Step-by-step explanation:
[tex]y = {2.5}^{2} - 2(2.5) - 3 [/tex]
-1.75
Here we need to learn how to read a graph.
In a normal graph we have the inputs (the values of x) in the horizontal axis and the outputs in the vertical axis.
Here we want to see what is the value of y for the blue graph when x = 2.5
We will find y = -1.5
(the blue graph is the one that corresponds to: y = x^2 - 2x - 3)
To find this:
The first thing we need to do is find x = 2.5 in the horizontal axis.
Now that we found it, we need to draw a vertical line, and see at which point of the blue graph this vertical line intersects the curve. At that point we draw an horizontal line that intercepts the vertical axis.
At that point we have the y-value
You can see an example of this, a good estimation by only looking at the graph is y = -1.5
For the other point, the value of x when y = 1.
We do exactly the same thing but in the inverse order, we first find y = 1
Then we draw an horizontal line that intercepts the graph
Then we draw a vertical line that intercepts the x-axis and we find the value.
We can see that for y = 1 we have x = 3.2 aprox.
If you want to learn more you can read:
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Which table does NOT show direct variation?
Answer:
Tables 3. The one in the bottom left corner.
Step-by-step explanation:
The values of table C is not in variation.
What is variation?Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.
Given tables,
A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).
Relation for table A
y /x = -3/1 = -3
y /x = -9/3 = -3
y /x = -18/6 = -3
y /x = -36/12 = -3
relation is in variation.
Relation for table B
y /x = 3/1 = 3
y /x = 9/3 = 3
y /x = 18/6 = 3
y /x = 36/12 = 3
relation is in variation.
Relation for table C
y /x = 4/1 = 4
y /x = 6/3 = 2
y /x = 9/6 = 3/2
y /x = 15/12 = 5/3
Equation doesn't have a direct relationship between x and y.
Relation for table D
y /x = 2/1 =2
y /x = 6/3 = 2
y /x = 12/6 = 2
y /x = 24/12 = 2
relation is in variation.
Hence the table C is not in variation.
Learn more about variation;
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You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you have enough money
in the account to purchase the car? Round your answer to the nearest whole number
Answer:
After 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Amount needed to be saved = $10000
Principal = $6500
So, Simple Interest = $3500
Rate of Interest = 7.5%
= 0.075
Now, Simple Interest = Principal × Rate × Time
⇒ 3500 = 6500 × 0.075 × Time
⇒ 3500 = 487.5 × Time
⇒ Time = 7.18 years ≈ 7.5 years
Hence, after 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Are 0.5 and 5 EQUAL TO EACH OTHER?
Answer: nope
Step-by-step explanation:
5 + 0.08 + 0.004 in word form plz
Answer:
Five plus eight hundredths plus four thousandths
Answer:
five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four
Step-by-step explanation:
If 12 50.7 Fl. Oz. bottles cost $84 how much does one bottle cost?
Answer:
$7
Step-by-step explanation:
84/12=7 each bottle is $7
I NEED HELP ASAP PLEASE
Which equation represents a line parallel to the line shown on the graph?
On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three
y = one-fourth x + 5
y = negative one-fourth x minus 1
9514 1404 393
Answer:
y = -4x +3
Step-by-step explanation:
The given line has a "rise" of -8 for a "run" of 2, so its slope is ...
m = rise/run = -8/2 = -4
A parallel line will have the same slope, so you want to choose the equation that has an x-coefficient of -4. That equation is ...
y = -4x +3 . . . . the second choice
Answer:
y = one-fourth x minus 2
Step-by-step explanation:
PLEASE HELPP AND SHOW WORK
Answer:
x = 25
Step-by-step explanation:
From the picture attached,
ΔABC and ΔADE are the similar triangles.
Therefore, their corresponding sides will be in the same ratio.
[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]
[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]
And AB = AD + DB
= 2(AD) [Since, AD = DB]
By substituting these values,
[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]
2 = [tex]\frac{34}{x-8}[/tex]
x - 8 = [tex]\frac{34}{2}[/tex]
x - 8 = 17
x = 17 + 8
x = 25
The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC?
_____________________
A. 10
B.5
C.15
D.12
Answer:
sir the picture is black
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
The answer to the chart is y=x-1
Find the x-intercept: 5y-2x=17
x-intercept:
(−17/2, 0)
y-intercept:
(0, 17/5)
SOLVING SYSTEMS:
I just need the work for each equation.
Will give brainliest... Please I need this answer so badly
Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?
Answer:
R = 148.6111%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/4)((1500/216) - 1) = 1.48611111
r = 1.48611111
Converting r decimal to R a percentage
R = 1.48611111 * 100 = 148.6111%/year
The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.
Answer: 3%
Step-by-step explanation:
216 / 1500 = 14.4
14.4/ 48 months = .003
.003 x 100 = 3%
The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.
Thus:
✔️When x = 20:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(20) [/tex]
[tex] y = 1.3 [/tex]
✔️When x = 40:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(40) [/tex]
[tex] y = 2.6 [/tex]
✔️When x = 60:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(60) [/tex]
[tex] y = 3.9 [/tex]
✔️When x = 80:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(80) [/tex]
[tex] y = 5.2 [/tex]
✔️When x = 100:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(100) [/tex]
[tex] y = 6.5 [/tex]
✔️The graph of that represents this table of values is graph C. See attachment.
Look at triangle STU:
A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)
Question 9 options:
1) 20
2) 22
3) 24
Help
4) 28
Answer:
1) 20
Step-by-step explanation:
I drew a diagram of the triangle described below.
Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.
We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:
SU = square root (12^2 + 16^2) = square root (400) = 20
I hope this helps! :)
Can somebody plz answer these questions correctly thanks!!
WILLL MARK BRAINLIEST WHOEVER ANSWERS FIRST! :DDD
Answer:
The decimal form of 3/5 is .6 or .60 and the percent form is 60%.
The fraction form of 0.3 is 30/100 or 3/10 and the percent form is 30%.
The decimal form of 3/20 is .15 and the percent form is 15%.
The fraction form of 0.58 is 58/100 or 29/50 and the percent form is 58%.
The decimal form of 19/50 is .38 and the percent form is 38%
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
Evaluate -6 - (-1). (1 point)
O -7
O5
O -5
O6
[tex]-6-(-1)\\-6+1[/tex]
-(-1) = 1 as negative multiply negative equals positive.
Thus, the answer is -6+1 = -5.
The answer is the third choice, -5.
Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%
Answer:
1) [tex]16\frac{2}{3}[/tex]% or 20%
Step-by-step explanation:
Given that:
An experiment which is carried out by flipping a coin and rolling six sided die.
The outcomes can be:
{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}
As per question statement:
Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)
Total number of outcomes here is 10.
Therefore, to find the percentage, we use the following formula:
[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]
[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]
As per question statement, the answer is 20%.
If we consider all the outcomes, i.e.
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Total number of outcomes = 12
The percentage will come out be :
[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
1 - 3x = 3x + 1 solve for x
Answer: x = 0
Step-by-step explanation:
1 - 3x = 3x + 1
then add 3x on both sides
1 = 6x + 1
then subtract 1 on both sides
0 = 6x
then divide by 6 on both sides
0 = x
so x = 0
Answer:
x would be unknown bc there wouldnt be an answer since
1-3x=3x+1
if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense
Step-by-step explanation:
Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?
Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity
Step-by-step explanation:
Left and right ends of the given poynomial function will fall downwards (towards negative infinity).
End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + eLeading coefficient → a
Degree of the polynomial = 4
If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.Given in the question,
Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1
Degree of the polynomial = 4 (even)
Leading coefficient = -1 (negative)
Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).
Learn more about the end behaviour of a polynomial here,
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What are the angle measurements in the triangle?
Answer:
c
Step-by-step explanation:
Unit 5
Bob is building a new restaurant called Bob's Burgers. He wants the building to be shaped like a
burger, and he needs to figure out how many square feet of tile he will need for the circular floor
inside of the restaurant. The blueprints for the building are graphed with the front door located at
(-10, 2) and the center of the restaurant located at (2, -3) where each unit on the grid is 1 foot. How
many square feet of tile will Bob need for the floor of Bob's Burgers? Show your work and explain
each step you take to solve using proper math vocabulary.
Answer:
Look at images below for a answer of:
Revenue: $71,014
Profits: $44,029
Image Below;
(Take a look at the image and zoom in on all of the images in that one image)
Answer made by Ehie, Discord: BenjiDev#3349
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?
Answer:
4731
Step-by-step explanation:
4,389+342=4,731