Answers
Answer:
13). y = x² + 6x + 8
14). y = 2x² + 8x - 12
Step-by-step explanation:
13). Vertex form of a parabola is given by,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Equation of a parabola with vertex (-3, -1) will be,
y = a(x + 3)² - 1
Since, y-intercept of the parabola is y = 8
In other words, parabola is passing through (0, 8)
8 = a(0 + 3)² - 1
8 = 9a - 1
9a = 9
a = 1
Therefore, equation of the parabola will be,
y = (x + 3)² - 1
y = x² + 6x + 9 - 1
y = x² + 6x + 8
14). Equation of a parabola with vertex (-2, -20)
y = a(x + 2)² - 20
Since, y-intercept of the parabola is (0, -12),
-12 = a(0 + 2)² - 20
-12 + 20 = 4a
4a = 8
a = 2
Therefore, equation of the parabola will be,
y = 2(x + 2)² - 20
y = 2(x² + 4x + 4) - 20
y = 2x² + 8x + 8 - 20
y = 2x² + 8x - 12
Related Questions
Complete the table shown to the right for the population
growth model for a certain country
2004 Population(millions) 42.4
Projected 2022 Population
(millions)____
Projected Growth Rate, k 0.0145
The projected 2022 population is ____ million
Answers
Answer:
2,1
Step-by-step explanation:
Answer: ≈ 55.045
Step-by-step explanation:
The formula is A=Pe^rt
A = (?) projected population
P = 42.4 (current population)
r = 0.0145 (growth rate)
t = 18 (difference between years: 2022 - 2004)
A = 42.4e^0.0145(18)
A = 42.4e^0.261
A = 42.4(1.298227665)
A ≈ 55.045
find the length of segment cd, given ab is congruent to cd
Answers
Help quickly as possible thank you :)
Answers
Answer:
50/100 and .50
Step-by-step explanation:
Answer:
you can write it like 1/2 I don't know the other one sorty
What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?
Answers
Answer:
DRFHDFG
Step-by-step explanation:
6=6+4
Suppose that the odds against a particular team winning the Super Bowl are 11 to 1. What is the probability of that team not winning the Super Bowl?
A) 10/11
B) 11/12
C) 1/11
D) 1/12
Answers
Answer:
A) 10/11
Step-by-step explanation:
Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.
Richard buys a carton of oranges and measures the weight of 1 orange in the carton Which measure gives the most precise weight?
Answers
Answer:
0.8 lbs
Step-by-step explanation:
Ounces are typically used to measure liquid, so I would discourage choosing the top two. And, hopefully you know by now that an orange does not weigh 8 pounds.
9514 1404 393
Answer:
(a) 0.8 ounces (most precision)
(b) 8 ounces (best precision for likely weight of an orange)
Step-by-step explanation:
The most precision is obtained by using the smallest unit of measure. On this list, the smallest unit of measure is a tenth of an ounce. That is, the measure 0.8 ounces has the most precision.
__
It is unlikely that the weight of one orange will be 0.8 ounces. The smallest unit used in a measurement likely to correspond to the weight of an orange is 1 ounce, used in the measurement 8 ounces. That measurement has better precision than 0.8 pounds, because 0.1 pounds corresponds to 1.6 ounces.
Once again Plssssssss Help Meh
Answers
The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2, 3
Using the prime factorizations, what is the greatest common factor of 16 and 24?
2
22
2.2.2
2.2.223
Answers
Answer:
2 · 2 · 2 = 8Step-by-step explanation:
16 = 2 · 2 · 2 · 2
24 = 2 · 2 · 2 · 3
GCF(16, 24) = 2 · 2 · 2 = 8
Answer:
hm
Step-by-step explanation:
Solve the system of equations y=x^2-3x+2
y=-9x-3
Answers
Point Form:
(3, 0)
Equation Form:
x = 3, y = 0
Lana makes eight dollars an hour Plus $12 an hour for every hour overtime. Overtime hours are any hours more than 40 hours for the week create an equation that shows the amount of wages earned, W, for working X hours in a week when there is no overtime
Answers
Answer:
W = $8X
Step-by-step explanation:
Lana makes $8 per hour
Extra $12 an hour for every hour overtime
Overtime are hours more than 40 hours per week
In this case, Lana worked for X hours with no overtime
If W is wages earned for working for X hours , the equation will be;
W= X * $8
W= $8X
Solve the expression. 0.02 × 0.3
A. 0.6
B. 0.06
C. 0.006
Answers
What is the distance between (-5, 2) and (-9,-4)?
Leave your answer in simplest radical form.
Answers
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(-9+5)^2+(-4-2)^2} = \sqrt{(-4)^2+(-6)^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]
The distance between (-5, 2) and (-9,-4) is 7.211 units.
What is distance?The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.
Given:
The coordinates of the point (-5, 2) and (-9,-4).
Calculate the distance using the formula given below,
[tex]d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]
d = [tex]\sqrt{[(-9) - (-5)]^2 +[(-4-2)]^2 }[/tex]
d = [tex]\sqrt{-4^2+(-6)^2}[/tex]
d = [tex]\sqrt{16+ 36}[/tex]
d = 7.211 units
Therefore, the distance between (-5, 2) and (-9,-4) is 7.211 units.
To know more about distance:
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which of the following best describes rotational symmetry
Answers
Answer: B
Step-by-step explanation:
A best describes the quality of symmetry, not specifically rotational symmetry.
C applies to that of A.
D applies to flipping an image across an axis.
B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.
find j(3x^4y^7) if j(n)=n^3
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(4*y-7)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 3x-4y+7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000
y-intercept = 7/4 = 1.75000
Calculate the X-Intercept :
When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333
x-intercept = -7/3 = -2.33333
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = -7/3 = -2.33333
y-intercept = 7/4 = 1.75000
The cost of 3 scarves is $26.25. What is the unit price? (cost per scarf)
Answers
$8.75 because 26.25 divided by 3 equals $8.75.
hope this helps
What is the equation of this line
Answers
Answer:
2/3
Step-by-step explanation:
Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answers
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
Learn more about an equation here; https://brainly.com/question/18510004
how many more pizzas dose the Westland location need to sell the equal downtown and center city locations
Answers
Answer:
530 :)
Step-by-step explanation:
If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer
a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?
Answers
Answer:
60
Step-by-step explanation:
24+36
20+30=50
4+6=10
50+10=60
The question is below the screen
Answers
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12
the questions on a multiple-choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answer to a 100 questioned test
Answers
Answer:
2
Step-by-step explanation: because u have to divide the 4 100 than the ratio 25% it would give u 2
Help please this is urgent
Answers
Answer:
1.55 = Toni(2)
1.56 = Morgan(1)
1.53 = Pat (3)
Step-by-step explanation:
Is it most to least because that is what i did?
Can someone help me please
Answers
Answer:
7920
Step-by-step explanation:
all you have to do is just multiply the the feet in a mile by how any miles there are so basically
=> 1.5 * 5280 = 7920
Answer:
7,920 ft
Step-by-step explanation:
1.5 miles
1 mile = 5,280 feet
1.5 × 5,280 = 7,920 ft
or
5,280 ÷ 2 = 2,640
2,640 + 5,280 = 7,920 ft
the question is below thanks
Answers
Answer:
[tex]10.02[/tex] units
Step-by-step explanation:
[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])
[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]
[tex]=\frac{82}{360}\times14\pi[/tex]
[tex]=\frac{287\pi}{90}[/tex]
[tex]=10.02[/tex] (to the nearest hundredth)
∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.
Hope this helps :)
An author writes 9 pages of her book each week. How many pages does she write in 7 weeks? Use a five fact to solve.
Answers
Answer: she writes 63 pages in 7 weeks.
Step-by-step explanation: simple answer you just multiply 9x7=63!
hope this helped.
The number of pages she write in 7 weeks is 63 pages
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of pages she write in a week = 9 pages
Number of weeks she writes = 7 weeks
So , to calculate the number of pages she write in 7 weeks =
Number of pages she write in a week × Number of weeks she writes
Number of pages she write in 7 weeks = 9 × 7
= 63 pages
Hence , the number of pages she write in 7 weeks is 63 pages
To learn more about equations click :
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11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?
Answers
Answer:
$15
Step-by-step explanation:
The unit rate or how much a comic book costs = total cost ÷ number of comic books
Using any given pair, let's use the first row (3, 3.75):
Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]
This means a comic book cost $1.25.
Therefore, 12 comic books would cost:
12 × 1.25 = $15
The measures of the angels of a triangle are show. In the figure below solve for x
Answers
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
I NEED HELP PLEASE Thank youuuu
Answers
Answer:
number 8 is b
Step-by-step explanation:
Distance Formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]
(-2,-3) (2,1) Midpoint (2,1)
[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]
Then find the slope.
1- - 3 / 2 - -2 = 4/4 = 1
(or use an online graphing calculator)
The Points are (6,5)
The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
Answers
Answer:
14.66 inches
Step-by-step explanation:
Calculation for How far does the tip of the minute hand move in 35 minutes
The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)
Hence, the tip of the minute hand
distance will be calculated using this formula
Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour
Let plug in the formula
Circumference of a circle==2*π*4 inches*35 minutes/60 minutes
Circumference of a circle= =2*π*4 inches*0.58333
Circumference of a circle==14.659 inches
Circumference of a circle==14.66 inches (Approximately)
Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches
22.00+27.51+21.33+22.95=
please show me how you got that answer
asap plz help 50 points
Answers
Answer:
93.79
Step-by-step explanation:
22.00 + 21.33 = 43.33
22.95 + 27.51 = 50.46
43.33 + 50.46 = 93.79