Answer:
f(x) is translated 1 units left to give g(x)
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x - 1)^2[/tex]
Required
How does f(x) transform to g(x)
[tex]f(x) = x^2[/tex]
When translated by b units left, it gives:
[tex]g(x) = f(x - b)[/tex]
In this case:
[tex]b = 1[/tex]
So:
[tex]g(x) = f(x - 1)[/tex]
If [tex]f(x) = x^2[/tex], then
[tex]f(x - 1) = (x - 1)^2[/tex]
Hence:
[tex]g(x) = (x - 1)^2[/tex]
This implies that; f(x) is translated 1 units left to give g(x)
Check out this rectangular prism: Find the surface area of the rectangular prism (above) using its net (below).
Answer:
Please tell me more
Step-by-step explanation:
i bought a box of air head worth $7.98 there are 60 bars in the box, how much is 1 air head worth? please help
Answer:
$0.13
Step-by-step explanation:
7.98/60 = 0.133
round down to 0.13
Answer:
I believe the answer is $0.13
Step-by-step explanation:
You need to divide the price of the air heads ($7.98) by how many bars there were in the box (60). 7.98/60= 0.133
Then you round the answer to the nearest hundredth: 0.133= $0.13
help me with this and ill give brainliest!
Answer:
16. 2/3, 4/6, 16,24
17. 3/7, 30/70, 300,700
18. 5/8 15/24, 10/16
Step-by-step explanation:
All you do is either multiply or divide quotient/denominator by the same number as denominator/quotient
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth
Answer:
V=πr2h3
r Radius
h Height
Right circular cone
Answer:
its going to be 21 or 20 I think I'm not sure
Can someone help me with this please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Witch answer choice represents a person running 90 calories by climbing 18 flights of stairs
Answer:
fr
Step-by-step explanation:
fr
work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]
Hope this helps.
A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.
Answer:
36.9°
Step-by-step explanation:
As shown in the diagram attached,
θ is the acute angle formed at the intersection of the diagonals of the rectangle.
From the diagram,
tan(θ/2) = 10/30
tan(θ/2) = 1/3
θ/2 = tan⁻¹(1/3)
θ/2 = 18.43
Therefore,
θ = 18.43×2
θ = 36.87
θ = 36.9°
Hence the acute angle formed is 36.9°
Find the slope of the line
Answer:
Your answe is 1
Step-by-step explanation:
Formula : y2-y1/x2-x1
11) Nick & John ordered burritos & tacos for lunch. Nick
ordered 3 burritos & 4 tacos for $11.33. John ordered 9
burritos & 5 tacos for $23.56. Find the cost of one
burrito & one taco.
Answer:
taco: $1.49 each
burrito: $1.79 each
Step-by-step explanation:
Let b = cost of one burrito
t = cost of one taco
(1) 3b + 4t = 11.33 (2) 9b + 5t = 23.56
Multiply (1) by -3 and add to (2) -9b - 12t = 33.99
- 7t = - 10.43
t = 1.49
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 5.37
b = 1.79
A rectangular prism is shown below. Find the volume. 1.3 ft 1.5 ft 2.3 ft 23 “ Your answer can be exact or rounded to the nearest tenth.
Answer:
4.485 ( rounded = 4.5)
Step-by-step explanation:
1.3 x 1.5 x 2.3 = 4.485
What is the distance from -7 to 5 on a number line?
2
4
-12
12
Answer:
12 units
Step-by-step explanation:
Find the absolute value of the difference , that is
d = | - 7 - 5 | = | - 12 | = 12 or
d = | 5 - (- 7) | = | 5 + 7 | = | 12 | = 12
The distance from -7 to 5 on a number line is 12 units. This distance between two integers is calculated by using a number line and the absolute value of the difference between those two integers.
What is a Number line?A number line is a graph for the real numbers.It is used to represent the integers on it at a regular interval. It is also used for finding arithmetic operations like the addition and subtraction of integers.The positive integers lie on the right side of the number line and the negative integers lie on the left side of the line The zero lies at the center of the line which separates the positive and negative integers.How to calculate the distance between two integers on a number line?For calculating the distance between two integers, count every integer in between themA faster way of finding the distance between the two integers is by taking the absolute value of their differenceIf A and B are two integers, then the distance between them is given by |B - A|Calculating the distance from -7 to 5 on the number line:
⇒ | 5 - (-7) |
⇒ | 12 |
= 12 units
Therefore, there are 12 units in between the given two integers -7 and 5 on a number line which is shown below
Learn more about the number line here:
https://brainly.com/question/3887107
#SPJ2
In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.
Answer:
58
Step-by-step explanation:
The length of BD is 58 units.
What are properties of parallelogram?The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.
Given:
ED = 7x - 13 and BD = 16x - 38
So, the Diagonals of parallelogram bisect each other
BD = ED+ EB
16x - 38 = 2 ED { ED= EB}
16x - 38 = 2 (7x- 13)
16x - 38 = 14x - 26
2x = 12
x= 6
So, length of BD = 16(6) - 38 = 96- 38 = 58 units
Learn more about properties of parallelogram here:
https://brainly.com/question/26651476
#SPJ2
please help me im giving you a lot of points
Answer:
7w13 times4y2
Step-by-step explanation:
Please help me with this!!
Please help me.. I’m not really good at math so please??
Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?
Answer:
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
A cable is 60 meters long.How long is it in decimeters
Answer:
600
Step-by-step explanation:
cus
Answer:
600 decimeters
Step-by-step explanation:
60 times 10
Write 3-5 sentences about the process of the Difference of squares Factoring Method
Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?
If the sum of 37 and 12 x is 286, what is the value of x?
Answer:
x = 20.75
Step-by-step explanation:
37 + 12x = 286 <-- Subtract 37
12x = 249 <-- Divide by 12
x = 20.75
Can some one plz help me
Answer:
Step-by-step explanation:
A is midpoint of DB
DA ≅ AB ------------------(I)
B is midpoint of AE
BE≅ AB ---------------(II)
From (I) & (II)
DA ≅ AB
∠D ≅ ∠E Given
CD ≅ CE {Sides opposite to equal angles are equal}
ΔCDA ≅ ΔCEB { S A S congruent}
Answer:
AB = BA reflexive property
AB = BE and DA = AB definition of midpoint
then DA = EB
CD = CE ΔCDE is isosceles
ΔCDA ≅ ΔCEB SAS
Step-by-step explanation:
Help please!?!?!?!?!?!?!?!?!
Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
the question is on the picture :)
Answer:
2.5
Step-by-step explanation:
y=kx, k is constant of prop
I know i already answered it i just want to make sure im right can someone double check it for me! Sorry
Answer:
You are correct!!! (<5 and <4 , <3 and <6)
Step-by-step explanation:
5 and 6 are on the same line so they are not alternate and angle 1 is on the outside.
Factor completely x2 - 4x - 12
A. Prime
B. (x - 2)(x - 6)
C. (x + 2)(x - 5)
D. (x - 2)(x + 6)
can you explain how to do it?
Answer:
(x-6)(x+2) D
Step-by-step explanation:
first you need to see which two numbers add up to -4 and multiply to -12 which is -6 and 2
Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?
Answer:
2 hours
Step-by-step explanation:
If the surface area of a cube is 384 square inches, what is the length of each side
Answer:
There are six equal surfaces of a cube. Then,
384 / 6 = 64 sq in (the area of one surface)
The area of one surface of a cube will be equal to x*x (if we let the edge length be x)
x^2 = 64
x = 8 inch
Step-by-step explanation:
The expression on the left side of an equation is shown below.
3 x + 9 = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Emily walked around 2 parks. One measures 54 feet by 38 feet and other measure 32 feet by 22 feet. How much did she walk?
Answer:
292 feet
Step-by-step explanation:
If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.
the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together
Perimeter of a rectangle = 2 x ( length + breadth)
Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft
Perimeter of the second park = 2x (32 + 22) = 108 ft
Sum of the perimeters = 184 ft + 108 ft = 292 ft