Answers
Related Questions
Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19
X=?
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But I have the answer for (x-intercept) X= -4/5 (y-intercept) F(0)=16
What are the roots of the function
2x^2-8x=0
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Answer:
[tex]x=0[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
The roots of a function (also known as "x-intercepts" or "zeroes") are defined where y=0. Therefore, we will solve the quadratic:
[tex]2x^2-8x=0[/tex]
[tex]2x(x-4)=0[/tex]
[tex]x=0[/tex] and [tex]x=4[/tex]
For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.
Answers
Answer:
12
Step-by-step explanation:
Solve the equations.
[tex]3(x+4)^{2} =10x+32\\(x+4)^{2} =3x+40\\\frac{x^{2} -1}{2} -11x=11[/tex]
Answers
Answer:
a) x = {-2 2/3, -2}
b) x = {-8, 3}
c) x = {-1, 23}
Step-by-step explanation:
If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.
__
In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.
a)3(x+4)^2 = 10x +32 . . . . . given
3(x^2 +8x +16) -10x -32 = 0
3x^2 +14x +16 = 0
To factor this, we're looking for factors of 3·16 that total 14.
48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8
The last pair of factors has a total of 14, so we can rewrite the equation as ...
(3x +6)(3x +8)/3 = 0
(x +2)(3x +8) = 0
The solutions are the values of x that make the factors zero:
x = -2, x = -8/3
__
b)(x +4)^2 = 3x +40 . . . . . . . . given
x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side
x^2 +5x -24 = 0 . . . . . . . . simplify
(x +8)(x -3) = 0 . . . . . . factor
The solutions are the values of x that make the factors zero:
x = -8, x = 3
__
c)(x^2 -1)/2 -11x = 11 . . . . . given
x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side
x^2 -22x -23 = 0 . . . . . . simplify
(x -23)(x +1) = 0 . . . . . . factor
x = 23, x = -1
_____
Additional comment
Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.
factoring by pairs
We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.
3x^2 +6x +8x +16 = 0
Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.
(3x^2 +6x) +(8x +16) = 0
3x(x +2) +8(x +2) = 0
(3x +8)(x +2) = 0 ⇒ x = -8/3, x = -2
__
factoring using the X method
This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.
In the bottom quadrant is written the coefficient of the x-term: 14.
If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.
The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.
Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)
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alternate X method
This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...
(ax +p)(ax +q)/a = 0
You will notice we used this form above: (3x +6)(3x +8)/3 = 0.
Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...
(x +2)(3x +8) = 0
__
Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...
[tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]
Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35
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By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
Very important question ☺️
Answers
Answer:
130⁰
Step-by-step explanation:
Let,
<Q = x
<R = y
So,
In ∆PQR
2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)
2(x + y) = 180 - 80
2(x + y) = 100
x + y = 100/2
x + y = 50
Now,
In ∆QOR
x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)
50 + QOR = 180
QOR = 180 - 50
QOR = 130⁰
Evaluate
3
2
+
(
−
k
)
+
(
−
2
)
2
3
+(−k)+(−2)start fraction, 3, divided by, 2, end fraction, plus, left parenthesis, minus, k, right parenthesis, plus, left parenthesis, minus, 2, right parenthesis where
k
=
−
5
2
k=−
2
5
k, equals, minus, start fraction, 5, divided by, 2, end fraction.
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Answer:
Iam very confused on this Answer please help me
Step-by-step explanation:
Can someone plz help Me?
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Answer:
It’s A :D
Step-by-step explanation:
3 goes into 12 4 times
4 times 4 equals 16
so 16 can of soup
and then! 4 goes into 36 9 times
Click the picture to see inside! :3
Hope this helps :DDD
helppppppppp[pppppp[pppppppppp
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Answer:A
Step-by-step explanation:i mean that sound logiclity correct
if you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find My number.
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Answer:
Step-by-step explanation:
The number is 12.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than two-thirds of my number.
-> 3(n + 12) = 64 more than
-> 3(n + 12) = 64 + 2n/3
[Given]
3(n + 12) = 64 + 2n/3
[Distribute]
3n + 36 = 64 + 2n/3
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
hence, The number is 12.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Can someone plz help Me?
Answers
Answer:
A and C
Step-by-step explanation:
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answers
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
find the gfc of 22x , 33
Answers
Answer:
11
Step-by-step explanation:
22x = 2 · 11 · x
33 = 3 · 11
common factor to both is 11
Find the equation of a line perpendicular to y - 1= -x that passes through the
point (-4,-8).
