Consider the following pair of equations.
Y = x + 4
Y = -2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write down the solution in (x, y) corn.
Answer:
(- 2, 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 4 → (1)
y = - 2x - 2 → (2)
Substitute y = x + 4 into (2)
x + 4 = - 2x - 2 ( add 2x to both sides )
3x + 4 = - 2 ( subtract 4 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
Substitute x = - 2 into either of the 2 equations abd evaluate for y
Substituting into (1)
y = - 2 + 4 = 2
solution is (- 2, 2 )
Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?
Answers are:
A) 14
B) 15
C)16
D)20
HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
I NEED HELP ASAP PLZZZZ
Answer:
B. 30 soda cans
Step-by-step explanation:
Range = max number - min number = 40 - 10 = 30
Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.
Answer:
the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers
1.A
2.B
3.D
4.A
5.B
6.D
7.A
hopes this helps everyone
The hyperbola has two vertices at (-2,0) and (2,0)
We have given that the equation
[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]
What is the equation of the hyperbola?[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]
Compare the above equation of the hyperbola with given equation
therefore a=2
vertices are (-a,0) and (a,0)
Therefore the vertices are (-2,0) and (2,0)
See the graph of the hyperbola in link given below.
The hyperbola has two vertices at (-2,0) and (2,0)
To learn more about hyperbola visit:
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A can has a radius of 3 inches and a height of 8 inches. If the height is doubled, how would it affect the original volume of the can?
Answer:
In the formula, the radius is being squared. That means that doubling the radius of the cylinder will quadruple the volume. ... If we put all of that information together (doubling the radius quadruples the volume, while doubling the height doubles the volume), we find that the volume will be 8 times as large
SIMPLE QUESTION!!! ILL MARK BRAINLIEST
Answer:
-2asmall2 + 4a - 8
Step-by-step explanation:
What is the y-intercept of the line graphed on the grid?
(9,2)
(-5,-5)
Help pleaseeee besties
If anyone can help :)
Answer:
irrational
Step-by-step explanation:
reason
[tex] - \frac{5}{52} [/tex]
The following graph shows a proportional relationship
What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=
Answer:
The constant of proportionality between 'y' and 'x' in the graph is 0.75
Step-by-step explanation:
The constant of proportionality is the constant ratio between two quantities that are directly proportional.
When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other
From the graph we have;
When x = 0, y = 0, all graphs of directly proportional relationships have x = 0 when y = 0
However;
When x = 2, y = 1.5
When there is an 100% increase, we have;
When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3
Therefore, when x = 4, y = 3
The constant of proportionality = The ratio between each 'y' and 'x' value
∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75
Therefore;
The constant of proportionality between 'y' and 'x' in the graph = 0.75.
Please help! The answer to this is 2 but I don't know how to actually solve it so can someone please show the work for this?
log₇49
Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
========================================================
Explanation:
Recall that any exponential equation of the form [tex]b^x = y[/tex] can be written into its equivalent log form of [tex]\log_{b}(y) = x[/tex]. Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.
In your case, we have b = 7 and y = 49. This means [tex]\log_{7}(49) = x[/tex] is the same as [tex]7^x = 49[/tex] when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get [tex]7^x = 7^2[/tex]. The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.
-------------------
We could follow a different approach. We could apply the change of base formula. The change of base formula is
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}[/tex]
On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.
So we would then say...
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\[/tex]
Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.
What is the value of the expression below? 8 + 24 / 2 X 6 - 4
the answer is 76 but i just need to know the step by step explanation
8 + 24 / 2 X 6 - 4
following order of operations divide 24 by 2:
8 + 12 x 6 -4
Multiply 12 by 6:
8 + 72 -4
Add 8 and 72:
80-4
Subtract to get 76
The jogging track is 5/9 of a mile long. If Ashley jogged around it 4 times, how far did she run? A.4/9 B.20/9 C.9/4 D. 4 5/9
Answer:
I think it's B
Answer:
track is 5/9 of a mile long.....she jogged around it 4 times
Step-by-step explanation:
so Ashley ran ( 5/9 * 4) = 20/9 miles <==
you are charged 6% salex tax. You purchase a new bicycle and pay $27 in sales tax what is the purchase price of the bicycle
Answer:
33$
Step-by-step explanation:
Beacuse when you just ad 27 plus 6 not 6%
Please Help!!
One of the longer sides of a kite is 39 feet. One of the shorter sides is 25 feet. Half the length of the shorter diagonal is 15 feet. what is the area of the kite? (Round to whole if necessary)
Answer:
487.5 sq ft
Step-by-step explanation:
The conversion of stored potential energy into kinetic energy can also be harnessed to power homes, factories and entire cities. Which example from the text supports this conclusion?
A the softball pitcher
B the slingshotting comet
C the archer
D the Hoover Dam
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What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
Answer:
A, -1/13
Step-by-step explanation:
slope = rise / run
(12-7)/(39-12)
5/-65
simplify: 1/-13
What are the steps, in the correct order, to write and solve an equation? Check all that apply *
Mark only one oval.
1. Identify the variable.
2. Identify the operation.
3. Write an equation.
4. Solve the equation.
5. Check the solution.
2. Solve the equation.
3. Check the solution.
( NO LINKS BESTYS )
The correct order to write and solve an equation is,
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the steps to write and solve an equation.
Here, All the steps are,
1. Identify the variable.
2. Identify the operation.
3. Write an equation.
4. Solve the equation.
5. Check the solution.
2. Solve the equation.
3. Check the solution.
Hence, The correct order to write and solve an equation is,
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
Learn more about the mathematical expression visit:
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Which equation could be used to solve the question below?
Scott collected p pins at the parade. He collected 16 pins at the fair and 13 pins at camp. Now, he has 62 pins. How many pins did Scott collect at the parade?
A.
p - 16 + 13 = 62
B.
p + 16 + 13 = 62
C.
p - 16 - 13 = 62
D.
p + 16 - 13 = 62
Answer:
B
Step-by-step explanation:
62 pins in total = 16 pins at the fair + 13 pins at camp + x pins collected in the parade
Scotty buys 12 cans of Pepsi for $6. At this rate, how much would he pay for 48
cans of Pepsi.
Answer:
24 cans.
Step-by-step explanation:
6$ for each 12 cans, 12x4=48, so 6x4=24.
Answer:
$24
Step-by-step explanation:
Hope this helped you!
Explain how to find a measure of angle ACD
without repositioning the protractor
Answer:
60 degrees
Step-by-step explanation:
ACD and ACB are complementary angles. Find ACB=30 degrees. Subtract 30 from 90 degrees. ACD=60 degrees.
Answer:
ACD=60
BCA=30
BCD=90
90-30=60
Help me plz due in a little bit
Answer: vertical & x = 25
75 = 4x - 25
100 = 4x
x = 25
The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint the sign if its diameter measures 36 inches?
Answer:
The answer is $25
Explanation:
area of a circle = pi x r^2
using 3.14 for pi
radius = 36/2 =18
area = 3.14 x 18^2 = 1017.36 square inches
1 sq ft = 144"
1017.36/144 = 7.065 sq ft
7.065*3.50 = $24.73 to the nearest dollar = $25
After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius
PLEASE HELP I DONT KNOW WHAT THE ANSWER IS
Answer:
P = 8x + 4
Step-by-step explanation:
P = 2(l + w)
P = 2(5 + 4x - 3)
P = 2(4x + 2)
P = 8x + 4
HELP ME PLEASEEE!!!!
don’t use for points or i’ll report and get ur info.
A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need?
Round to the nearest foot.
Answer:
16.97 feet
Step-by-step explanation:
a^2=b^2+c^2
24^2=576
b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
i believe it b 75% sure i sorry if i can't help
Step-by-step explanation:
Can I Sign in for free I'm a student so I don't know how to log in please help me I would appreciate your service thank you!
Answer:
you have to create an account which should be pretty easy to find and just use your personal email!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation
You are signed in right now????
Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40