Answer:
Step-by-step explanation:
Plug in the stated values for x
(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3
2 + 3 - 1 + 2 - 3 = 1 + 2 = 3
f(1) = 3
(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3
2 * 1 + 3(-1) - 1 + 2(-1) - 3
2 + -3 -1 -2 - 3 = 2 - 9 = -7
f(-1) = -7
(c) 2(0) + 3(0) - 0 + 0 - 3
0 - 3 = -3
f(0) = -3
d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3
1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3
16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4
f(-1/2) = -9/2
Which product is the better deal 60 oz for $7.20 or 75 oz for $8.25
The better deal
Would be the lowest cost per ounce.
Divide total cost by total ounces and compare them.
7.20/60 = 0.12 per ounce.
8.25/75 = 0.11 per ounce.
75 ounces for 8.25 is the better deal
Bo is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?
Answer:
1.2
Step-by-step explanation:
The cost per pound is $2.3.
Given that Bo is buying candy by the pound. For every 10 pounds, he pays $23.
We need to find the cost per pound,
So, we see that,
For 10 pounds he is paying $23,
We need to find the unit rate, so divide both by 10,
10/10 pound = $23/10
1 pound = $2.3
Hence the cost per pound is $2.3.
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what value of x makes this equation true? 15-7x=5x-21
Answer:
x=3
Step-by-step explanation:
15-7x=5x-21
12x=36
x=3
please help! will give brainliest
Answer:
Step-by-step explanation:
y-2=3(x-5)
y-2=3x-15
Slope intercept form is y=3x-13
y-12= -2(x-3)
y-12= -2x+6
Slope intercept form is y= -2x+18
PLEASE ANSWER ASAP WILL GIVE BRAIN
Answer:
Y = -3/4 + 7
Step-by-step explanation:
7 is the y intercept
-3/4 is the slope
Shelby rode her motorcycle 77 kilometers down a straight freeway at a constant velocity. She rode that distance in 1.4 hours. What was her velocity?
Answer:
the answer Is 277.2
Step-by-step explanation:
V=277.2
PLEASE HELP ASAP & ANSWER QUESTIONS IN PHOTO
Answer:
false
Step-by-step explanation:
What function is Y=M(X) +b used for? *
Answer:
Used for Linear Graphs
Step-by-step explanation:
Y=mx = b
m represents the slope/gradient of the graph
b represents the y intercept
How do I write log3 5 using natural logarithms?
Answer:
[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]
Step-by-step explanation:
We want to write:
[tex]\log_3 5[/tex]
Using natural logarithms.
We can use the following property of logarithms:
[tex]\displaystyle \log_b a=\frac{\log_c a}{\log_c b}[/tex]
Hence, if we let c be equal to e:
[tex]\displaystyle \log_b a= \frac{\log _e a}{\log _e b} = \frac{\ln a}{\ln b}[/tex]
Then by letting a = 5 and b = 3:
[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]
A line passes through the point (-2,3) and has a slope of 5/2
Write an equation in SLOPE-INTERCEPT form for this line.
Answer:
y=5/2+3
Step-by-step explanation:
need help w math question
Answer:
y = P • (1+r)^t
Balance after 2 years: $3307.5
Step-by-step explanation:
To answer this question, we will use standard equation that calculates bank interests:
A = P(1+(r/n))^(n•t)
It might seem complicated, but let's explain:
A - amount of money after the time period
P - principal amount, the amount of money you started with
r - interest rate, in decimal numbers
n - number of times interest is being calculated per year
t - number of years
Since here, interest is annual, n = 1, so our equation is:
A = P(1+r)^t
P = $3000
r = 5% = 0.05
t = 2 years
A = 3000(1+0.05)^2
A = 3000•(1.05)^2
A = $3307.5
express 75 as a product of its prime factors
Answer:
Step-by-step explanation:
The prime factor of the product 75:
Factors of 75
1,3, 5, 15, 25, 75
or for the prime factorization of 75
3 x 5 x 5, which can also be written 75 = 3 x 5².
Hope this help :)
Answer:
3 × 5 × 5
I hope this helps!
Chelsea spent half of her weekly
allowance playing arcade games. To earn
more money her parents let her clean the
windows in the house for $10. What is
her weekly allowance if she ended with
$18?
Answer:
I believe it would be 16
Step-by-step explanation:
8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance
Final answer: Her allowance would be 16 dollars
So yeah this is easy but my brain cell are not working proproly so....
Can you help me find H Plz be fast grades are due tonight
(Answer Only)
Answer:
-12
Step-by-step explanation:
h/6 -1 = -3
h - 6 = - 18
h = -18 + 6
h = -12
Answer:
h= -12
Step-by-step explanation:
-12/6= -2
-2- 1 = -3
-3= -3
What x value sloves the equation .
3x-5=1
A set of biology exam scores are normally distributed with a mean of 707070 points and a standard deviation of 666 points. Let XXX represent the score on a randomly selected exam from this set. Find P(64
Answer:
[tex]P(64<x<76)=0.68[/tex]
Step-by-step explanation:
Given that, the mean, [tex]\mu[/tex], and the standard deviation, [tex]\sigma[/tex], of normally distributed exam score are :
[tex]\mu=70[/tex]
[tex]\sigma=6[/tex]
Let [tex]x[/tex] represent the score on a randomly selected exam from this set
The z-score, for the randomly selected exam score x:
For 64<x<76, the range of z-score is
[tex]\frac{64-70}{6}<z<\frac{76-70}{6}= -1<z<1[/tex]
Now, from the z-score table, the value for z=-1 is the probability for x<64.
As the value for z=-1 is 0.15866, so
P(x<64)=0.15866.
Similarly, the value for z=0.67 is 0.84134, so
P(x<76)=0.84134
So, [tex]P(64<x<76)= P(x<76)-P(x<64) \\\\[/tex]
[tex]\Rightarrow P(64<x<76)=0.84134-0.15866=0.68268.[/tex]
Hence, [tex]P(64<x<76)=0.68[/tex]
Answer:
0.68
Step-by-step explanation:
khan
Please help I have no idea what the answer is
Answer:
59
Step-by-step explanation:
The total amount of angles in a triangle with equal 180 degress
Answer:
Step-by-step explanation:
83° + 38° + x° = 180°
121 + x = 180
x = 59
Bobby has 36 toy cars with stickers on them. Each car has 2 red stickers and one blue sticker. Which expression represents the total number of stickers on the 36 cars?
Given:
Total number of cars = 36
Each car has 2 red stickers and one blue sticker.
To find:
The expression that represents the total number of stickers on the 36 cars.
Solution:
Total number of cars = 36
Each car has 2 red stickers and one blue sticker. So,
Total number of stickers on each car = (2+1)
Total number of stickers on 36 car = 36(2+1)
= 36(3)
= 108
Therefore, the required expression for the total number of stickers on the 36 cars is 36(2+1) and the total number of stickers is 108.
can someone please help me
Answer:
a=5
Step-by-step explanation:
18-2a=8
-18 -18
-2a=-10
/-2 /-2
a=5
what is the rate of change of the function?
I hope it is helpful for you ....
Which property should be used next in this solution process?
3x + 2 + 3 = 7(x - 1) – 4
3x + 5 = 7(x - 1) – 4
A. Commutative Property of Addition
B. Identity Property of Multiplication
C. Associative Property of Multiplication
D.
Distributive Property
Answer:
niwebfasfbjsdfb
Step-by-step explanation:
jsdfhsdbfjhadsjbdsfhb
Which angle in AXYZ has the largest measure?
6
9
X
8
#
Choice
A.
ZX
B.
LY
C.
ZZ
D.
Cannot be determined
Answer: Angle X
Reason: For any triangle, the largest angle is always opposite the longest side.
∠X is the largest measure on the triangle XYZ.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The angle opposite to the largest side is the largest measure.
So,
XY = 6 and opposite angle = ∠Z
YZ = 9 and opposite angle = ∠X
XZ = 8 and opposite angle = ∠Y
We see that,
YZ > XZ > XY
So,
∠X > ∠Y > ∠Z
Thus,
∠X is the largest measure on the triangle XYZ.
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If m<2 = (2x)° and m<5 = (x+6)°, find the value
of ‘x’ and the m<4.
Answer:
x = 58
[tex] m\angle 4 = 116\degree [/tex]
Step-by-step explanation:
[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\
m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\
\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]
From equations (1) & (2)
[tex] m\angle 2 =180\degree-m\angle 5\\\\
\therefore (2x)\degree =180\degree-(x+6)\degree \\\\
\therefore (2x)\degree +(x+6)\degree =180\degree\\\\
\therefore (2x+x+6) \degree =180\degree\\\\
\therefore (3x+6) \degree =180\degree\\\\
3x + 6 = 180\\\\
3x = 180-6\\\\
3x = 174\\\\
x = \frac{174}{3} \\\\
\huge \purple {\boxed {x = 58}} \\\\
\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\
\therefore m\angle 4 = (2x)\degree \\\\
\therefore m\angle 4 = (2\times 58)\degree \\\\
\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]
Find the 43rd term of each sequence 27,24,21,18, ...
Answer:
hmmmmmmmmmm thats a tuff one
Answer:
-99
Step-by-step explanation:
First, let's find an equation to use to make things easier.
