Answer:
(0,16)
Step-by-step explanation:
Hi there!
The y intercept is the value in which the parabola passes through the y axis
Therefore, the value of x at the y intercept is 0
So to find the value of the y intercept, substitute x as 0 in the equation.
y=(2x-3)^2 + 7
If x=0, then:
y=(2(0)-3)^2 + 7
Multiply
y=(0-3)^2 + 7
Subtract 3 from 0
y=(-3)^2 + 7
Raise -3 to the second power
y= 9 + 7
Add 9 and 7 together
y = 16
So the y intercept is the point (0,16)
Hope this helps!
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
Find out more at: https://brainly.com/question/13911928
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
Graph the following features: Slope = 4 Y-intercept = 4
Answer:
Step-by-step explanation:
Equation of the line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
m=4b=4[tex]\\ \sf\longmapsto y=4x+4[/tex]
Use the quadratic formula to solve x2 – 3x - 2 = 0
Answer:
C
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
c is the answer to this problem
first to answer get brainliest thankss :)
Answer:
47
Step-by-step explanation:
First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.
Now that we have two angles of the triangle, we can set up the equation:
76+57+x=180
we have 180 because all three angles of any triangle equal 180.
solving for x:
simplify the equation, (x)+(76+57)=180
combine like terms, x+133=180
Subtract 133, 180−133=47
x=47.
It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track
Answer:
4 minutes per lap
Step-by-step explanation:
20/5 is 4
What number is 73% of 14.6
Answer:
10.658
hope it helps
Answer:
10.658
Step-by-step explanation:
14.6 = 100%
? = 73%
73% ÷ 100% x 14.6
= 10.658
10.658 = 73%
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
".
Measure these angles.
a)
b)
a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent
Answer:
3x4=12
12 coins in her collection
Step-by-step explanation:
25x4=100%
what is 3(a+b)-2(a-b)
Answer:
a + b
Step-by-step explanation:
3(a+b)-2(a-b)
=> 3a + 3b - 2a - 2b
=> a + b
Therefore, a + b is our answer
Answer:
a + 5b
Step-by-step explanation:
3(a + b) - 2(a - b) ← distribute both parenthesis
= 3a + 3b - 2a + 2b ← collect like terms
= a + 5b
7990 was rounded to the nearest ten. What is the lower bound?
Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.
First, 7990 rounded to the nearest ten is:
7990
Which system of inequalities is shown?
a.y > x
y > 2
b. y > x
y < 2
c. y < x
y < 2
d. y < x
y > 2
y < x
y < 2
==================================================
Explanation:
The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)
Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)
-------------
At the same time, we're also shading below the line y = x to form the inequality y < x.
So that's how we end up with this system
[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]
which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.
4−(−8)= please help i need it now
Answer:
Step-by-step explanation:
How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade
Answer:
You can expand this with this rule:
[tex]a(b+c)=ab+ac[/tex]
Similarly,
[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]
[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]
(23+7)×4
=
+7×4
=
×4
=
Answer:
Step-by-step explanation:
i showspeed
Find five rational numbers between ⅗ and ⅘.
Answer:
2/3, 3/4, 7/10, 11/17, 13/17
Step-by-step explanation:
832.078107648 to the nearest whole number.
Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answer:
$400,000 and $600,000
Step-by-step explanation:
2x = one sister amount
3x = the other sister amount
Total money = $1,000,000
5x = 1,000,000
x = 1,000,000/5
x = 200,000
2x = 2(200,000) = $400,000
3x = 3(200,000) = $600,000
Check: one sister amount + the other sister amount = $1, 000,000
$400,000 + $600,000 = $1,000,000
ratio 2:3=2+3=5
so the first sisters share is
(2/5×1,000,000)
=200,000×2
=400,000.....thats the first sisters share
so....the second sister's share is
(3/5×1,000,000)
=3×200,000
=600,000.....thats the second sisters share
and to check if your answer is correct
you can add both of their shares
600,000+400,000=1,000,000.
A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?
Answer:
its multiplication 4 times 3 the product is 12
Step-by-step explanation:
A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?
(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST
Answer:
A. = 100.84 m
B. 571.384 cubic m
Step-by-step explanation:
a.
33.22+33.22+17.2+17.2 =100.84m
b.
33.22x17.2 = 571.384 m2
I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4
Answer:
B) x = 2
Step-by-step explanation:
1 + 1 = x
2 = x
1 + 1 = 2
Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect
Answer: $11
Step-by-step explanation:
To have the same:
11+8=19
19×2=38
Answer:
It would be $11
Step-by-step explanation:
Hope it helps (Could you mark brainliest please)
the person who answes my question can u stay because i have more thankyou
Answer:
c. 60 mins
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
sorry last one!!
3 × x[tex]x^{2}[/tex] × y × 4z × x × 2y × z
[tex]\red{\bold{Answer:}}[/tex]
z1 Multiplied by z1 = z(1 + 1) = z2
[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]
= (3•2³x3y2z²)
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
solve pls brainliest
Answer:5868<9845<91387<969156
Step-by-step explanation: