Answer:
you need to include a picture of all the graphs
formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)
Answer:
y = x^2 +2x +1
Step-by-step explanation:
Let's see how this works.
Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...
f(x) = ax(x +2)
We want this to go through the third point, also translated down by 1 unit, so we have ...
3 = a(1)(1+2) = 3a
That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:
y = x(x+2) +1
y = x^2 +2x +1
_____
Using the quadratic regression function of a graphing calculator gives the same result.
_____
Comment on the solution approach
For arbitrary points, one would generally substitute them into the formula for the function you want:
y = ax^2 +bx +c
to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)
That leaves two remaining equations in two unknowns (using the other two points).
Using the point (-2, 1), the equation is ...
1 = a(-2)^2 +b(-2) +1 ⇒ 4a - 2b = 0 ⇒ 2a -b = 0
Using the point (1, 4), the equation is ...
4 = a(1^2) +b(1) +1 ⇒ a +b = 3
Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...
y = x^2 +2x +1
Layla ran the 200 m race three times. Her fastest time was 26.3 seconds. Her slowest time was 30.3 seconds. If Layla’s average time was it 28.0 seconds, what was her time for the third race? ANSWER QUICK!!!
Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.
84 - 26.3 - 30.3 = 27.4
Her third time was 27.4 seconds.
Answer:
27.4 seconds
Step-by-step explanation:
Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?
Answer:
Patel’s initial deposit was $3000
Step-by-step explanation:
Given:
Simple interest (S.I.) = 5%
Time period (t) = 10 years
Interest earned (r) = $1500
To find: Patel’s initial deposit
Solution:
Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.
Let p denotes original amount of a loan
[tex]S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000[/tex]
So, Patel’s initial deposit was $3000
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
[tex] \boxed{B. \: 16 \: yards} [/tex]
Given:
Length of rectangle (l) = 28 yards
Perimeter of rectangle = 88 yards
Step-by-step explanation:
Let width of rectangle be 'w'
[tex] = > Perimeter \: of \: rectangle = 2(l + w) \\ \\ = > 88 = 2(28 + w) \\ \\ = > \frac{88}{2} = 28 + w \\ \\ = > 44 = 28 + w \\ \\ = > 28 + w = 44 \\ \\ = > w = 44 - 28 \\ \\ = > w = 16 \: yards[/tex]
Width of rectangle = 16 yards
What values of x make the equation 2 + 9x - 22 = 0 true? Check all that apply.
-2
0
2
11
Answer:
x = 20/9
Step-by-step explanation:
2 + 9x - 22 = 0
Combine like terms
9x - 20 =0
Add 20 to each side
9x-20 +20 = 20
9x = 20
divide each side by 9
9x/9 = 20/9
x = 20/9
I think of a number, double it, and subtract two. I get nine. using the statement above, from an equation. Use the letter "X" for the unknown number.
solve the equation as well.
Answer:
5.5
Step-by-step explanation:
your number is X
doubling it=2X
2X-2=9
using like terms...
2X=9+2
2X=11
dividing through by 2
2X/2=11/2
X=5.5
Answer: The no. thought is 5.5
Step-by-step explanation: Let the no. thought be ' x '
2x - 2 = 9
2x = 9+2
2x = 11
x = 11/2 = 5.5
Miguel brings 3 pies to a bake sale. He sells 1 3/8 in the first hour of the bake sale and 1 2/8 pies in the second hour of the bake sale. What fraction describes the total number of pies Miguel sells in the first two hours of the bake sale?
Answer:
2 5/8
Step-by-step explanation:
MATHEMATICS
please answer it i am waiting
choose the correct option :
1: set A = { 1,5,6,7 } and set B = { 0,1,7,15 } . what is the A U B ?
a) A U B = { 0,1,5,6,7,15 }
b) A U B = {0,1,1,5,6,7,15}
c) A U B = { 1,5,6,7,15}
d) A U B = { 1, 7 }
2: which equation shows the identity property of multiplication ?
a) a+a+a+= 3× a
b) ( a + b ) + 4 = a + ( 4 + b )
c) a ( b + c ) = ab + ac
d) a×1 = a
3: which is an example of associative property of addition ?
a) 7+ 0 = 7
b) (3+9) + 8 = 3 + ( 9+ 8)
c) 5 + ( -5 ) = 0
d) 4+ 3 = 3 +4
4: which property of addition is used in the following ?
