Answer:
a. yes there is a proportional relationship
b. I believe the constant is -3
PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.
9514 1404 393
Answer:
y = 3x^2 +30x +69
Step-by-step explanation:
Transformations work this way:
g(x) = k·f(x) . . . . vertical stretch by a factor of k
g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)
__
So, the translation down 2 units will make the function be ...
f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2
The vertical stretch by a factor of 3 will make the function be ...
f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)
The horizontal translation left 5 units will make the function be ...
f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)
The transformed function equation can be written ...
y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)
y = 3x^2 +30x +69
__
The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.
The face of a clock has a circumference of 14π inches. What is its area?
Answer:
A = 49π
Step-by-step explanation:
C = πd
if d = 14 then r = 7
A = πr²
A = π · 7²
A = 49π
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion)
If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution to this equation is x = 7, what are the dimensions of the rectangle?
Answer:
l= 28 feet
b = 2 feet
Step-by-step explanation:
The perimeter of a rectangle is given by;
P= 2(l + b)
Comparing this to the equation; 8x + 4 = 60, i can write;
2(4x + 2) = 60
This means that;
l = 4x
b = 2
but x =7
So;
l = 4* 7 = 28 feet
b = 2 feet
NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
A.
x > 3
B.
x > 4
C.
x > 5
D.
x > 7
Answer:
D. x > 7
Step-by-step explanation:
The mine operates x hours per day and extracts 2 tons of ore per hour.
The amount of ore extracted as a function of hours of operation is
2x
The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.
2x > 14
Divide both sides by 2.
x > 7
Answer: D. x > 7
Describe y= -3x+4 in words.
Answer:
y=-3x+4
put x =0
y=-3(0)+4
y=4
putx=1
y=-3(1)+4
y=-3+4
y=1
Can someone help? Correct answer gets brainliest!
Answer:x= 8
Step-by-step explanation:11-3=8. 8+3=11
May you please help me with this
Answer:
ratio of a is 44:56, ratio of b is 97:3
fraction of a is 44/100, fraction of b is 97/100
decimal of a is 0.44, decimal of b is 0.97
percent of a is 97%, and percent of b is 97%
if this is wrong im so sorry :()()()()(
step-by-step explanation:
What is the longest side of a right triangle?
A )Right Angle
B) Hypotenuse
C)Lega
D )Leg B
15 points, 8-9 grade work
Polynomials
P(x) = 2x^4 + 3x^2 - 5x + 7
q(x) = -2x^2 + 4x - 3
calculation:
A. p(x) + q (x)
B. 2 • p (x)
C. p (x) - q (x)
D. 3 • p (x) + 4 • q (x)
E. p (x) • q (x)
F. (P (x) ) ^2
Answer:
A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x⁴+x²-x+4
B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x⁴+6x²-10x+14
C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x⁴+5x²-9x-2
D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴+x²+x+9
E. p (x) • q (x)=sorry it is quite long.
F. (P (x) ) ^2this too.
HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?
Answer:
5 foot
Step-by-step explanation:
6 (8j - 3l + 9 ) 12l + 14j
Answer:
5822j-15972
Step-by-step explanation:
Answer:
5822j-15972
Step-by-step explanation:
Em cada caixote cabem 30 dúzias de laranjas. Um caminhão está carregado com 80 caixotes de laranjas. Quantas
laranjas, no total o caminhão está carregando?
Responda:
2400 dúzia
28800 laranjas
Explicação passo a passo:
se cada caixa pode conter 30 dúzias de laranjas e há 80 caixas, então para descobrir quantas dúzias há 30x80=2400
mas isso é quantas dezenas existem. Uma dúzia = 12 laranjas para descobrir quantas laranjas multiplicam as dúzia por 12 2400x12 = 28800 laranjas totais
Convert to 0,125km
to centimetres..........
Answer:
12500 cm
Step-by-step explanation:
0,125 km = 125 m (times 1000 because 1 km = 1000 m)
125 m = 12500 cm (times 100 because 1 m = 100 cm)
To solve this equation we must first -
2x - 4= 10
O subtract 4 from both sides
O add 4 to both sides
divide by 4
O multiply by 4
Answer:
divide by 4
Step-by-step explanation:
2x - 4 = 10
10 ÷ 4 = 2.5
2.5 ÷ 2 = 1.25
x = 1.25
Answer:
ADD 4 to both sides
Step-by-step explanation:
2x-4=10
2x+4=10+4
2x=10+4
2x=14
2x/14
x=7
Hope this helps:)
Which angle is a VERTICAL angle to∠8?
Step-by-step explanation:
alternate angle is vertical to it
PLEASE HELP WILL MARK BRAINLIEST!!!
Select all that are equivalent to sin∠GFH
Answer:
I think sin<GEJ IS equivalent to sin∠GFH
All that are equivalent to sin∠GFH is
D) cos(<EGJ)
"Corresponding angles"sin(<GEJ)cos(<FGH)cos(<EGJ)
From the image JE and HF are parallel.
So angle GFH and angle GEJ are corresponding angles.
So they are equal.
so, sin(<GFH) = sin(<GEJ).
From triangle GFH, <GFH+<FGH = 90.
So, sin(<GFH) =cos(<FGH).
Again <FGH = <EGJ.
So, sin(<GFH) =cos(<EGJ)
All that are equivalent to sin∠GFH is cos(<EGJ).
Thus, the correct answer is D.
Learn more about corresponding angles: https://brainly.com/question/2009183
cuánto mide el ángulo ABF
Answer:
no tengo suficiente information para responder
Step-by-step explanation:
On an inch ruler, which mark is halfway between the 12-inch mark and the 3-inch mark?
Answer:
8 and half 8/2 8.5, wait or 7/5 or 7.5
Step-by-step explanation:
Answer:
7 1/2
Step-by-step explanation:
10x - 4y for x = 14 and y = 5 PLEASE!
Answer:
120
Step-by-step explanation:
10(14)-4(5)
=140-20
=120
Answer:
120.
Step-by-step explanation:
10(14)-4(5)
140-20
120.
Guys help please I need this done in like 5-10 mins I will mark u brainliest please
Answer:
HI
Step-by-step explanation:
U got this (:
Answer:
1/4
Step-by-step explanation:
rise=y it takes him 4 minutes to run 1 km so rise over run would be 1//4
run=x
and him running 1 minute is half a meter
or do you need slope fomula
this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest
Select the correct answer.
What are the factors of the function represented by this graph?
A. (x − 4) and (x − 8)
B. (x − 4) and (x + 8)
C. (x + 4) and (x − 8)
D. (x + 4) and (x + 8)
The factors of the function represented by the graph are (x + 4) and (x - 8)
How to determine the factors of the function represented by the graph?From the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that:
The graph intersects with the x-axis at x = -4 and x = 8
So, we have
x = -4 and x = 8
Set the equations to 0
So, we have
x + 4 = 0 and x - 8 = 0
This means that the factors of the function represented by the graph are (x + 4) and (x - 8)
Read more about factors at
https://brainly.com/question/22048680
#SPJ1
ooth
3 12100
Х
-3
-2.
у
5
2
-1
4
-7
What is the slope?
Someone help:
Decrease 120 by 60%
Answer:
48
Step-by-step explanation:
if increase⇒100%+the percentage given in the question
e.g ⇒ increase N (number) by 50%
so 150/100×N
if decrease⇒100% - the percentage given in the question
e.g ⇒ decrease N (number) by 70%
so 30/100×N
the answer of this question by steps is:
100%-60%=40%
40/100×120=48
In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree
Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
[tex] = \tt100 - 40 + 24[/tex]
[tex] = \tt 100 - 64[/tex]
[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
[tex] = \tt36 \% \: of \: x = 72[/tex]
[tex] = \tt \frac{36}{100} \times x = 72[/tex]
[tex] = \tt \frac{36 \times x}{100} = 72[/tex]
[tex] = \tt \frac{36x}{100} = 72[/tex]
[tex] = \tt 36x = 72 \times 100[/tex]
[tex] = \tt36x = 7200[/tex]
[tex] = \tt x = \frac{7200}{36} [/tex]
[tex] \color{plum} = \tt \: x = 200[/tex]
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
[tex] = \tt40 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{40}{100} \times 200[/tex]
[tex] = \tt \frac{40 \times 200}{100} [/tex]
[tex] = \tt \frac{8000}{100} [/tex]
[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
[tex] = \tt24 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{24}{100} \times 200 [/tex]
[tex] = \tt \frac{24 \times 200}{100} [/tex]
[tex] = \tt \frac{4800}{100} [/tex]
[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, the total number of leaves on the tree = 200
The number of leaves is on the tree is 200.
Given that,
There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.Now as per the above explanation:
The percentage of half yellow trees should be= 100 - 40 + 24
= 100 - 64
= 36
Here we assume the number of leaves on the tree be x
So,
36% of x = 72
x = 200
Therefore we can conclude that the number of leaves is on the tree is 200.
Learn more about the tree here: brainly.com/question/2656951
Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?
Answer:
Step-by-step explanation:
Yes, she does
Answer:
Yes, she does
Step-by-step explanation:
That's not an answer for me
Answer:
so you need a answer or a question
Answer:
child anywaysssss
Step-by-step explanation:
yfgxgx
Kate got 2 out of the 3 questions correct on her pop quiz what is her grade
Answer:
0.6666666666etc but you have to round it to 67 because it is closer to 67
Step-by-step explanation:
Use the FOIL method to check your answer from part A.
Answer:
(x+12)(x+4)
x²+12x+4x+48
x²16x+48
Step-by-step explanation:
your right
(a+b)(c+d)
ac+ad+bc+bd
solve the system of linear equation by graphing
Answer:
Step-by-step explanation:
x + 2 = -1/2x + 2
3/2x + 2 = 2
3/2x = 0
x = 0
y = 0 + 2
y = 2
(0, 2)