Answer:
x = -1 <--- axis of symmetry
(-1, -9) <-- vertex
2, -4 (or, in my old precalc class we wrote our roots as (2,0) and (-4,0)) <--- roots
Step-by-step explanation:
a) Axis of symmetry equation is defined as
[tex]-b/2a[/tex] = x (i memorized this)
Quadratic equation form:
[tex]ax^2+bx+c[/tex]
And our original equation:
[tex]x^2+2x-8[/tex]
So..
[tex]-2/2 = - 1[/tex]
So our axis of symmetry is at x = -1,
b) now vertex point can be found by plugging this value back into our original equation.
y = [tex](-1)^2+2(-1)-8[/tex]
y = 1 - 2 - 8
y = - 9
So our vertex is at (-1, -9)
c) Finally, lets factor
[tex]x^2+2x-8[/tex] = 0 (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)
[tex]x^2-2x+4x-8[/tex] = 0
[tex]x(x-2) + 4(x-2) = 0[/tex]
[tex](x-2)(x+4)=0[/tex]
x = 2; x = -4 <--- Roots
Given: 22 and 24 are vertical angles
Prove: Z2 Z4
Answer:
Where is the picture? Also, Im kinda confused
Step-by-step explanation:
Evaluate t - u/v when t = -1, u = -3, and v = 1/2.
P.S. it’s not multiple choice.
Answer:
5
Step-by-step explanation:
8. If Rocky Massimo's credit card has a $1,329.64 balance and he charged $528.44 in new purchases, what is the new
balance?
A $1,972.32
B $1,867.45
C$896.45
D$1,858.08
NEED ANSWERS
Answer:
D: $1,858.08
Step-by-step explanation:
if u add $1,329.64 and $528.44 then you get $1,858.08
Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of the box?
192in³
275in³
37512 in³
425in³
Answer:
425 in.^3
Step-by-step explanation:
volume = length * width * height
Change all mixed numerals into decimals.
volume = 12.5 in. * 8.5 in. * 4 in.
Now use a calculator to multiply the three numbers together.
volume = 425 in.^3
Oscar walked at the same rate for 10.5 miles. He
completed his walk in 3 hours. What was Oscar's
rate, in miles per hour, during his walk?
Answer:
Oscar walked at the same rate for distance D = 10.5 miles.
He completed his walk in time T = 3 hours.
=>Oscar's rate, in miles per hour, during his walk:
R = D/T = 10.5/3 = 3.5 (mile/hour)
Hope this helps!
:)
A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.
Answer:
The equations are:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Step-by-step explanation:
The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the nearest tenths place?
Answer:
Step-by-step explanation:
volume of cylinder =[tex]\pi r^{2} h[/tex]
=3.14 * 2*2*8
=3.14*32
=100.48 cubic in
hope it helps .....
The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Calculation of the volume:Since the height of 8in and a base radius of 2in,
So here the following formula should be used
We know that
Volume of the cyclinder
[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]
= 100.48 cubic inches.
hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Learn more about volume here: https://brainly.com/question/14010084
Which of the following was a key cause of World War II?
O A. The establishment of alliances between Japan, Russia, and Great
Britain
O B. The dangerous and aggressive expansion of totalitarian nations
O C. The Soviet Union's efforts to spread communism around the world
D. The assassination of Archduke Franz Ferdinand by Serbian
nationalists
SUBMIT
Answer:
c. the dangerous and aggressive expansion of totalitarian nation
Step-by-step explanation:
Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?
Answer:
[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]
Step-by-step explanation:
hello,
let's note a the number of novelists and
b the number of poets.
we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"
it comes 3a=5b which is the first equation
and we know that a + b = 24 "there are 24 people"
we we have two equations
(1) 3a - 5b = 0
(2) a + b = 24
let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72
let's do 3*(2) - (1) it comes
3a + 3b -3a + 5b = 72 - 0 = 72
so 8b = 72
so b = 9
and then we replace b in (2) it comes
a = 24-9 = 15
hope this helps
Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11
Answer:
x < 11
Step-by-step explanation:
–8x + 16 > –72
Let's transfer the components which do not contain x to the right side and change sign of these components
-8x > -72 - 16
Now, we simplify the right side
-8x > -88
We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol
(-1/8)*(-8)x < (-1/8)*(-88)
Finally, we simplify both sides to solve this inequality
x < 11
Hope this helps!
3√81\125 simplyfy these
Answer:
[tex]\frac{27}{125}[/tex] or 0.216
Step-by-step explanation:
Assuming you meant 3 × (√81) ÷ 125 =
3 × 9 ÷ 125 =
27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216
ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?
B. Make an appropriate graph for the data. Be sure to label your graph.
Answer:
Histogram
Step-by-step explanation:
A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one
(1.3 x 10-2) (0.05) = ?
Answer:
=0.065x10−0.1
Step-by-step explanation:
(1.3x10−2)(0.05)
=(1.3x10+−2)(0.05)
=(1.3x10)(0.05)+(−2)(0.05)
=0.065x10−0.1
Answer: 0.55
Step-by-step explanation:
1.3 x 10= 13
13-2= 11
11 x 0.05= 0.55
BOOM! math.
Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?
Answer:
10$
Step-by-step explanation:
math
Answer:
10
Step-by-step explanation:
because i know
What is the value of x in the equation 2.5-0.25x=-3?
-22
-1.1
1.1
22
The value of X is 22
look at the attached picture
Hope it will help you
Good luck on your assignment
The value of x in the equation is 22.
What is the value of x?In order to determine the value of x in the equation, take the following steps:
Combine similar terms: 2.5 + 3 = 0.25xAdd similar terms: 5.5 = 0.25xDivide both sides of the equation by 0.25: 5.5 / 0.25 = 22To learn more about addition, please check: https://brainly.com/question/349488
Mario earns money mowing his neighbors' lawns.
The revenue for mowing x lawns is (X) = 25x.
Mario's cost for gas and the mower rental is (x) = 6x + 15.
His profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
A. p(x) = 31x+15
B. p(x) = 19x - 15
C. p(x) = 19x+ 15
O D. p(x) = 31x- 15
SUBMIT
Answer:
His profit from mowing x lawns is 19x-15
Step-by-step explanation:
Revenue for mowing x lawns = 25x
Cost for gas and the mower rental = 6x+15
We are supposed to find His profit from mowing x lawns
p(x) denotes His profit from mowing x lawns
Profit = Revenue - Cost
So,p(x)=25x-(6x+15)
p(x)=25x-6x-15
p(x)=19x-15
So, Option B is true
Hence His profit from mowing x lawns is 19x-15
The function F is defined by f(x) = 3x-5 over x+6 find f(5x)
Answer:
[tex]\frac{15x-5}{5x+6}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{3x-5}{x+6}[/tex]
To evaluate f(5x) substitute x = 5x into f(x)
f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]
which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid
Answer:
B
Step-by-step explanation:
hexagonal pyramid
6 SIDES,
A PYRAMID
You are given the function h(t)=t2+2t+1. Find h(−2). h (-2)=
Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Answer:
-12
Step-by-step explanation:
Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C
Answer:
A box plot would make it easier to see that the third quartile is 14 degrees C.
Step-by-step explanation:
On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.
Answer:
Box plot and dot plot
Step-by-step explanation:
Because I checked.
Follow me
get me to brainliest
Peace out
The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara earns babysitting.
h a
2 8
3 12
4 16
5 20
The equation a = 5h shows the relationship between the amount in dollars (a) Abbey earns babysitting and the time in hours (h) Abbey babysits.
Which statement correctly identifies who earns more and how much more she earns?
A
Sara earns $1 more per hour than Abbey.
B
Sara earns $4 more per hour than Abbey.
C
Abbey earns $1 more per hour than Sara.
D
Abbey earns $5 more per hour than Sara.
Answer:
C
Step-by-step explanation:
The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.
I hope that helps. If there are any questions left, just comment:)
Please mark me brainliest (it gets you 10 points back btw)
What is the equation of the parabola with focus (-2, 2) and directrix y = -1?
Answer:
(x+2)^2=6(y-1/2)
Step-by-step explanation:
If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.
Answer: transforms
Step-by-step explanation:
Which is the graph of the function f(x) = x3 – x2 – 17x - 15?
Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=x^3-x^2-17x-15[/tex]
We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let
[tex]y=f(x)=x^3-x^2-17x-15[/tex]
Substitute x=0
Then, we get
[tex]f(0)=-15[/tex]
y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0
[tex]x^3-x^2-17x-15=0[/tex]
Substitute x=-1
[tex]-1-1+17-15=0[/tex]
Therefore,x=-1 is a solution of given equation.
[tex](x+1)(x^2-2x-15)=0[/tex]
[tex](x+1)(x^2-5x+3x-15)=0[/tex]
[tex](x+1)(x(x-5)+3(x-5))=0[/tex]
[tex](x+1)(x+3)(x-5)=0[/tex]
[tex]\implies x=-1,-3,5[/tex]
Hence, the x-intercept are
-3,-1 and 5
Answer:b on edg 2020
Step-by-step explanation:
Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.
What scale is used on the plan?
Answer:
Scale = 1/200 = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Step-by-step explanation:
Scale is the ratio of the original object to the drawn plan.
Scale = plan : original
Scale = plan length ÷ original length
Plan length = 7.5 centimeters
Original length = 1.5 meters = 1,500 centimeters
Substituting the values;
Scale = 7.5/1500 = 1/200
Scale = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Please help with this simple attachment Extremely Easy!
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]1/12 \times 3/4[/tex]
[tex]3/48[/tex]
[tex]=1/16[/tex]
1/16 ft^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
Answer:
C. f(x) = x4(x – a)(x – b)2
Step-by-step explanation:
just took the test on edge
A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².
How to interpret the graph?In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.
This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:
x⁴x - a(x - b)²In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².
Read more on multiplicity here: https://brainly.com/question/3791218
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The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?
A. 5/12
B. 1/2
C. 7/12
D. 2/3
7/12
12/12 is the total
So 12/12 minus 5/12 is 7/12
Correct me if I am wrong
Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
Answer:
s cubed
Step-by-step explanation:
Formula for volume of a cube is side ^3
The volume of cube with side length s is s cubed.
What is cube?
A cube is a region of space formed by six identical square faces joined along their edges.
What is the formula for the volume of cube?The volume of cube is defined as the total number of cubic units occupied by a cube.
The Formula for the volume of cube is given by
[tex]v = a^{3}[/tex]
Where, v is the volume of cube
and, a is the side of cube.
According to the given question we have
The side length of cube is s.
Therefore, the formula for finding the volume of cube is given by
volume of cube = [tex]s^{3}[/tex]
Hence, the volume of cube with side length s is s cubed.
Learn more about the volume of cube here:
https://brainly.com/question/27770332
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Help please with questions 1-2
15 points
Answer:
1) C)[tex]\sqrt{149}[/tex]
2) A) Yes
Step-by-step explanation: