Answer:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
Step-by-step explanation:
We want to find a quadratic that passes through the points:
[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]
In intercept form.
First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:
[tex]y=a(x-p)(x-q)[/tex]
Where p and q are the x-intercepts, and a is the leading coefficient.
So, we will substitute -4 and 2 for p and q:
[tex]y=a(x-(-4))(x-(2))[/tex]
Simplify:
[tex]y=a(x+4)(x-2)[/tex]
Next, the third point (6, -20) tells us that y = -20 when x = 6. So:
[tex](-20)=a(6+4)(6-2)[/tex]
Solve for a:
[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]
Thus:
[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]
Hence, our equation in intercept from is:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
What is the equation of the line parallel to the given line with an x-intercept of 4?
y =
x =
Answer:
1st: 4
2nd: -16
Step-by-step explanation:
Trust the process
The required equation of the parallel line is 4x + y = 16.
Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16
Thus, the required equation of the parallel line is 4x + y = 16.
Learn more about slopes here:
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A sequence can be generated by using an=5an−1, where a1=2 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
2, 7, 12
2, 10, 50
5, 7, 9
5, 10, 20
Answer:
2nd option
Step-by-step explanation:
Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then
a₂ = 5 × a₁ = 5 × 2 = 10
a₃ = 5 × a₂ = 5 × 10 = 50
the first 3 terms are 2, 10, 50
The first three terms of the given sequence are 2, 10, 50
What is sequence?A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.
Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,
We need to find the first three terms of the sequence,
Therefore, aₙ₋₁ = 5 and a₁ = 2 then
a₂ = 5 × a₁ = 5 × 2 = 10
a₃ = 5 × a₂ = 5 × 10 = 50
Therefore,
The first 3 terms are 2, 10, 50
Hence, the first three terms of the given sequence are 2, 10, 50
Learn more about sequence, click;
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What is the solution to the equation = 25?
x = 5
x = 10
x = 25
x = 125
Answer:
x=125
Step-by-step explanation:
To solve we must find a number that when divided by 5 equals 25.
To do this we can either...
Take each answer choice and plug in the value into the x spot and see if it works...
5/5=25 WRONG
10/5=25 WRONG
25/5=25 WRONG
125/5=25 CORRECT!
ORRR... we can set the equation so that the x is alone on one side.
To do this we can multiply both sides by 5
[tex]\frac{x}{5}[/tex]=25 ---> x=25×5
x=125
Answer:
I use ignitia too! ANd the other person is correct, i think..
Step-by-step explanation:
How would you begin to plot the ordered pair ( 6,2)?
Step-by-step explanation:
start with x which is 6
then plot it
then do y which is 2
and plot
Answer:
Make a grid and put your order pair in the graph
because you would take 6,2 and on the grid go up to 6 and down all the to 2 i hope i helped!
Step-by-step explanation:
HELP ASAP, WILL MARK BRAINLEST
Answer:
4/6
Step-by-step explanation:
These two triangles are similar. Find the value of x.
4.5
6
Х
4
7.5
an
5
Answer:
The value of x is 3
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
4.5/7.5 = x/5
5 * 4.5 = 7.5 * x
x = (5 * 4.5)/7.5
x = 3
18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. The system of equations can be used to determine how many of each item they bought.
Answer:
bags of snack = x = 6
bottles of water = y = 5
Step-by-step explanation:
The system of equations can be used to determine how many of each item they bought.
20.00=2.50x+1.00y
11=x+y
how many bags of snack mix did they buy?
Let
bags of snack = x
bottles of water = y
20.00 = 2.50x + 1.00y (1)
11 = x + y (2)
From (2)
x = 11 - y
Substitute x = 11 - y into (1)
20.00 = 2.50x + 1.00y
20.00 = 2.50(11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y
20.00 - 27.5 = -2.50y + 1.00y
-7.5 = -1.5y
y = -7.5/-1.5
y = 5
Substitute y = 5 into (2)
11 = x + y
11 = x + 5
11 - 5 = x
x = 6
bags of snack = x = 6
bottles of water = y = 5
Correct answer and detailed explanation pls!!!
Answer:
Step-by-step explanation:
Answer:
-15 < x
Step-by-step explanation:
HELP ASAP!!!!!
An equation is shown.
3^m x 3^n = 3^-3
What are possible values for m and n?
m =
n =
Show work too pls
Answer:
3^m x 3^n = 3^-3
All values for m and n, when m+n= -3.
m=1,n=-4;m=-1,n=-2......
Step-by-step explanation:
Someone help me with these pls?
Answer:
Step-by-step explanation:
18 : 63
Both have 9 in common
2 : 7
Option C is the correct answer
Option F is the correct answer
Solve this system of equations: (picture is there)
List the solution (x,y) for this set of systems of equations and then explain how you found the solution.
Step-by-step explanation:
[tex](x...y = (2...4)| [/tex]
Answer:
x = 2, y = 4
Step-by-step explanation:
We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)
Replace the y value in [x = -y + 6] with "2x", because y = 2x.
x = -2x + 6
From there, we can solve the linear equation.
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
From x, we can also figure out what y equals.
Replace the x value in [y = 2x] with "2", because x = 2.
y = 2*2
y = 4
x = 2 and y = 4
The volume of the geometric figure below is _______ cubic ft
Answer: Your answer in 840 cubic feets
Step-by-step explanation:
u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.
