Answer:
[tex](x-2)^2-30[/tex]
Step-by-step explanation:
use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.
[tex]a=1, b= -4, c = -26[/tex]
consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{4}{2(1)}[/tex]
simplify the right side.
find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]
[tex]e=30[/tex]
Solve for x in 2•8 X 867•5x
Step-by-step explanation:
867.5x ×2.8
is is equal to 2429x
You own a lawn mowing business. Yesterday, it took you 7 hours to mow 5 lawns.
Identify and describe the rate the lawns were mowed.
Answer: 20 lawns can mowed in 7hrs
Step-by-step explanation:
Rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.
What is rate?" Rate is defined as the ratio of the comparison of two different quantity with different unit."
According to the question,
Given,
Number of hours to mow 5 lawns = 7hours
Rate of the lawns mowed = [tex]\frac{5}{7}[/tex] lawns per hour
Hence, rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.
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find the mean and median of 1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Answer:
Mean - 3.3793103448276
Median - 3
Step-by-step explanation:
Define:
Mean ⇒ Average
Median ⇒ Middle Number
Solve:
Mean ( Adding all number then divide by total number in data set)
1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94
94/29 = 3.3793103448276
Mean - 3.3793103448276
Median ( Find Middle Number)
1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Kavinsky
Hexa- is a prefix meaning __________.
four
six
height
five
three
Answer:
Hexa is a prefix meaning six.
Step-by-step explanation:
An example of this would be a hexagon, it has six sides, and the word of course has the prefix, "hexa."
Which is an x-intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)
The x-intercept of the graphed function is (-1,0)
How to determine the x-intercept of the graphed function?The x-intercept of the graphed function is the point where the function has a value of 0
i.e. the x value when y = 0
From the complete question, we have:
x = -1 when y = 0
Hence, the x-intercept of the graphed function is (-1,0)
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can i have some help rn?
Answer:
[tex]\textsf{a)} \quad y=(x+1)^2-4[/tex]
[tex]\textsf{b)} \quad y=2(x-4)^2-2[/tex]
Step-by-step explanation:
Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and [tex]a[/tex] is some constant)
Part aVertex = (-1, -4)Point on parabola = (1, 0)Substitute the vertex into the formula:
[tex]\begin{aligned}\implies y &=a(x-(-1))^2-4\\y & =a(x+1)^2-4\end{aligned}[/tex]
Substitute the point (1, 0) into the formula:
[tex]\begin{aligned}\implies a(1+1)^2-4&=0\\4a-4&=0\\4a &=4\\a &=1\end{aligned}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=(x+1)^2-4[/tex]
Part bVertex = (4, -2)Point on parabola = (6, 6)Substitute the vertex into the formula:
[tex]\begin{aligned}\implies y &=a(x-4)^2+(-2)\\y & =a(x-4)^2-2\end{aligned}[/tex]
Substitute the point (6, 6) into the formula:
[tex]\begin{aligned}\implies a(6-4)^2-2&=6\\4a-2 & =6\\4a &=8\\a &=2\end{aligned}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=2(x-4)^2-2[/tex]
Find a
a(x-h)²+k=ya(1+1)²-4=04a-4=04a=4a=1So
Vertex form
y=(x+1)²-4#2
(h,k)=(4,-2)passes through (6,6)Find a
a(6-4)²-2=64a=8a=2Vertex form
y=2(x-4)²-2At the Natural History Museum, tickets cost $12 for adults and $4 for kids under 12. What would be the total cost for 3 adult tickets and 8 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?
Total cost, 3 adult tickets and 8 kids tickets:
Total cost, aa adult tickets and kk kids tickets:
Answer:
68
Step-by-step explanation:
if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36
Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32
so the total price for 3 adult tickets and 8 kids tickets is $68
------
sorry if I didn't answer right I cant tell if the last part is a typo or a question
Answer:
see below
Step-by-step explanation:
ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36
36 + 32
3+3=6
6+2=8
36+32= 68
Suppose Jason gathered data about the heights of 250 students and the ages of 15 teachers. Would you
recommend Jason use a dot plot or a histogram to represent each data set? Why?
Answer:
use a dot plot because it can show you the the coordinate numbers on the graph.
HELP ME PLEASE FAST I REALLY NEED THIS DONE NOW
Answer:
Step-by-step explanation:
What is the coefficient in the mathematical expression?
- 7
point 2 1/3 is on the right of 2 plus 2 small marks
point -5/6 is on the right of -1 plus 1 small mark
point -3 1/2 is on the left of -3 plus 1 small mark
sorry I don't know how to draw a number line on brainly
Answer:
- for the number line check out the attached photo
- 7
Step-by-step explanation:
- on the number line, each small mark represents 1/6 so to make it easier I made the fraction into 1/6 form
- a coefficent is a numerical value placed before and multiplying the variable in an algebraic expression (ex. 4x)
In this case 7 is before the m making 7 the coefficent
Hope this helps, Let me know if you have any other questions !
.
The following shows the price of bowls at three stores.
• Store A: $15 for 5 bowls
• Store B: $8 for 4 bowls
• Store C: $30 for 10 bowls
Which store has the cheapest price for 1 bowl?
Answer: Store B
Step-by-step explanation:
So for Store A 5 bowls are $15
1 bowl = 15/5
= 3
Same applies for all
Store b = $2
Store c = $3
Thus Store B is cheaper
Two choices greater than 3/5
Answer:
39/50 is larger than 3/5.
Step-by-step explanation:
2/3 is larger than 3/5.
Final Amount 15,400
Investment 12,000
Interest Rate ?
Years 3
whats interest rate
Answer:
How do I calculate interest rate on investment?
Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t.
Step-by-step explanation:
Hope this helps.
The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?
Check the picture below.
so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]
Are you able to help me: Simplify (4x + 2)3
Answer:
64x^3 + 996x^2 + 48x + 8
Step-by-step explanation:
Answer:
12x+6
Step-by-step explanation:
[tex](4x+2)3[/tex]
Use the distributive property to multiply (4x+2) by 3:-
[tex]12x+6[/tex]
You want to know the opinions of homo-schooled students across America on whether they prefer to loarn at home versus at a public school with other students. You obtain a list of all home-schooled students and mail a survey to a random sample of 7,500 students. Of those, 4,195 responded and 39% say they prefer to learn at home. Which of the
following statements is true?
The results of this survey may be affected by nonresponse blas.
The results of this survey cannot be trusted because of convenience response bias.
O Bocauso random sampling is used, wo can fool confident that the porcont of all homo-schooled students who say they favor learning at home is close to 39%.
O Because more than half of those who were mailed the survey actually responded, va can feel fairly confident that the actual percentage of all home-schooled
students who prefer to learn at homo is close to 39%.
In this survey, the results can be trusted because more than half of the people responded which makes this sample to be representative.
What is nonresponse bias?This occurs when most of the people who were intended to be surveyed do not respond, which causes the results to be biased as the sample does not represent the population.
Can the results of this survey be trusted?Considering more than 50% answer it is likely the results can be trusted as the sample is still representative.
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The circumference of a circle is 25 pi cm . what is the area, in square centimeters? express your answer in terms of pi .
The area of the circle is the amount of space it occupies, and the area of the circle is 156.25π
How to determine the area?The circumference, C is given as:
C = 25π
Start by calculating the radius using:
C = 2πr
So, we have:
2πr = 25π
Solve for r
r = 12.5
The area is then calculated using:
A = πr²
So, we have:
A = π * 12.5²
Evaluate
A = 156.25π
Hence, the area of the circle is 156.25π
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A square field has an area 625cm. Find the length of one of side.
Answer: 25cm
Step-by-step explanation:
Since the field is square we can understand each side is an equal length
This means we just have to use the formula...
[tex]A^2 = 625[/tex]
[tex]\sqrt{a^2} = \sqrt{625}[/tex]
a = ±25
Since it is a real thing, we are only looking at positive values, therefore your answer is
25cm
Pls pls pls help. I’ll give Brainliest!!
A certain shade of blue paint is made by mixing 1/2 of a quart of blue paint with 1/8 of a quart of white paint.
How much white paint would you need to mix with 2 2/3 quarts of blue paint to make the same shade of paint?
Explain the error.
Calculate the correct solution.
Answer:
Step-by-step explanation:
2 2/9? maybe because 1/8 is 6 times bigger than 1/2, so if you add 6 to 2 2/3 it would be 2 2/9?
You would need 1/4 white paint to mix with 2 2/3 quarts of blue paint to make the same shade of paint.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The amounts of each type of paint as fractions of the total amount of paint: 1/2 quart of blue paint is 1/(1+1/2) = 2/4 = 1/2 of the total amount of paint, and 1/8 quart of white paint is 1/(1+1/2+1/8) = 1/8 of the total amount of paint.
So the ratio of blue paint to white paint in the original mixture is 1/2 to 1/8, or 4 to 1. To make the same shade of paint with 2 2/3 quarts of blue paint, we need to use the same ratio of blue paint to white paint.
So we need 1/4 as much white paint as blue paint, which is (1/4) × 2 2/3 quarts = 2/3 quart of white paint.
The error in the original solution was not correctly finding the ratio of blue paint to white paint in the original mixture, which is necessary to determine the correct amount of white paint to mix with a different amount of blue paint to create the same shade.
