Answer:
g(x) = x² + 2
Step-by-step explanation:
If we want to shift a function down, we subtract the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units down → f(x) - b
Similarly, in function notation, if we want to shift a function up, we add the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units up → f(x) + b
Given function f(x) = x²
Shift 2 units up ⇒ x² + 2
Therefore, g(x) = x² + 2
The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and the width.
Answer: Width = 18m
Length = 32m
Step-by-step explanation:
Let the width of a rectangle be x
Let the length of the rectangle be: x+14
Width = 18m
Length = 32m
Check the attachment for the explanation and further details.
10th grade Geo | What does JK equal?
Answer:
16
Step-by-step explanation:
6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.
4x=10
x=2.5
JM=15-7=8 and MK=5+3=8
8+8=16
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8.5 million square kilometers.
If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil?
370,000 people
2,700,000 people
31,500,000 people
195,500,000 people
Answer:
D (195,500,000)
Step-by-step explanation:
8.5 mil times 23 equals D
The number of people living in Brazil that year was approximately 195,500,000 people. The answer is the last option 195,500,000 people
What is Population density?From the question, we are to determine the number of people living in Brazil in that year
From the given information,
Brazil land area = 8.5 million square kilometers = 8500000 km²
Brazil population density = Peru population density = 23 people /km²
From population density formula,
[tex]Population\ density = \frac{Number \ of \ people}{Land\ area}[/tex]
Then,
Number of people = Population density × Land area
Therefore,
Number of people living in Brazil = 8500000 × 23
Number of people living in Brazil = 195,500,000 people
Hence, the number of people living in Brazil that year was approximately 195,500,000 people. The answer is the last option 195,500,000 people
Learn more on Population density here: https://brainly.com/question/26910545
Calculate the value of each expression.
Type each value in the corresponding boxes below.
Answer:
140
-2.6
0
Step-by-step explanation:
60 -(-80) if there is - - that means +
60 + 80 = 140
2.3 + (-4.9) if its + - it just means - ignore the plus
2.3 - 4.9
-2.6
4.5 + (-4.5)
0
Answer:
a.140
b. -2.6
c. 0
Step-by-step explanation:
a.60-(-80)= 60+80 because two negatives make a positive
=140
b. 2.3+(-4.9)= 2.3-4.9
= -2.6
c. 4.5+(-4.5)=0
Please help I will give brainliest.
To find the x-intercept, substitute 0 for y and solve for x.
To find the y-intercept, substitute 0 for x and solve for y.
x-intercepts : (4, 0), (1, 0)
y-intercepts : (0, 4)
9^2 - (4) (2) (-6) what is the answer?
Answer:
129
Step-by-step explanation:
pls heart and give brainliest much appreciated
If < 5 = 35, what is m < 3
Answer:
∠ 3 = 35°
Step-by-step explanation:
∠ 5 and ∠ 3 are alternate angles and congruent, thus
∠ 3 = ∠ 5 = 35°
2t - 15t is equal to
2t-15t is equal to
Answer:
2 result(s) found
t=2
t=
2
11
=5.500
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*t^2-(15*t-22)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
2t2 - (15t - 22) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2t2-15t+22
The first term is, 2t2 its coefficient is 2 .
The middle term is, -15t its coefficient is -15 .
The last term, "the constant", is +22
Step-1 : Multiply the coefficient of the first term by the constant 2 • 22 = 44
Step-2 : Find two factors of 44 whose sum equals the coefficient of the middle term, which is -15 .
-44 + -1 = -45
-22 + -2 = -24
-11 + -4 = -15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -11 and -4
2t2 - 11t - 4t - 22
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (2t-11)
Add up the last 2 terms, pulling out common factors :
2 • (2t-11)
Step-5 : Add up the four terms of step 4 :
(t-2) • (2t-11)
Which is the desired factorization
Equation at the end of step
2
:
(2t - 11) • (t - 2) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : 2t-11 = 0
Add 11 to both sides of the equation :
2t = 11
Divide both sides of the equation by 2:
t = 11/2 = 5.500
Solving a Single Variable Equation:
3.3 Solve : t-2 = 0
Add 2 to both sides of the equation :
t = 2
Supplement : Solving Quadratic Equation Directly
Solving 2t2-15t+22 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
4.1 Find the Vertex of y = 2t2-15t+22
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,At2+Bt+C,the t -coordinate of the vertex is given by -B/(2A) . In our case the t coordinate is 3.7500
Plugging into the parabola formula 3.7500 for t we can calculate the y -coordinate :
y = 2.0 * 3.75 * 3.75 - 15.0 * 3.75 + 22.0
or y = -6.125-0
How do I find the area of a triangle in a coordinate plane
what number does x^2 - 16x + 64 represent when x= -4
Hey there!
Plug in the value of x and evaluate:
x²-16x+64
(-4)²+16(-4)+64
16-64+64
16
Hence, the answer is 16.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
There is no solution to the equation csc x=0.
A. True
B.False
Answer:
True
Step-by-step explanation:
Answer:
i would say that A. would be the answer...because 0 is a #number.
Help please:{ 8th grade Math heh-
Answer:
so it's number 2
Step-by-step explanation:
just try it I'm sure it's right
Answer:
Second option: y = 5(x + 2)
Step-by-step explanation:
Equation that is already graphed: y = 5x - 10
Let's use the second option: y = 5(x + 2)
Since y = 5x - 10, we substitute 5x - 10 into the equation y = 5(x + 2)
The equation will look like this: 5x - 10 = 5(x + 2)
Now we solve: 5x - 10 = 5(x + 2)
5x - 10 = 5(x + 2)
Distribute
5x - 10 = 5x + 10
Rearrange variables to the left side of the equation
5x - 5x = 10 + 10
Apply the inverse property of addition
0 = 10 + 10
Add 10 and 10
0 = 20
Therefore, there is no solution
marking brainlist for correct answer :))
is 16 m2 for the answer hope this works
Lexi ran 2/4 of a mile in 1/10 of an hour. At this rate, in how long does she run one mile?
Answer:A runner ran 20 miles in 150 minutes. If she runs at that speed,. How long would it take her to run 6 miles? ... How fast is she running in miles per hour? ... experience in reasoning with equivalent ratios and unit rates from both sides of the ratio.
Step-by-step explanation:
Answer:
0.2 hours
Step-by-step explanation:
Givens
2/4 mile = 1/2 mile when 2/4 is reduced. 1/2 = 0.5 miles in decimal form.
1/10 = 0.1
0.5 miles 1 mile
======= = ======
0.1 hours x hours
Solution
Cross multiply
x* 0.5 = 0.1 * 1 Combine
0.5 x = 0.1 Divide by 0.5
x = 0.1/0.5
x = 0.2 hours.
If a 5 kg ball is accelerating 1.2 m/s squared, what is the force on it? plss do it now
Answer:
The answer is 6 N
Step-by-step explanation:
Some satellites are called 'geo-stationary' - they seem to hover above the earth, as they remain 36,000 km above a single point on the earth's surface and spin with the earth as it rotates. How much time would such a satellite take to complete one revolution of the earth?
Answer:
24 hours
Step-by-step explanation:
This is because they seem to be stationary about one point on the surface of earth. This is possible when the satellite has the same angular speed as the earth.
This means that it takes the same amount of time to the satellite to take one revolution around the earth as it takes the earth to take one revolution about its axis.
[tex]w=\frac{revolutions}{time}[/tex]
[tex]w_{satellite}=w_{earth}[/tex]
[tex]\frac{N_{satellite}}{t_{satellite}}=\frac{N_{earth}}{t_{earth}}[/tex]
since [tex]N_{satellite}=N_{earth}[/tex]
then, when solving for t we get that:
[tex]t_{satellite}=t_{earth}[/tex]
How does DNA replication differ in prokaryotic and eukaryotic cells?
a. DNA is single stranded in prokaryotic cells
b. prokaryotic cells do not keep their DNA in a membrane bound nucleus
c. prokaryotic DNA uses uracil as a nitrogenous base instead of thymine
d. prokaryotic cells use a different amino acid code
the answer you are looking for is A
If a car travels 400 miles in 4 hours how fast is it going?
Answer:
100 miles per hour
Step-by-step explanation:
Answer:
100 miles in 1 hour
Step-by-step explanation:
all you have to do is divied 400 and 4
Help asap I’ll give branniest to the best answer
The diameter of a cylinder is 1 yd. The height is 4 yd find the volume of the cylinder type answer with pie symbol
Answer:
3.14 cube .yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 43.14 cube.ydis number 1 a function??
Answer:
yes
Step-by-step explanation:
It takes 33 minutes to walk to the pool from her house. If she rides her bike it takes her 1/3 of that time. Natasha leaves her house for the pool at 3:12. If she is riding her bike, what time will she arrive? _:_
Answer:
Natasha will arrive at 3:23
Step-by-step explanation:
(1/3)*33= 11
3:12+11= 3:23
(-3, 4) and (-1, 10).
What is the slope
Helpasap
Answer:
6/2
Step-by-step explanation:
10-4=6
-1-(-3)
-1+3=2
6/2
Asap! I’ll mark you brainlest
What does how many hours did he rent the bike for?
Add
Subtract
Divide
Multiply
Answer:
He rented the bike for 2 hours.
Step-by-step explanation:
Since a bike costs $13 plus $5 per hour, we can write this as:
13 + 5(h)
We used "h" as the variable for hours, since we need to find how many hours he rented the bike for, that he had to pay $23.
And since Pete paid $23, we need to make the other equation equal to 23.
= 23
So the actual equation, would look like this:
13 + 5(h) = 23
Now we just solve for h in the equation:
13 + 5(h) = 23
Step 1: Multipy 5 times "h"
13 + 5h = 23
Step 2: Subtract 13 from both sides
13 + 5h - 13 = 23 - 13
Step 3: Simplify
5h = 10
Step 4: Divide both sides by 5
5h/5 = 10/5
Step 5: Simplify
h = 2
So the number of hours that Pete rented the bike for 2 hours
513 divided by 23 math
Answer:
22.3
Step-by-step explanation:
ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new room?
Answer:
17 feet
Step-by-step explanation:
Since it's a cube, you just take the cube root of the volume.
So,
[tex]\sqrt[3]{4913}[/tex]=17
help! ILL MARK BRAINLIEST 20 points too! Please actually help instead of typing something random for points that’s mean;(
Answer:
The greatest common factor (GCF) is the largest factor that divides two numbers and a factor is a number that divides into another number exactly so...
1)
10: 1,2,5,10
20: 1,2,4,5,10, 20
*10 is the GCF
2)
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
*4 is the GCF
3)
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
*9 is the GCF
How is the product of 2 and-5 shown on a number line
Answer:
-10
Step-by-step explanation:
start at 0 and move backwards 5(gives you -5) then move backwards 5 more(-10)
1 by 8 + 3 by 4
I have a photo of you don’t know what I mean:)
And could u explain it too if you can<33
Thank you so much :>
Answer: 7/8
Step-by-step explanation:
First, we can start by finding a common denominator.
The least common denominator of 8 and 4 is 8.
We can multiply the numerator and denominator of 3/4 by 2:
= 6/8
So, we are esssentially calculating 1/8 + 6/8. We can add the numerators:
= 7/8.
a toy store sells assorted bags of marbles sold in small or large bags the table show the number of each color of marble in the small bag the manager of the store wants to mantain the same ratio of each color of the marble in the large bag as in the small bag
if each marble cost 20 green marble how much does the large bag cost
10$
Hope this helped!
Peremeter=34 Area=60, What are the sides???
Answer:
Step-by-step explanation:
I'm going to assume it is a rectangle.
P = 2L + 2w = 34
Area = L * w = 60 Divide by L
w = 60/L Substitute into the perimeter.
P = 2L + 2w = 34 Put (60/L) for w
P = 2L + 2(60)/L = 34 Multiply both sides by L
P = 2L^2 + 120 = 34L Subtract 34L from both sides.
2L^2 - 34L + 120 = 0 Divide everything by 2
L^2 - 17L + 60 = 0 Factor
(L - 5)(L - 12) = 0
Since L is usually the larger value, use L = 12
L*w = 60
12w = 60
w = 60/12
w = 5
Answer
L = 12w = 5