1.) y = x - 4
2.) y = -x - 4
3.) y = -x - 1
4.) y = x - 1
Answers
Answer:
4
Step-by-step explanation:
firstly you separate y
y=-x-1
which means that the slope is equal to -1
then you flip the slope so -1 over -1 which is equal 1
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
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Answer:
a is possible
b is not possible
c is possible
EASY QUESTION! GET EASY POINTS!
if i paid $3.50 a month, how much would i pay a year?
EASY BRAINLIEST!
yw:)
Answers
Therefore, you will pay $42 after a year.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Answer:
42
Step-by-step explanation:
3.5*12=42
A river flows at the rate of 12 feet per minute. What is the rate in second per foot?
Answers
Explanation:
There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.
I need help on this. I've no idea about this. Please help me...
Answers
Answer:
Answers are below.
Step-by-step explanation:
Hope this helps:)
Solve
x ^ 4 -8x ^ 2 – 9 = 0
Answers
Answer: 0 is the answer
Step-by-step explanation: your welcome its 0
Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest
Answers
Answer: -13
Step-by-step explanation:
Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)
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With the center of dilation at the origin, the image is given by the product
of the corresponding point on the preimage and the scale factor.
The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]Reasons:
The center of dilation of quadrilateral MNOP = The origin
The image following the dilation of MNOP = M'N'O'P'
The scale factor of dilation = 1.5
Required:
The coordinates of N'
Solution:
The coordinates of N in MNOP = N(3, 3.5)
The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;
(x', y') = Scale factor × (x, y)Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = C) (4.5, 5.25)Learn more about dilation transformation here:
https://brainly.com/question/12561082
Answer:
C) (4.5, 5.25)
Step-by-step explanation:
The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.
Answers
The length of the side of the smaller cube is 3.48cm
Let the length of the smaller side be xThe length of the bigger side will be x + 2Volume of the smaller cube = x^3Volume of the larger cube = (x+2)^3If their volumes differ by 152 cm^3, then;
x^3 - (x+2)^3 = 153
Expand
x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153
x^3-x^3-12x^2-24x + 16 = 153
-12x^2-24x + 16 = 153
12x^2 + 24x - 16 - 153 = 0
12x^2 + 24 -169 = 0
On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm
Learn more on volume of cubes here: https://brainly.com/question/1972490
ANSWER PLZZ NO LINKS PORFA
How many miles longer is Trail A than Trail B?
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Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.
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Answer:
1/36.
Step-by-step explanation:
She gets 1 on the first dice and 1 on the second.
This is the only way Sarah can get a sum of 2.
The total possible outcomes is 6*6 = 36.
So the required probability is 1/36.
what is the length of XY
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Answer:
15
Step-by-step explanation:
the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price
can someone please awnser this right away
Answers
Answer:
[tex]25 \times \frac{60}{100} = 15[/tex]
Step-by-step explanation:
Multiply 25 by 60%
MARKING BRAINLIEST PLEASE HELP
Answers
what is 69+69-69+1-1+0
Answers
Answer:
207
Step-by-step explanation:
is this a function
Find the domain and range
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Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
tickets at a particular movie theater have different rates for adults and children. On tuesday the theater sold 8 adult tickets and 9 tickets for 174. the next day the theater sold 5 adult tickets and 7 children tickets for 117. What is the price for the adult ticket and the price for the child ticket
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Answer:
Adult = $15 pp
Child = 46 pp
Step-by-step explanation:
Let A and C be the price of Adult and Child's tickets, respectively.
We can set up equations for each of the two days, Tuesday and Wednesday. Each equation adds the totals paid for the two ticket levels and set it equal to the total income for that day:
Tues: 8A+9C=174
Wed: 5A+7C=117
We have two equations and two unknowns. Let's manipulate one of the equations in a way that allows us to eliminate one of the two variables, A or C. [One can also solve either equation to isolate one of the variables, and then use that in the second equation.]
I chose to multiply the first by 5 and the second by -8, in order to make the coefficients for A the same value in both equations, but opposite in sign:
Tues: 40A+45C = 870 [Multiply by 5]
Wed: -40A -56C = -936 [Multiply by -8]
-11C = -66 [Add the two equations]
C = 6 [Ta Da. Now use this price for a child's ticket in either of the original equations to find the cost of an adult ticket.]
8A+9C=174
8A+9*(6)=174
8A+54=174
8A = 120
A = 15
====
Use these two prices in the original equations to see if they indeed add up to the correct totals for each day.
Total Sales
Price Tues Wed Tues Wed
A 15 8 5 120 75
C 6 9 7 54 42
174 117 174 117 [The prices are correct]
Adult is $15 and child is $6