If this helps plz mark me brainlest
Good luck :D
Ryan is a construction worker and is about to put a roof on a new house. He has to measure the front of the roof which is in the shape of a triangle. He finds out the height of the triangle is 12ft and the base of the triangle is 24 feet. How many square feet of wood does he need to purchase to cover the front of the roof?
Area of the triangle=1/2*base*height
height=12ft
base=24 ft
1/2*12*24
=144sq.ft is the area
He needs to purchase 144 sq.ft of wood to cover the front roof
Answer this shi
zzzzzzzzzxxxxx
Answer:
70 degrees
Step-by-step explanation:
Can someone help me!?
Answer:
1. Area: 5963
2. Permiter: 312
3. perminter
4.Area
Step-by-step explanation:
Hi :D
Which of the following has the greatest value? 11OI ООО -1-141 1-121 D 18I
Answer:
d
Step-by-step explanation:
SOLVE !!!!!!!!!!!!!!!!!!!!!
9/ (-3) + 6 x 2 – 7
SHOW YOUR WORK
Answer:
Step-by-step explanation:
9/(-3)+6x2-7
9/-3 = -3,
6 x 2 = 12,
-3 + 12 = 9,
9-7 = 2
Answer:
2
Step-by-step explanation:
9/(-3)+6*2-7
-9/3+6*2-7 simplify 9/3 to 3
-3+6*2-7
-3+12-7
9-7
2
The tree diagram shows the sample space of rolling a cube with faces numbered 1–6 and flipping a fair coin. What is the probability of rolling the number 5 and the coin landing heads up?
Answer:
It’s C 1/12
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.
Natalie is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client,
charging a total of $239. Today, she did 2 haircuts and colored the hair of 1 client, charging a
total of $192. How much does Natalie charge for her services?
Natalie charges $___
for a haircut and $__
for a coloring
Answer:
1 haircut = 47 dollars
1 colouring = 98 dollars
Step-by-step explanation:
Let [tex]x[/tex] be equal to the cost of 1 haircut.
Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.
1) Form equations
Equation 1: 3 haircuts + 1 colour = 239 dollars
⇒ [tex]3x+y=239[/tex]
Equation 2: 2 haircuts + 1 colour = 192 dollars
⇒ [tex]2x+y=192[/tex]
2) Solve the system of equations
Subtract equation 2 from equation 1 to cancel out y (elimination)
- [tex]3x+y=239\\2x+y=192[/tex]
⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]
Therefore, Natalie charges 47 dollars for 1 haircut.
Plug x back into one of the equations to solve for y
[tex]2(47)+y=192\\94+y=192[/tex]
Subtract both sides by 94
[tex]94+y-94=192-94\\y=98[/tex]
Therefore, Natalie charges 98 dollars for 1 colouring treatment.
I hope this helps!
What is the image of the point (-2, 4) after a rotation of 270° counterclockwise
about the origin?
REMEMBER THAT THE RISE TESTS DO NOT GO TOWARDS YOUR GRADE, THEY ARE ONLY FOR THE SHOOLS TO SEE HOW WELL THEY ARE TEACHING YOU.
Remember that the Rise tests are only for your state. Different states have different tests. My state has the Peaks test.
y = 2x - 4 y = x + 1
Solve using substitution.
Step-by-step explanation:
heres tue answer. hope that helps
Answer:
x=5,y=6
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Simplify-: 5^2 * 2^3
Answer:
33
Step-by-step explanation:
5^2+2^3
25+2^3
25+8
33
Debera earns $350 a month. She saves $28 a month. Savings is what percent of her income?
We can find percent by dividing savings by total earned. 28/350=8%
8%
--------------------
What is the range?
981356 mean and median
Answer:
mean: 15
median: 14
mode: 13
range: 8
2 Questions for Math ! Please Help :) 1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X What is the value of X and what are the measures of angles A,B, and C? 2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?
Answer:
5
Step-by-step explanation:
thanks for the points
I have the answer I just have this one question. Will all the paint fit into the bucket?
There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.
Answer:
brandon
Step-by-step explanation:
Initially, there id 4 pints of green paint in the bucket.
As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket is 2 pint each.
Let x pints of yellow paint to be added to the bucket to make the desired shade.
Total amount of the paint in the bucket, after addition of pints of yellow color become pint, in which the ampunt of yellow color is pints.
As, the ampunt of yellow color is 80% of the total amount of the mixture, so
So, 6 pints of yellow paint to be added to the bucket to make the desired shade.
Hence, Brandon is correct.
Please help. Please refer to the picture I really need to finish this.
Answer:
20cm^3
Step-by-step explanation:
The figure is composed by two parallelepipeds
first one
base area = 2 x 1 = 2 cm^2
height = 3 + 2 = 5 cm
V = base area x height
V = 2 x 5 = 10cm^3
second one
base area = 2 x 1 = 2 cm^2
height = 7-2 = 5 cm
V = 2 x 5 = 10 cm^3
total volume = 10 x 2 = 20 cm^3
The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How many halves do you have?How can you use halves to name the fold lines?
Answer:
The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.
Step-by-step explanation:
When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.
1,346.275 round to the nearest whole number
Answer:
1,346
Step-by-step explanation: