We have that the Fuction's result for the given values are
f(-2) =37f(-1) =14f(0) =5 f(1) =10f(2) =29
From the Question we are told that
Function
[tex]f(x) = 7x^2 -2x + 5.[/tex]
Generally
For -2
[tex]f(-2) = 7(-2)^2 − 2(-2) + 5.[/tex]
f(-2) =37
For -1
[tex]f(-1) = 7(-1)^2 − 2(-1) + 5.[/tex]
f(-1) =14
For 0
[tex]f(0) = 7(0)^2 − 2(0) + 5.[/tex]
f(0) =5
For 0
[tex]f(1) = 7(1)^2 − 2(1) + 5.[/tex]
f(1) =10
For 2
[tex]f(2) = 7(2)^2 − 2(2) + 5.[/tex]
f(2) =29
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Which polynomial is prime?
Plz help!
The American National Standards Institute specifications state that the
maximum slope of a wheelchair ramp should be one twelfth i.
The new ramp measures 5 feet high at its highest point and stretches
50 feet horizontally. Will this ramp pass specifications?
Answer:
No.
Step-by-step explanation:
Given that :
Maximum accepted Ramp slope = 1/12
A new ramp with :
Height range = 5 feets
Horizontal stretch = 50 feets
Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10
1 / 10 > 1 / 12
This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable
The pie chart shows student participation in fundraisers
at Mountain View Middle School.
Mountain View Middle School
Fundraisers
Which describes a bar diagram showing the percent of
students who participated in dances?
1 shaded square out of 10 squares
2 shaded squares out of 10 squares
3 shaded squares out of 10 squares
4 shaded squares out of 10 squares
20
Carnival
Car Wash
Bake Sale
Talent Show
10
50
5
15
Dances
Answer:
Step-by-step explanation:
If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.
HELPPP I need help ASAP please help me
9514 1404 393
Answer:
the first is two points; the second is the interval between (and including) those two points
Step-by-step explanation:
The equation ...
4 = |x +5|
has two solutions:
x ∈ {-9, -1}
__
In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.
x ∈ [-9, -1]
__
The solution to the second expression can be found as ...
4 ≥ |x +5|
4 ≥ x+5 ≥ -4 . . . . express as a compound inequality
-1 ≥ x ≥ -9 . . . . . . subtract 5
__
The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.
Given the coordinates of two points on a line, explain two methods to determine the slope of the line.
Answer:
Step-by-step explanation:
1. Use the slope formula (y2 - y1 / x2 - x1)
2. Use the graph. Take two points and count the rise over the run.
what is the solution for this equation?
In(x+6)-in(2x-1)=0
answers in the image!
Answer:
x=7
Step-by-step explanation:
ln(x+6)-ln(2x-1)=0
add ln(2x-1) to each side
ln(x+6) = ln(2x-1)
Raise each side to the base e
e^ln(x+6) = e^ln(2x-1)
x+6 = 2x-1
Subtract x from each side
x+6-x = 2x-1-x
6 = x-1
Add 1 to each side
6+1 = x-1+1
7=x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]
What is the value of the expression below when w =
9 and x = 2?
w – 4x
A CD in the financial sense is
A.
a certificate of deposit
B.
a record of your transactions
C.
a
checking account
D.
a small savings account
Answer:
Step-by-step explanation:
Answer:
A, Certificate of Deposit
Step-by-step explanation:
Just got it right on Gradpoint
Give brainiest if right!
Marina spent $13.50 at the grocery store. She bought pears,
kiwis, and pineapples. Pears cost $0.50 each, pineapples cost
$1.50 each, and kiwis are $0.30 each. How many of each kind of
fruit did she buy if she bought 9 more pears than pineapples and
2 fewer kiwis than pears?
Answer:
Step-by-step explanation:
First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is
pi + pe + k = 13.5
Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so
pe = pi + 9
And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was
kiwis = (pi + 9) - 2 which simplifies down to pi + 7.
Now we'll put all of those into the equation:
pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:
1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:
1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:
2.3pi = 6.9 so
pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:
pe = pi + 9 so
pears = 12. Now we go back to the expression for kiwis:
k = pi + 7 so
kiwis = 10. And there you go!
graph f(x)= - square root -x
Answer:
1333
Step-by-step explanation:
Can you please help me
Answer:
you will type your answers and send
Answer:
Step-by-step explanation:
⅔-2/5 = 4/15
How many solutions will each system of linear equation have?
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
What is the product?
(x^4)3x^3-2)(4x^2 +5x)?
Answer:
[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]
Answer:
[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]
[tex](3x^{3} -2)(4x^{2} +5x)[/tex]
[tex]12x^5+15x^4-8x^2-10x[/tex]
[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]
[tex]=12x^9+15x^8-8x^6-10x^5[/tex]
Therefore, A is your answer
~~OAmalOHopeO
In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5
Answer:
2
y = -0.5x + 10.5
Step-by-step explanation:
put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular
2
y = -0.5x + 10.5
A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor
The car will run 60 miles on 2 gallons of gas.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.
The run of the car will be calculated as,
1 gallon = 30 miles
2 gallons = 30 x 2 miles
2 gallons = 60 miles
Therefore, the car will run 60 miles on 2 gallons of gas.
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what is 6 cm and 7 mm converted to
Answer:
converted to what?
Step-by-step explanation:
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
1
–1
i
–i
Answer:
B. -1 should be the answer
Step-by-step explanation:
Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,
specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.
Given:
Scale factor of map is:
1 decimeter = 11.5 kilometers
The distance between M and N on the map is 235 decimeters.
To find:
The Actual distance between M and N.
Solution:
Scale factor of map is:
1 decimeter = 11.5 kilometers
Using this scale factor, we get
235 decimeter = 235 × 11.5 kilometers
235 decimeter = 2702.5 kilometers
235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers
Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.
Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above
Answer:
i THINK its A. 4(n-3) -6n
Step-by-step explanation:
Have a wonderful day!!
In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain
Answer:
[tex]E.G=\$2[/tex]
Step-by-step explanation:
Sample size 52 card
Pay for J or Q [tex]=\$17[/tex]
Pay for King or Ace [tex]=\$5[/tex]
Pay for others [tex]=-\$2[/tex]
Therefore
Probability of drawing J or Q
[tex]P(J&Q)=\frac{8}{52}[/tex]
Probability or drawing King or Ace
[tex]P(K or A)=\frac{8}{52}[/tex]
Probability or drawing Other cards
[tex]P(O)=\frac{36}{52}[/tex]
Therefore
Expected Gain is mathematically given as
[tex]E.G=\sum_xP(x)[/tex]
[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]
[tex]E.G=\$2[/tex]
Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry
Answer:
The value is [tex]t = 2.705[/tex].
Step-by-step explanation:
In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.
99% confidence level:
We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.
The value is [tex]t = 2.705[/tex].
What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?
Answer:
$785.17
Step-by-step explanation:
Given data
PV is the loan amount
PMT is the monthly payment
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
n is the number of months (term of the loan in months)
PMT =$700
n = 10 years
i = 0.89%
The formula for the loan amount is
(6 + 8) (3 - 2) = help plz
Answer:
Step-by-step explanation:
(6+8i)(3-2i)
use FOIL
18 - 12i + 24i - (16[tex]i^{2}[/tex])
18 + 12i - (-16)
18 + 12i + 16
34 + 12i
2) Consider the quadratic sequence 72, 100, 120, 132
2.1.1) Determine Tn the nth term of the quadratic.
Answer:
Tn = -4n²+40n+36
Step-by-step explanation:
A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.
So, when n = 1, Tn = 72, which means T1 = a+b+c=72.
when n = 2, Tn = 100, which means T2= 4a+2b+c = 100
when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.
Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.
Hence, you a, b, and c in the Tn equation given above.
Therefore, Tn = -4n²+40n+36
Use the method of cylindrical shells to write out an integral formula for the volume of the solid generated by rotating the region bounded by the curve y = 2x - x^2 and the line y = x about the y-axis.
Answer:
The answer is "[tex]\frac{5\pi}{6}[/tex]"
Step-by-step explanation:
Please find the graph file.
[tex]h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\[/tex]
A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, the stepwise regression technique is used. How are variables selected for inclusion in the model?
A. Smallest regression coefficient.
B. Largest p-value.
C. Smallest p-value.
D. Highest increase in the multiple R2.
Answer:
D. Highest increase in the multiple R2.
Step-by-step explanation:
Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.
In the figure, L1 || L2. 2x=174º. Find Za+Zb.
9514 1404 393
Answer:
12°
Step-by-step explanation:
We assume you mean ...
∠x = 174°
Angle a is supplementary to angle x, so is ...
∠a = 180° -174° = 6°
Angle b is a vertical angle with respect to angle 'a', so is the same measure.
∠a +∠b = 6° +6° = 12°
(752+158)-625
Compute in most convenient way
Answer:
285
Step-by-step explanation:
First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Answer:
-3
Step-by-step explanation:
since the lines are parallel, they have the same slope because they never intersect
What is the length of ef in the right triangle below 25 7
Answer:
Can we see the picture?
Step-by-step explanation:
