cm, width = 6 cm
Answers
Answer:
Length = 9 cm, width = 6 cm
Step-by-step explanation:
If the length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm.
Length = 36cm
Width = 24cm
One fourth the current size of the rectangle will be;
New length= 1/4×36 = 9cm
New width = 1/4 × 24 = 6cm
The new dimension of the poster is therefore 9cm×6cm
Length = 9cm
Width = 6cm
Let f(x)=−1/2(x+2)^2+5 . What is the average rate of change for the quadratic function from x = −3 to x = 1? Enter your answer in the box.
Answers
Final answer:
The average rate of change of the function f(x) from x = -3 to x = 1 is -0.625, calculated using the values of f(-3) and f(1) in the average rate of change formula.
Explanation:
The average rate of change of a function f(x) from x = a to x = b is computed by finding the difference in function values at these points and dividing by the difference in x values, following the formula (f(b) - f(a)) / (b - a). To apply this to the quadratic function [tex]f(x) = -1/2(x + 2)^2 + 5[/tex] from x = -3 to x = 1, we evaluate f at both -3 and 1 and use these results in our formula.
First, find f(-3):
[tex]f(-3) = -1/2(-3 + 2)^2 + 5 = 4[/tex]
Then, find f(1):
[tex]f(1) = -1/2(1 + 2)^2 + 5 = 1.5[/tex]
Now, we calculate the average rate of change:
(f(1) - f(-3)) / (1 - (-3)) = (1.5 - 4) / (1 - (-3)) = -2.5 / 4 = -0.625
Therefore, the average rate of change of the function f(x) from x = -3 to x = 1 is -0.625.
−3z−(−z−2) Simplify to create an equivalent expression.
a. −4z+2
b. −2z−2
c. −2z+2
d. 4z+2
PLEASE HELP! :)
Answers
In order to find the expression equivalent to our given expression, we have to simplify our given expression :)
-3z + z + 2
**Remember : the "z" and "2" become a positive because a negative times a negative is always a positive!**
Now, add like terms.
(-3z + z) + 2
Simplify.
-2z + 2
Look at our given answer choices.
Our answer is c. -2z + 2
~Hope I helped!~
how to slove this more complex negative exponent problem?
Answers
When an expression or a number is raised to the negative exponent, you have to reciprocate the expression or the number.
In this problem, the expression is raised to the power of -2
Therefore, the expression would become like this after reciprocating:
1/ (3x^2) ^2
Simplifying the expression:
1/ 9x^4
Felicia put $85 into a CD that pays 3.8% interest. According to the rule of 72, approximately how long will it take for her money to double ?
Answers
Answer:
18.9 years.
Step-by-step explanation:
We have been given that Felicia put $85 into a CD that pays 3.8% interest.
We know that rule of 72 gives us the time it will take an amount to be double, when we divide 72 by the interest rate.
Upon dividing 72 by 3.8 we will get,
[tex]\text{Time it will take to double Felicia's money}=\frac{72}{3.8}[/tex]
[tex]\text{Time it will take to double Felicia's money}=18.9473684\approx 18.9[/tex]
Therefore, it will take approximately 18.9 years for Felicia's money to double.
Find the unit rate.
625 revolutions in 223 seconds
The unit rate is ___
revolutions per second.
Answers
Step-by-step explanation:
Candy is at the balloon shop and sees that 10 balloons cost 0.15 he needs 50 balloons to decorate his room how much will 50 balloons cost?
Answers
5 * 0.15 = 0.75
it will cost 75 cents
How would six billion, nine hundred thirty-six thousand, fourteen be written in standard form? A.693,614B.6,936,014C.6,000,936,014D.6,936,000,014
Answers
6,000,936,014
The answer would be C.
Hope this helps!
Two similar parallelograms have areas of 18 in2 and 32 in2. Find the ratio of their perimeters.
Answers
So, you would simplify the ratio of 18/32 to 9/16.
Then take the square root of 9 and 16 separately to find the ratio of the perimeters.
Square root of 9 is 3.
Square root of 16 is 4
So, the ratio of the perimeters is 3 in/4 in.
(4x)^-2 (4x)^3(4x)^9= (4x)
Answers
4x is raised to -2, to 3, and to 9.
When you multiply expressions with the same base, keep the same base, and add the exponents.
-2 + 3 + 9 = 10
Answer: (4x)^10
The answer is 4x to the 10th power
ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil. He only wants to make 1 loaf. Ricardo makes a model to find out how much oil he needs to use. He folds a piece of paper into three parts and shades two parts. Then he folds the paper into four parts and shades 1/4 of the shaded part. Ricardo decides he needs 1/4 cup of olive oil. Is he right? Explain
Answers
Answer:
Ricardo is wrong.
Step-by-step explanation:
Ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil.
Now we are given that he wants to make 1 loaf.
So, 4 loaves requires cup of oil = [tex]\frac{2}{3}[/tex]
So, 1 loaf requires cup of oil = [tex]\frac{\frac{2}{3}}{4}[/tex]
= [tex]\frac{2}{12}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus he requires 1/6 cup of oil to make 1 loaf .
While he decided he needs 1/4 cups .
So, Ricardo is wrong
Just #10 please!! Due soon too!!
