Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:
(i) Vertical stretch
[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]
(ii) Reflection over the x-axis
[tex]g(x) = -f(x)[/tex]
Let prove both transformations in [tex]h(x)[/tex]:
Step 1 - Vertical stretch ([tex]k = 4[/tex])
[tex]h'(x) = 4\cdot x^{2}[/tex]
Step 2 - Reflection over the x-axis
[tex]k(x) = -4\cdot x^{2}[/tex]
Hence, correct answer is A.
1/3 of 18 helpp please
Answer:
6
Step-by-step explanation:
the answer to 1/3 of 18 is 6.
Given the vertex form of a parabola
The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answer:
If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1
The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Given that;
The given function is,
⇒ f (x) = x²
Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;
⇒ g (x) = (x - h)² + k
Where, (h,k) is the vertex of the parabola.
Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),
Therefore, the equation of parabola is,
⇒ g (x) = (x - 4)² + 1
Thus, The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Learn more about the function visit:
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Its c have a nice day! <3
Step-by-step explanation:
Giving brainliest and max rating.
Answer:
5+-2
Step-by-step explanation:
it
Simplify this expressions 5x -7 + 3x + 10
Answer:
8x + 3
Step-by-step explanation:
=5x+−7+3x+10
=(5x+3x)+(−7+10)
=8x+3
Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.
4 - 2 = 2
If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.
4/6 - 2/6 = 0.33333333333
So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000
That's all I could come up with. Don't judge me
PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
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Can any one help me 11 points no lnks pls. Just help with any of these
Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
Hope that helps!
-scsb
Step-by-step explanation:
Answer:
66
20
3
1/3
Step-by-step explanation: Can I get brainliest? Thanks!
5. m∠2 = 180-59-55 = 66
m∠1 = 180-66 = 114
6. 2x+3x+4x=180
x(2+3+4)=180
x(9)=180
x=180/9=20
Plug back in to check:
2(20)+3(20)+4(20)=40+60+80=180
7. (3,8) to (9,24)
(9,24)/(3,8) = (3,3) so scale factor = 3
8. (12,15) to (4,5)
(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3
2/5p-3.11=1.13
what is p
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?3(4x+6)=-4
What property did you use to solve this problem?
Answer:
The distributive property
Step-by-step explanation:
You have to distribute the 3 to the parenthesis so it is the distributibe property.
What is the solution to the equation?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]
Take cube,
[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
$120 for mowing 4 lawns =$_ per lawn
19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2
Answer:
4
Step-by-step explanation:
First, solve for x:
4 + 2(3x - 4) = 8
4 + 6x - 8 = 8
6x = 12
x = 2
Now, plug x into 4x - 4:
4(2) - 4 => 8 - 4 = 4
I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?
Answer:
$11,000
Step-by-step explanation:
1st year the account earned 20% from $25,000 = $5,000 | total = $30,000
2nd year the account earned 20% from $30,000 = $6,000
by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000
Find the missing side of this right
triangle.
Answer: I believe it’s 15
Step-by-step explanation:
What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]
Answer:
12×5+45-36=60+9=69 is your answer
Answer:
12×5=60+45=105-36=69
what is the slope?
please hurry!
y=-x - 3
Answer:
Step-by-step explanation:
slope =
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 3 = (x - 2) is in this form
with slope m =
Answer:
-x is the slope
Step-by-step explanation:
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:A-false B-false C-true D-true E-false
Step-by-step explanation:
if im wrong pls tell me :)
Someone help and please make sure the answer is right :)
Can someone plz correct me I got that wrong plz I beg u
Answer:
2400
Step-by-step explanation:
Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter
Answer:
You know that the Pythagorean Theorem is:
a²+b²=c²
,
Where:
a
is the length of one of the legs,
b
is the length of the other leg, and
c
is the length of the hypotenuse.
You know the lengths of the two legs are
7 and 11
, so we'll say that
a is 7 , and b is 11
Knowing that, we can plug those into our equation and simplify like so:
7²+11²=c²
49+121=c²
170=c²
√170=c
c=13.0384
Answer:
√72Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 inSimplify (8.3) 2.10.(6-1)
Answer:
[tex]8 .3 \times 2.10.5[/tex]
Step-by-step explanation:
Simplify 6 - 1 to 5.
[tex]8.3 \times 2.10 .5[/tex]
Therefor, the answer is 8.3 × 2.10.5
identity the vertex, focus, and directrix
Answer:
vertex: (0, 0)
focus: (-7, 0)
directrix: x=7
Step-by-step explanation:
divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p ---------> x=7WILL MARK!!
Select the correct answer.
Which function does this graph represent?
Answer:
I believe the answer is C
Step-by-step explanation:
Multiply (9x + 2) (2x - 3). What is the product?
Answer:
18x^2-23x-6
Step-by-step explanation:
multiply: 9x*2x-9x*3+2*2x-2*3
18x^2-9X(3)3+2(2X)-2(3)
18X^2-27x+4x-6
18x^2-23x-6
• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000
Complete question :
a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?
Answer:
$40000
Step-by-step explanation:
Offer :
For every $120 spent ; $3 is donated
In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;
$120 = $3
$x = $1000
Cross multiply
$(120 * 1000) = $3 * x
$120000 = $3x
x = 120000 / 3
x = 40,000
Hence, in other to raise $1000 ; $40000 would have to be spent by customers.
Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)
Answer:
=14m^2p^2+7m^2p+7mp^2+7mpx
Find the solution of the system of equations.
4x – 5y = 46
-4x – 4y = 8
Answer:
(4,-6) or x=4 and y= -6
Step-by-step explanation:
Answer:
x = 4 ; y= -6
Step-by-step explanation:
-9y = 54
y = -6
4x +30 = 46
4x = 16
x = 4
Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24