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Chris writes the expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
Which of these are equivalent expressions? Select TWO correct answers.
A. x − 15
B. x − 3
C. x + 15
D. ( 12 x − 11 x ) + ( 3 − 18 )
E. ( 12 x − 11 x ) + ( 18 − 3 )
F. ( 12 x − 11 x ) + ( − 6 + 3 )
The equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) is
x+15( 12 x − 11 x ) + ( 18 − 3 )The Correct option is (C) and (E)
What is Linear equation in one variable?
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+ b = 0.
The given equation is:− 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
= -3x+18 + 12 x -8x-3
=x +15
The corresponding equation to the above equation is:
C. x+15
D. (12 x - 11x) + (3-18)
= x-15
E. (12 x - 11x) + (18-3)
= x+15
F. (12 x - 11x) + (-6+3)
= x-3
As from the above it can be seen that the equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) . is
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A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population that the teacher should survey?
the parents of all the students in the school
the parents of the seventh-grade students
each teacher in the school
each student in the schoo
Answer:
The parents of the seventh grade students
The annual mean thickness of the ice cover declined from a peak of 3.71 m in 1980 to a minimum of 2.46 m in 2000, What is the percent decrease in the annual mean thickness of the ice cover?
Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.
What is the percent decrease of an amount?It is given by the decrease divided by the initial amount and multiplied by 100%.
In this problem:
The initial amount was of 3.71 m.The decrease was of 3.71 m - 2.46 m = 1.25 m.Hence the percent decrease is given by:
P = (1.25/3.71) x 100% = 33.69%.
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the universal set U, is given as; U={whole numbers from 1 to 12} H is a subset of U such that H = { odd numbers between 4 and 12} list the elements of set H
Step-by-step explanation:
odd numbers cannot be divided by 2 without remainder.
so, H is
{5, 7, 9, 11}
Sean is building nesting boxes for their Etsy store. The smallest box is a cube, 10 cm on a side. It fits entirely inside a larger cubic box that is 15.0 cm on a side (50% larger). If each box has dimensions that are 50% larger than the one before then what is the total maximum number of nesting boxes Sean can build that will fit inside a shipping carton that has a cube-shaped interior, 1 m (100 cm) on a side?
Answer:
19
Step-by-step explanation:
I don't really have explanation but imagine putting boxes into boxes that are always a little bigger(+5 cm)
so you go from the smallest one 10cm and gradually keep adding 5cm until you reach 100cm.
10,15,20,25,30,........,100
Samantha has a solid with a certain density. She knows the mass of the solid is 170 grams and the volume of the object is 20 cubic centimeters. When she calculates the density of the solid, what units should Samantha use?
Answer:
Step-by-step explanation:
Comment
The formula for density is D = m/V
the units of mass are gramsThe units of volume is cm^3Therefore the units of density is
Density = grams/cm^3
find the total surface area of this cuboid
the cuboid has a length of 4cm and the width of 2cm and the height of 5cm
Answer:
SA = 76 cm²
Step-by-step explanation:
Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)
SA = 2(lw) + 2(wh) + 2(hl)
l = 4 cmw = 2 cmh = 5 cmSubstitute the values above and multiply:
SA = 2(lw) + 2(wh) + 2(hl)
SA = 2(4)(2) + 2(2)(5) + 2(5)(4)
SA = 2(8) + 2(10) + 2(20)
SA = 16 + 20 + 40
SA = 76 cm²
Final answer: 76 cm²
Hope this helps!
Simplify -14x > -3 please needed very fast please
Answer:x < 3/14
Step-by-step explanation:
-14x > -3
x < 3/14
Answer: x<3/14
Step-by-step explanation:
Energy for both renewable and nonrenewable sources originally comes from
A. Oil
B. Earth's core
C. fossil fuel
D. the sun
Answer:
d
Step-by-step explanation:
The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy
Find the perimeter
...................
Answer:
58 inches
Step-by-step explanation:
15+12=27+14=41+9=50+8=58
Is this inverse or direct variation?
y = 3/x
A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages. How many text messages did each of the other 8 friends receive if they each received the same number of messages as each other
If one person received 25 messages. Then the number of messages received by each friend will be 26.
What is division?The division of something into distinct portions, or the sharing of something among other persons, locations, or things, is referred to as division.
A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages.
Then the number of the remaining messages will be
→ 233 - 25
→ 208
Then the number of the text messages that each of the other 8 friends receives is the same number of the messages. Then we have
Let each friend has an equal number of the messages be x. Then
[tex]\rm x = \dfrac{208}{8}\\\\x = 26[/tex]
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