Answers
=========================================================
Explanation:
The goal is to find the area of the overall trapezoid (trapezoid MNRS)
To do this, we need three things:
A) The bottom horizontal length NR
B) The top horizontal length MS
C) The height of the trapezoid; the vertical distance from the bottom horizontal piece to the vertical horizontal piece
We don't know (A) but we know (B). The length of MS is 18 ft
We don't know (C), but we can find it fairly easily
Area of triangle TPQ = 84
84 = (base)*(height)/2
84 = 12*h/2
84*2 = 12*h
168 = 12*h
12h = 168
h = 168/12
h = 14
The height of triangle TPQ is 14 feet
The height of trapezoid MNRS is 14 feet
The hardest part will be figuring out the length of NR
We're told that NP, PQ and QR are in a ratio of 2:1.5:1
this means
NP = 2*k
PQ = 1.5*k
QR = 1*k
where k is some positive number
From the diagram we see that PQ is 12 ft, so
PQ = 1.5k
1.5k = 12
k = 12/1.5
k = 8
leading to...
NP = 2*k = 2*8 = 16
PQ = 1.5*k = 1.5*8 = 12
QR = 1*k = 1*8 = 8
So,
NR = NP+PQ+QR
NR = 16+12+8
NR = 36
We finally have enough to find the area of the trapezoid
area of trapezoid = (height)*(base1+base2)/2
area of trapezoid = (14)*(18+36)/2
area of trapezoid = (14)*(54)/2
area of trapezoid = 756/2
area of trapezoid = 378 square feet
I WILL MAKE BRAINIEST :)
Joyce wants to mix granola and raisins together to make a snack for her class. Granola costs $2 per pound and raisins cost $4.50 per pound. Joyce is willing to spend $37.50 and wants to make 15 pounds of trail mix.
Which system of equations could Joyce use to figure out how many pounds of granola (g) and raisins (r) she should buy?
A) 35 pounds
B) 36 pounds
C) 54 pounds
D) 72 pounds
Answers
Jack is sharing 3 bananas with 3 Friends. Which expression represents the amount each one will get if they share them equally?
Answers
If so then each friend would get one banana. because 3/3=1
Is this what you are asking?
One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers.
Answers
Let x = the larger number and y = the smaller number.
We know that the larger number is 406 larger than the smaller one; therefore
x = y + 406
We also know
[tex]\frac{x}{y}=3\frac{66}{y}[/tex]
Substituting for x we have:
[tex]\frac{y+406}{y}=3+\frac{66}{y}[/tex]
When we convert mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator:
[tex]\frac{y+406}{y}=\frac{3y+66}{y}[/tex]
Since the denominators are the same, we can just set the numerators equal
y+406=3y+66
We cannot have a variable on both sides, so we will subtract y from both sides:
y+406-y=3y+66-y
406=2y+66
Subtract 66 from both sides:
406-66=2y+66-66
340=2y
Divide both sides by 2:
340/2 = 2y/2
170=y
The smaller number is 170. Since the larger number is 406 larger, then it is 170+406=576.
To find the numbers, we can set up a system of equations and solve it using substitution.
Explanation:To find the numbers, we can set up a system of equations based on the given information. Let's call the bigger number 'x' and the smaller number 'y'. We know that x is bigger than y by 406, so we can write the equation x = y + 406. We also know that when x is divided by y, the quotient is 3 and the remainder is 66. This can be expressed as the equation x = 3y + 66.
We can solve this system of equations by substitution. First, we substitute the expression for x from the first equation into the second equation:
3y + 66 = y + 406
Next, we can subtract y from both sides of the equation:
2y + 66 = 406
Then, we subtract 66 from both sides:
2y = 340
Finally, we divide both sides by 2 to solve for y:
y = 170
Now we can substitute the value of y back into the first equation to find x:
x = 170 + 406 = 576
Therefore, the numbers are 576 and 170.
Learn more about Solving Systems of Equations here:https://brainly.com/question/29050831
#SPJ12
Bill spent a total of $95 at the grocery store. Of this amount, he spent $38 on fruit. What percentage of the total did he spend on fruit?
Answers
38/95= 0.4
0.4 * 100 = 40
Noah bought 1/2 pound of candy to share with his friends.They ate 3/8 pound of the candy.How much candy does Noah have left?
Answers
then 4/8-3/8=
1/8 of a pound left
Total pound of candy with Noah = [tex] \frac{1}{2} [/tex]
Total pound of candy eaten by his friends = [tex] \frac{3}{8} [/tex] of [tex] \frac{1}{2} [/tex]
= [tex] \frac{3}{8} \times \frac{1}{2} [/tex]
= [tex] \frac{3}{16} [/tex]
Pound of candy left with Noah = [tex] \frac{1}{2} - \frac{3}{16} [/tex]
= [tex] \frac{8-3}{16} [/tex]
= [tex] \frac{5}{16} [/tex] pound
Therefore, [tex] \frac{5}{16} [/tex] pound of candy is left with Noah.
If L
is 30
units long and W
is 10
units long, how long is the diagonal to the nearest tenth?
Answers
Answer:
Step-by-step explanation:
10 times as much as 0.5 is
Answers
10 x 0.5 = 5
That is your answer.
Enjoy.
~Isabella
5 is 10 times greater than 0.5
Solve – 4y – 3 + 3y = 8 – 2y – 15 interpret the results
Answers
y-3=-7
y=-4
This is the answer to the equation
help me please i do not understand it.
Answers
Explanation:
1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.
2) Given two points you can find the slope (using the two points) and then the equation using one of the points.
3) slope = m = Δy / Δx
points given (3,10) , (0,4)
m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2
4) equation
y - y2
-------- = m
x - x2
y - 4
---------- = 2
x - 0
=> y - 4 = 2 (x - 0)
y - 4 = 2x
y = 2x + 4