( 9+8 ) + 5 = 9 + ( 8+ 5 )
a) associative property
b) closure property
c) distributive property
d) commutative property
5: which property is used in the following expression ?
( 2 × 6 ) × 4 = 6 × ( 4 × 2 )
a) distributive property of multiplication
b) commutative property of addition
c) associative property of addition
d) associative property of multiplication
6: which property is used in the following ?
2×( 4+3 ) = 2 x 4 + 2 × 3
a) commutative property
b) distributive property
c) associative property
d) none of the above
7: which is an example of identity property of addition ?
a) (4+6) + 2 = 4 + ( 6 + 2 )
b) 9+ 0 = 9
c) 8× 1 = 8
d) 7+ 4 =4+ 7
8: which of the following does NOT show the commutative property of addition ?
a) ab = ba
b) 3x + 4y = 4y + 3x
c) a+ b =b+ a
d) 8+ x = x + 8
9: which operation will not change the value of any nonzero number ?
a) dividing by zero
b) adding one
c) multiplying by zero
d) multiplying by one
10: which property of addition does 2 + 0= 2 illustrate ?
a) commutative property
b) zero property
c) distributive property
d) identity property
please , i am in a hurry
Answer:
1 .i think it is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Choose the correct option
What’s the correct answer for this question?
Answer:
D = (x+6)² = 13
Step-by-step explanation:
In the attached file
Determine whether the equation is an identity or not an identity.
What is the first step in evaluating this expression?
15 + 20 ÷ (10 – 7) + 12
Answer:
33.67
Step-by-step explanation:
BODMAS (Bracket of Division Multiplication Addition Subtraction)
bracket then divide and so on
Answer:
33.67
Step-by-step explanation:
hope this helps have a wonderful day
A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
How do I find how many times a line intersects?
Answer:
you should count how many time two or more line touches each other
Answer:
If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.
Step-by-step explanation:
help me plssssss :(:
Answer:
C = 2*π*r
Step-by-step explanation:
When given the radius, we can multiply it by both pi and 2 to find the circumference of a circle.
Answer:
C=2πr
Step-by-step explanation:
C=2πr
find the value of x
a) 1
b) 31
c) 24
d) 14
So the right answer is 14.
Look at the attached picture
Hope it will help you
Good luck on your assignment
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him to walk at a slow pace as he works. However, he is concerned that standing and walking while working may cause his productivity to decline. After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer. Assuming that all conditions for inference are met, which of the following is a 95 percent confidence interval for the average change in the number of billable hours for each increase of 1 hour spent walking?
Answer:
answer is
[tex]-0.245 \pm2.160(0.205)[/tex]
Step-by-step explanation:
After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.
Slope is -0.245
Sample size n = 15
Standard error is 0.205
Confidence level 95
Sognificance level is (100 - 95)% = 0.05
Degree of freedom is n -2 = 15 -2 = 13
Critical Value =2.16 = [using excel = TINV (0.05, 13)]
Marginal Error = Critical Value * standard error
= 2.16 * 0.205
= 0.4428
[tex]-0.245 \pm2.160(0.205)[/tex]
Answer:
The correct answer is C. [-0.245±2.160*0.205]
Step-by-step explanation:
Hello!
To analyze the if walking while working (independent variable X) affects his working productivity (dependent variable Y) James took a random sample of 15 days (from a 6 month period in which he worked and trained at home) and recorded how long he walked and his billable hours for that day.
Using this information he estimated the linear regression between the working productivity and the time spent training.
^Y= 7.785 -0.245X
The interest is to estimate the change in the average number of billable hours every time he increases the time spent walking in 1 hour.
