Answer:
Both graphs have a y-intercept at 0,1. The y=2^x is steeper than y=5^x
Step-by-step explanation:
If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.
The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.
What is the intercept of a line ?
The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.
Theresa is comparing graphs of y = 2x and y = 5x
The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.
Let's check
which is y = 2x.
For x = 0 , y = 0
for x = 1 , y = 2
So , here y-intercept will be (0,2)
So , for both the values y - intercept exists for first function which is y = 2x.
Similarly, for y = 5x , there will be a y -intercept of (0,5).
Both graphs have a common y-intercept of (0, 1).
We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.
Here , y = 2x is more steeper than y = 5x.
Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.
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You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
Given these what is X if B-X=A
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
Find the total surface area of the prism
Answer:
217 sqft
Step-by-step explanation:
the total area can be divided into 6 parts:
2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)
Therefore the area can be calculated as :
2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
What are the coordinates of point K?
(-
)
()
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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What is 3/4 + 1/3 ?
* 15p*
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
What type of function best models the data in this table? Justify your reasoning.
x 2 5 8 11 14 17
y 16 25 34 43 52 61
Answer:
The function that models the data in this table would be a linear function.
Step-by-step explanation:
161-52=9
7-14=3
9/3=3
52-43=9
14-11=3
9/3=3
Can someone help me find the evaluation for #20 I need to show my work
Mental Math
Solve
119*121
Answer:
14399
Step-by-step explanation:
break it down yall
119=100+19
121=100+21
100*100=1000
19*21=4399
add em up
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
Factor the polynomial.
125x^3+27
Answer: (5x+3) (25x^2-15x+9)
(5x + 3) (25x^2-15x + 9)
What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation:
I have a book on this kinda stuff! :D
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation: ED2022
Simplify the following expression.
(13x+ 9) + (38x+33y)
A. 51x + 4y
B. 22x + 46y
C. 22x + 42y
D. 51x+ 42y
Answer:
The answer would be D.
Step-by-step explanation:
All you have to do is combine like terms.
Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.
When you combine like terms, you add or subtract the terms that have the same variable attached.
13x + 38x = 51x.
9y + 33y = 42y
51x + 42y.
I hope I helped.
Brainliest would be appreciated.
what is the value of x?
Answer:
you need a d/protector to do this
Step-by-step explanation:
Melanie had 4 2/3 pounds of chopped walnuts. She used 1 1/4 pounds in a recipe. How many pounds of chopped walnuts did she have left?
Answer:
Step-by-step explanation:
To make the denominator the same on both sides you need to multiply 1/4 by three and make it 3/12 and multiply 2/3 by four to get 8/12 and then you just subtract to get 3 5/12
Answer: 3 5/12
Step-by-step explanation:
Mr. Smith plans to build a 3-foot-wide walkway
around the outside of the cabin, as shown in the floor
plan. What will be the area, in square feet, of the top
surface of the walkway?
A. 171
B. 324
360
396
720
Answer:
360
Step-by-step explanation:
The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular cabin be represented as A
Now , the initial length of the cabin = 30 feet
The initial width of the cabin = 24 feet
And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin
So , the increased length of the rectangular cabin = 30 + 6 = 36 feet
The increased width of the rectangular cabin = 24 + 6 = 30 feet
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular cabin A = 36 x 30
Area of rectangular cabin A = 1080 feet²
Now , the area of the cabin before increment of sides = 24 x 30
The area of the cabin before increment of sides = 720 feet²
So , the area of the walkway = 1080 - 720 = 360 feet²
Area of rectangular cabin walkway A = 360 feet²
Hence , the area of the rectangular cabin walkway is 360 feet²
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(4x + 30)
What’s the answer
Answer:
Fraction form -15/2
Decimal form -7.5
Step-by-step explanation:
4x+30=0
subtract 30 from both sides
4x=-30
divide both sides by 4
x=-30/4
simplify
-15/2 or -7.5
ก
Name the natural regions in Texas.
Answer:
the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.
Step-by-step explanation:
What single rigid transformation maps TriangleABC onto TriangleA'BC'?
dilation
reflection
rotation
translation
Answer:
The answer would be reflection.
Step-by-step explanation:
the answer is reflection because you would reflect it over the axis.
Answer:
Reflection would map ABC to A'B'C'
Step-by-step explanation:
Which are the roots of the quadratic function f(q) = 02 - 125? Select two options.
O q = 5/5
O q = -5/5
q=3/5
q = -3/5
q=25/5
will give brainlist if its right!
Answer:
7/30
Step-by-step explanation:
or 7 out of thirty.
plz correct me if im wrong, ill fix it
Answer:
7/30
Step-by-step explanation:
First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is 7/30
Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7
Answer:
f(x) = 1.8x + 1
Step-by-step explanation:
I graphed the table on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
What does the inequality x + 3 ≤ 2 say?
A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.
Answer:
A number and three is at most two.
Step-by-step explanation:
keywords :)
[tex] > bigger \: than \\ < smaller \: than \\ \leqslant is \: at \: most \\ \geqslant is \: at \: least[/tex]
whats the constant of the function?
Answer:
-4
Step-by-step explanation:
Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
NEED HELP it’s a mastery grade!!
Answer:
2.49
Step-by-step explanation:
Answer:
2.49
Step-by-step explanation:
first u do 13.96 divde by five then to check it do 2.49 x 5
True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.
Answer:
true
Step-by-step explanation:
Answer:
true i think