So, as we can see, the numbers go down 3 every time and we start at 27, so, the first term is 27, that means that we need to find the number before 27, so we add 3 to 27 to get 30.
We can put the equation using y = mx + b, since that is the most appropriate formula to use.
y = -3x + 30
y = -3(1) + 30
y = -3 + 30
y = 27
y = -3x + 30
y = -3(2) + 30
y = -6 + 30
y = 24
So, this is a good equation to use. Now, we substitute 43 as x
y = -3x + 30
y = -3(43) + 30
y = -129 + 30
y = -99
What is the slope of the line that passes through the points (1,-6) and (-8,9)? Write your answer in simplest form
Slope is the change in y over the change in x
Slope = (9 - -6)/( -8 -1)
Slope = 15/-9
Slope = -15/9
Simlipy:
Slope = -5/3
Answer:
Step-by-step explanation:
Slop = (y2 - y1)/(x2-x1)
= {9 -(-6)}/{(-8)-1}
= 15/-9
= -1.66
Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 969696 dog treats and split them evenly into bbb bags. Each bag contains 161616 treats.
Write an equation to describe this situation.
9514 1404 393
Answer:
16b = 96
Step-by-step explanation:
There are many aspects of "this situation" for which we could write equations. Perhaps the one that is of interest is ...
b bags of 16 treats each will total 96 treats
16b = 96
divide 40 into the ratio 9:1
Answer:
36 : 4
Step-by-step explanation:
40 divided into ratio 9:1 is like 40 / (9 + 1) multiplied to both sides of 9:1
40 / (9 + 1) = 4, and if you multiply both sides by 4, you get 36 : 4
Answer:
I think the answer is 36
Step-by-step explanation:
You add 9 and 1 to get 10 and then you divide 40 by 10 and get 4 and then you multiple 9 and 4 to get 36.
PLEASE HELP ME!!!!!!!!!!!!!!
Answer:
f(-1) = -6
Step-by-step explanation:
[tex]f(x) = (x+2)^{2}-6[/tex] for [tex]x\neq -1[/tex]
[tex]f(x) = -6[/tex] for x = -1
f(-1) means x=-1, so we can't use the first expression.
“Write a linear equation that is perpendicular to 2x-5y=5 and passes through the point (2,-9).
So first I made it into the Slope Intercept Form which would be -5y=-2x+5, then I divided everything by -5 (from the -5y) and got y=2/5-1.
After that I realized it was perpendicular (and this is where I got confused) I switched it to y=-5/2-1. (yeah I think it’s wrong)
Then I put it in the Point slope formula making it to be y-(-9)=-5/2(x-2). So that would be y+9=(-5/2)x+5.
So the product after doing the -9 from each side, would it be y=(-5/2)x-4?
The correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.
Here,
Let's go through the steps again and find the correct equation for the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9).
Step 1: Convert the given equation into slope-intercept form.
2x - 5y = 5
Subtract 2x from both sides:
-5y = -2x + 5
Now, divide everything by -5 to isolate y:
y = (2/5)x - 1
So, the slope of the given line is 2/5.
Step 2: Find the slope of the line perpendicular to the given line.
For two lines to be perpendicular, their slopes must be negative reciprocals of each other.
The negative reciprocal of 2/5 is -5/2.
Step 3: Write the equation of the line using the point-slope form.
Now that we have the slope (-5/2) and a point (2, -9), we can use the point-slope form of the linear equation:
[tex]y - y_1 = m(x - x_1)[/tex]
where m is the slope, and [tex](x_1, y_1)[/tex]is the given point.
Substitute m = -5/2 and [tex](x_1, y_1)[/tex] = (2, -9):
y - (-9) = (-5/2)(x - 2)
Simplify:
y + 9 = (-5/2)x + 5
Now, isolate y by subtracting 9 from both sides:
y = (-5/2)x + 5 - 9
y = (-5/2)x - 4
So, the correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.
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Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 − 2.5 y 2 + z 2 z ( x − y ). Evaluate f\left(2,3,1\right)f ( 2 , 3 , 1 ). Round your answer to two decimal places.
Answer:
[tex]f\left(2,3,1\right)=\bold{14}[/tex]
Step-by-step explanation:
Given the function:
[tex]f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}[/tex]
To find:
The value of [tex]f(2, 3, 1)[/tex] = ?
Solution:
[tex]f(2, 3, 1)[/tex] means the values of [tex]x, y\ and\ z[/tex] as:
[tex]x=2\\y=3\\z=1[/tex]
Let us put the given values in the given function and let us solve for it:
[tex]\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}[/tex]
Therefore, the answer is:
[tex]f\left(2,3,1\right)=\bold{14}[/tex]