To estimate the range of values the average billable hours may take each time the training time increases sone hour, you have to calculate a confidence interval for the population slope of the regression. The statistic is a t-test:
[tex]t= \frac{b-\beta}{Sb} ~~t_{n-1}[/tex]
[b±[tex]t_{n-2;1-\alpha /2}[/tex]*Sb]
Using a 95% confidence level the value of t is [tex]t_{n-2;1-\alpha /2}= t_{13; 0.975}= 2.160[/tex]
b= -0.245
Sb= 0.205
[-0.245±2.160*0.205]
[-0.68780.1978]
Using a 95% confidence level you'd expect the interval [-0.68780.1978] to contain the value of the average billable hours when the time spent walking increases in 1 hour.
I hope this helps!
What is (GCD) of 24, 48 and 60?
Answer:
12
Step-by-step explanation:
A rocket is traveling at 283 miles per minute. How far will the rocket travel in 15 minutes?
Answer:
4,245 miles
Step-by-step explanation:
Hello there,
the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles
Hope dis helps.
Step-by-step explanation:
Step 1: Multiply them together
Miles Per Minute * Minutes = Miles Traveled
283 * 15 = Miles Traveled
4245 = Miles Traveled
Answer: The rocket will travel 4,245 miles
If |x| = 7 and |y| = 13, then which of the following could be equal to x + y?
Answer:
20, -20, -6, 6
Step-by-step explanation:
x and y could be negative or positive.
Answer:
Answer shown from explanation
Step-by-step explanation:
|x| means modulus of x such that positive or negative value of x evaluates to a positive value.
|x| = 7 is the same as x = -7 and x = 7
Similarly,
|y| = 13 is the same as y = -13 and y= 13;
Hence the possible values are;
7+13= 20
7-13= -6
-7-13= -20
-7 + 13 = 6
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]
The ratio of boys to girls in a class is 4:5
a) What fraction of the class are boys?
b) What fraction of the class are girls?
Answer:
Boys 4/9 ; 5/9 Girls
Step-by-step explanation
Boys 4:5 Girls
Total pupil = 9
The fraction of boys in the class is 4/9
The fraction of girls in the class is 5/9
marking brainliest right away!!!!
Answer:
(-3,-1)
Step-by-step explanation:
When you graph it on a graphing paper, you can see that the graph touches it but barely
There are 16 students who choose up sides to play soccer. How many different teams of 8 can be formed?
Select the best answer from the choices provided.
ОА
12870
B.
120
40320
D, 720
-9x+7y=28 find the y intercept
In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
how does the spread of waldens data set compare with the spread of drakes data set
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation:
The set of all numbers greater than 2
(-6/5)x- 4 = -46
•23
•35
•-23
•-35
help help help
Answer:
35
Step-by-step explanation:
Equation:
(-6/5)x - 4 = -46
Add 4 on both sides:
(-6/5)x - 4 = -46
+4 +4
(-6/5)x = -42
Multiply both sides by the reciprocal, or opposite:
-5/6[(-6/5)x] = (-42)-5/6
x = 35
Therefore, x is equal to 35.
Answer:
x = 35
Step-by-step explanation:
Step 1 : 6/5 Simplify
Step 2 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 3
Rewriting the whole as an Equivalent Fraction
Answer: x = 35
Hope this helps.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
C
Step-by-step explanation:
y = -f(x) is the reflection about the x-axis of the graph y = f(x).
What expression is equivalent to 2(t-4)+1
Answer:2t-7
i just kinda solved it hehe
The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.
Given :
Expression - 2(t - 4) + 1
The following steps can be used to evaluate the given expression:
Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.
= 2t - 8 + 1
Step 2 - Now, subtract 8 from 1 in the above expression.
= 2t - 7
So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).
For more information, refer to the link given below:
https://brainly.com/question/2353072
Please answer number six I will give brainliest thank you!
Answer:
The new median would be 15.
Step-by-step explanation:
This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.
Answer:
List the numbers in order including 25
2,6,7,14,15,20,21,23,25
choose the number in the middle
15 has 4 numbers to the left and right so it is in the middle so it is the median
hope this helps
Step-by-step explanation: