Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
g'(x) = (x-3)² + 2
Step-by-step explanation:
g'(x) = (x+2 - 5)² + 2
What is the GCF of the numerator & denominator below?
(x-2)(x+3)/x^2+4x+3
Answer:
Step-by-step explanation:
Factorize the denominator
Sum = 4
Product = 3
Factors = 1 , 3 {1*3 = 3 and 1+3 = 4}
x² + 4x + 3 = x² + x + 3x + 1*3
= x(x + 1) + 3(x + 1)
= (x + 1)(x + 3)
GCF of the numerator and denominator = (x + 3)
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
Step-by-step explanation:
This the answer in the photo
Order the sides or angles of each triangle from least to greatest.
Answer:
SU , UT , ST
Step-by-step explanation:
asap 50 points!
-3xy = what when x=5 and y= -6
answers :
-90
90
-33
33
Answer:
I think its 33
Step-by-step explanation:
i may be wrong
Answer:
choice 2) 90
Step-by-step explanation:
-3xy = ?
x=5 and y= -6
-3(5)(-6) = 90
Multiply: 7,277x6
Please hurry!
43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
4a-2b=10 what is the value of 2b-4a?
Answer:
-10
Step-by-step explanation:
4a-2b=10
-1(4a-2b)=-1*10
-4a+2b= - 10
2b - 4a = - 10
Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
Answer:
c = 5/Cos 35
Step-by-step explanation:
We are given the following
m<ACB = 90degrees
m<ABC = 35degrees
The side opposite to m<ABC is AC
BA = hypotenuse
CB = adjacent = 5inches
Required
Equation to solve BA which is c
Using the Pythagoras theorem;
Cos theta = Adjacent/Hypotenuse
Cos m<ABC = CB/BA
Cos m<ABC = 5/c
c = 5/cosm<ABC
c = 5/Cos 35
Hence the equation that can be used to solve for c is c = 5/Cos 35
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer:47.5
Step-by-step explanation:
What is the value of 3^2+4(2+4)x6 divided by 8+4
Answer:
its 31
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:x=3
Step-by-step explanation:
the 3 angles of a triangle equal 180
you add 105 and 46, which equals 151
you subtract 151 from 180 to see what the missing angle is (29)
you would make 6x+11 equal to 29
-subtract 11 from 29= 18
6x/6, 18/6
the answer is 3
hope this helps! :)
I need help on this plz thanks
Answer:
its a black screen
Step-by-step explanation:
11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?
James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information? A.) 45=20t B.)r+20=32 C.)45=(r+20)t+r D.)(r+20)t=r
Answer:
(r + 20)t = r
Step-by-step explanation:
Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.
From wedding back home. :
Recall : Distance = speed * time
Distance = r * 1 hour
From home to wedding :
Speed = 20 mph more ; r + 20
Time = t
Distance = (r + 20)* t = (r +20)t
Since the distance are the same, we can equate both :
(r + 20)t = r * 1
= (r + 20)t = r
According to the line plot, what is the total distance run for all of the runners combined?
Answer:
Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles
Step-by-step explanation:
1/5 + 2(1/4) + 4(1/3) + 3(1/2)
please help me with my math
Answer:
SA = 480 cm²
Step-by-step explanation:
Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)
Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)
= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]
= 24 + 216
= 240 cm²
Area of the rectangular surface of the prism = 8 × 12 = 96 cm²
Surface area of the rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = width and h = Height of the rectangular prism
= 2(8 × 12 + 12 × 6 + 6 ×8)
= 432 cm²
Surface area of the composite figure = (240 - 96) + (432 - 96)
= 144 + 336
= 480 cm²
Simplify the following expression.
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
how many parts 1/6s does it take to name the same amount as 1/3
Answer:
Two 1/6 pieces
Step-by-step explanation:
Two 1/6 pieces equals 1/3 of the apple
Hiiiooo can someone please help me ❤️❤️:D
Answer:
10
Step-by-step explanation:
because it shows where the line is
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =
Answer:
x = 48
Step-by-step explanation:
From the given diagram, the sum of the angles given is equal to 180 degrees as shown;
x+y+2x = 80
Since y = 36
x +36+2x = 180
3x = 180 - 36
3x = 144
x = 144/3
x = 48
Hence the value of x is 48
I think it’s 14? Is that right or no?
Answer:
Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!
Step-by-step explanation:
I need the answer in under 34 min
Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
Find the slope of the line graphed
Answer:
the slope of the line is -2
Answer:
a = 2/5 or 0.4 (a is the slope value)
Step-by-step explanation:
y-int=-2
x-int=5
| x-int | / | y-int | = slope
|-2| / |5| = 2/5
what is -1 3/10 + -3.8
Answer:
answer
Step-by-step explanation:
=convert 3.8 into mixed number
=3 4/5
=1 3/10+3 4/5
=5.1 in mixed fraction
=5 1/10
if i got it wrong i am seriously sorry!
Write and solve a proportion to answer the question.
75% of 124 is what number a
?
Write and solve a proportion to answer the question.
72 is what percent of 45?
Find the volume of a rectangular prism with a length of 6 cm, width of 2 cm and height of 5 cm. What is the volume of the prism
Answer:
60 cm^3
Step-by-step explanation:
is -3 rational number
Answer:
Step-by-step explanation:
Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted Q
.
Since −3 can be written as −3/1
, it could be argued that −3 is also a real number.
Answer:
yes
Step-by-step explanation:
Any rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← a and b are integers , then
- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form
Thus - 3 is a rational number
Andrew cut 24 feet of chain into pieces that were each 1/3ft long. How many of these pieces did Andrew have after cutting the chain?
Answer:
72
Step-by-step explanation:
1/3 ft is 4 inches
24 feet is 288 inches
take 288 and divide it by 4
you get 72, which is the number of pieces of chain Andrew has
Two families go to a baseball game. One family purchases two adult tickets and
three youth tickets for $33. Another family purchases three adult tickets and two
youth tickets for $37. Find the individual price of each adult and youth ticket.
Drag fruit to represent each total weight shown.
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answer:
x = 8
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the given values of x and y, and solve for k:
y = kx
-8 = k(-2)
4 = k
So, the equation is y = 4x
Using this, plug in 32 as y, and solve for x:
y = 4x
32 = 4x
8 = x
So, x = 8 when y = 32