9514 1404 393
Answer:
f(7) = 154
Step-by-step explanation:
The basic idea is you put 7 where x is and do the arithmetic.
Polynomial evaluation is sometimes easier if you rewrite it to Horner form.
f(x) = (4x -7)x +7
f(7) = (4·7 -7)(7) +7 = 21(7) +7 = 147 +7
f(7) = 154
It’s time so please ASAP
Which expression is equivalent to the following complex fraction
3
-4
X-1
2-
2
X-1
금
O
2(x-2)
-4x+7
-4x+7
O 2(x-2)
-4x+7
2(x2-2)
21x²-2)
-4x+7
Answer:
B
Step-by-step explanation:
The answer can be obtained by simplifying the whole fraction
I need help to fine the statement that is true
Answer:
option A
Step-by-step explanation:
wx and zy making 90 angle with each other therefore they are perpendicular.
wx and ab making 0 angle with each other therefore they are parallel
What happens to the median of the data set
{2, 4, 5, 6, 8, 2, 5, 6} if the number 10 is added to the data set?
A. The median does not change.
B. The median increases by 2.
C. The median decreases by 0.25.
D. The median increases by 1.
Answer:
A. The median does not change.
Step-by-step explanation:
Original data set,
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8
Median is the middle number
2,2, 4, 5, 5, 6,6, 8
It is between the two 5's
(5+5)/2 = 10/2 = 5
New data set
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8,10
Median is the middle number
2,2, 4, 5, 5, 6,6, 8,10
The middle number is 5
Answer:
The answer is A
Step-by-step explanation:
Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?
Answer:
[tex]f(t)=6(1.12^t)[/tex]
Step-by-step explanation:
every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t
Simplify i to the 31st power
Answer:
?
How did you simplify
What is the solution for this equation?
by – 12) = 21
O {9, 33)
O {-9, 33}
O {-33, -9}
O {-33, 9}
Sol-1
[tex]\\ \sf\longmapsto |y-12|=21[/tex]
[tex]\\ \sf\longmapsto y+12=21[/tex]
[tex]\\ \sf\longmapsto y=21-12[/tex]
[tex]\\ \sf\longmapsto y=9[/tex]
Sol:-2
[tex]\\ \sf\longmapsto y-12=21[/tex]
[tex]\\ \sf\longmapsto y=21+12[/tex]
[tex]\\ \sf\longmapsto y=33[/tex]
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.
a) Conduct the appropriate hypothesis test using a 0.1 level of significance.
b) What is the test statistic? Give your answer to four decimal places.
c) What is the P-value for the test? Give your answer to four decimal places.
d) What is the appropriate conclusion?
i. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.
ii. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1.
iii. Reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.
iv. Reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1.
Answer:
Step-by-step explanation:
99% =2.58
xbar / Point Est. 50.67
µ 50
σ 3.9
n 36
Confidence Interval
50-> (48.9,52.44) -> Fail to Reject H0
Test Statistic 1.0308
P-Value 0.1549
Describe the transformation in the given image.
1
2
Rotation
Reflection
3
Translation
O Dilation
4
Answer:
Translation
Step-by-step explanation:
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.
I hope this helps :3 Please feel free to ask any questions that you may have.
Which of the following show the factored equivalent of
f(x) = (2x^2 +7x + 3)(x - 3) and its zeros?
Answer:
the answer is "D"
(2x+1)(x+3)(x-3) //// -3,-.5,3
Step-by-step explanation:
Factored Form: y= (2x+1)(x+3)(x-3)
Answer:
D
Step-by-step explanation:
[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex] is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]
That takes out the choices B and C.
The roots are -0.5, 3, and -3.
Therefore, the answer is D.
I hope this helps!
pls ❤ and mark brainliest pls!
¿Cuál es el volumen de un cubo de 10 cm de lado?
Answer: 1,000 cm^3
Step-by-step explanation:
10*10*10=1,000 cm^3
An employee works 22 days per month if they work an average of 8 and a quarter hours per day how many hours do they work per month
Answer:
181 1/2 hours a month.
Step-by-step explanation:
You multiply the days per month=22
By the hours they work per day=8 1/4
(Optional) You turn 1/4 into .25
Then: 22 × 8.25= 181.5/181 1/2
I hope this answer helps you out. Brainliest would be appreciated. Have a very nice day/night.
Use the distributive property to simplify
the equation below.
с
8(2a + 4b - c)
[? ]a + [ ]b - [
[ ]
Answer:
16a +32b - 8c
Step-by-step explanation:
8(2a + 4b - c)
Distribute
8*2a + 8*4b+ 8*(-c)
16a +32b - 8c
Answer:
16a + 32b - 8c
Step-by-step explanation:
You bring 8 inside the parenthesis and then multiply it with everything. so for a you put 16, b you put 32 and c you put 8
A computer is priced at $2,000. If the sales tax rate is 7.5%, find the total cost of the
computer?
9514 1404 393
Answer:
$2150
Step-by-step explanation:
The tax is 7.5% of the price, so is ...
$2000 × 0.075 = $150
The total cost is the price with tax added:
$2000 +150 = $2150
Three research departments have 6, 9,
and 7 members, respectively. Each
department is to select a delegate
and an alternate to represent the
department at a conference. In how
many ways can this be done?
Answer:
I don't know because I don't understand what you mean
Ann,Ryan and Keith have a total of $114 in their wallets. Ryan has three times what Keith has. Keith has nine dollars less than Ann. how much do they have in their wallets?
Answer:
Ann has $30
Ryan has $63
Keith has $21
Step-by-step explanation:
First I assigned variables to the amounts each owns. It doesn't really matter what letters, but I said x represents Ann's money, y represents Ryan's money, and z represents Keith's money.
We know that with all their money added up, they have 114. This gives us our first equation;
114=x+y+z
Ryan has 3 times what Keith has, which, in terms of variables, is
y=3z
Keith has nine dollars less than Ann. Less, in word problems, always means subtraction. This gives us our third equation:
z=x-9
Okay so the impulse is to put z=x-9 and y=3z into the first equation, but the goal is to create an equation with only one variable so this will not work.
What we do instead is sub z=x-9 into y=3z. This gives
y=3(x-9)=3x-27
Now that both y and z are in terms of x, we plug those equations into the first and then solve for x;
114=x+3x-27+x-9
114=5x-36
150=5x
30=x
Now that we know x, we can find z and y using the equations from earlier:
z=30-9=21
y=3(21)=63
x=30, y=63, and z=21, thus Ann has $30, Ryan has $63, and Keith has $21.
.2333 repeating as a fraction
Answer and Step-by-step explanation:
0.2333...
First, multiply the number by 10 (because there is 1 number being repeated.
2.333.....
Now subtract by the original number.
2.333...
- 0.2333...
2.10
Write this as an equation:
(10 x fraction) - fraction = 2.1 (10 x fraction) - fraction = 9 x fraction
9 x fraction = 2.1 (Divide both sides by 9)
[tex]\frac{2.1}{9}[/tex] = [tex]\frac{7}{30}[/tex]
[tex]\frac{7}{30}[/tex] is the answer.
(To check, do 7 divided by 30 in a calculator, and you will get 0.233 repeating)
#teamtrees #PAW (Plant And Water)
I hope this helps!
plz help me on this question best and right answer gets brainliest
Answer:
| - 5| 5
| 6 | 6
| - 9 | 9
the numbers will be positive when they come out from the absolute value
Answer and Step-by-step explanation:
The absolute value of a value is the positive version of that value.
| | <- Brackets are used to show that a value is being absolute.
|-5| = 5 The negative 5 with absolute brackets becomes a positive 5.
|6| = 6 A positive 6 with absolute brackets stays a positive 6.
|-9| = 9 A negative 9 with absolute brackets becomes a positive 9.
#teamtrees #PAW (Plant And Water)
How do I graph x+3y≥12?
look at the image below
that's what I got, you can confirm if it's correct or not... I'm not sure
have a nice dayʘ‿ʘ
llana has 70¢ in her purse. All the coins have the same value. What could describe all the coins she has in her
purse?
71 pennies
8 dimes
1 0 0
14 nickels
3 quarters
Answer:
14 nickels
Step-by-step explanation:
One nickel is worth 5 cents, so find the value of 14 nickels by multiplying 14 by 5:
14(5)
= 70
So, 14 nickels is equal to the 70 cents that she has in her purse.
The correct answer is 14 nickels.
What is the equation of a line that passes through points A
(1, 2) and B (4, 3)?
Answer:
3y=x+5
Step-by-step explanation:
The slope of the line is (1/3). The equation of the line is y=(1/3)x+5/3 or 3y=x+5
solve the following inequality -1≤d+2/5≤6∕5
Answer:
-7/5≤d≤4∕5
Step-by-step explanation:
-1≤d+2/5≤6∕5
Subtract 2/5 from all parts
-1-2/5≤d+2/5-2/5≤6∕5-2/5
-5/5-2/5≤d+≤4∕5
-7/5≤d≤4∕5
if f(x) = 5x^2 -3 and g(x) = x^2-4x find (f-g) (x)
Answer:
10x-2x-4=8x-4 اتمنى لك التوفيق
look at the image below
Answer:
4.2 mi²
Step-by-step explanation:
Volume of a cone = (1/3)πr²h, where r = radius and h = height
(1/3)πr²h
= (1/3)×π×1²×4
= 4π/3
= 4.2 mi² (rounded to the nearest tenth)
Please help me to find out the answer
9514 1404 393
Answer:
80.99 m
Step-by-step explanation:
The hypotenuse of the triangle is given, and the desired side length is the one adjacent to the angle marked. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Multiplying by the hypotenuse, we find ...
RY = (82 m)cos(9°) ≈ 80.99 m
The acute angle of the right angle triangle are in the ratio of 4:5
Answer:
Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.
Step-by-step explanation:
hope it helps.
Answer:
40and50
Step-by-step explanation:
let the acute angles be 4x and 5x then,
4x+5x+90=180 [sum of all angles of a right angled triangle]
or,9x=180-90
or,x=90/9
x=10
4x=4×10=40
5x=5×10=50
Help me with this question plz
9514 1404 393
Answer:
17
Step-by-step explanation:
The points at the ends of the interval are ...
(0, f(0)) = (0, 0)
(7, f(7)) = (7, 119)
The average rate of change is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (119 -0)/(7 -0) = 119/7 = 17
Complete the equation of this circle:
pleaseee helpp
Answer:
(x – 3)^2+ (y – 2)^2 = r^2
Step-by-step explanation:
The co-ordinates of the center=(3,2)
The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,
(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
Therefore, (x – h)^2+ (y – k)^2 = r^2
=(x – 3)^2+ (y – 2)^2 = r^2
You can find r^2the equation.
It’s question 14 I need help with please it’s due soon
if you are trying to work out -3/4 - (-1/4 - 1/2) then the answer is 0
The sum of 7 and 3 times a number is 34.
What is the number?
Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
