If (X + 8) is a factor of f(x), which of the following must be true?
Both x = -8 and x = 8 are roots of fox).
Neither x = -8 nor x = 8 is a root of f(x).
f-8) = 0
f(8) = 0
Answers
Answer:
Correct option: Third one
Step-by-step explanation:
Let's analyse each sentence:
"Both x = -8 and x = 8 are roots of f(x)"
False, we can't affirm that x = 8 is a root of f(x) with the information given.
"Neither x = -8 nor x = 8 is a root of f(x)"
False, because x = -8 is a root of f(x), because the factor (x + 8) would be zero, and it is multiplying the rest of the function, so the final value would be zero.
"f(-8) = 0"
True, because x = -8 is a root, and the factor x + 8 will be zero and will multiply the other factors of f(x)
"f(8) = 0"
False, because x = 8 is not a root of f(x)
So the correct option is the third one
Answer:
C
Step-by-step explanation:
edge
Related Questions
A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm, what is the actual height of the Eiffel Tower?
Answer Choices
48.16 meters
310 meters
301 meters
602 meters
Answers
Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301
Answer:301m
Step-by-step explanation:120.4/2=60.2 60.2*5=301
Brianna takes her car to the Super Suds car wash once every month. She spends $8.95 each time. How much did she spend on car washes last year?
Answers
This is because there are 12 total months in a year, and she spends $8.95 per month. You would multiply 8.95 by 12 to get the answer $107.4
A soda dispenser puts out 6 ounces of orange soda to every 8 ounces of cola.
How do you express the ratio 6:8 as a unit rate?
Answers
Step-by-step explanation:
6+8= 14
6/14×100=3/7×100=300/7=42.85
8/14×10=4/7×100=400/7=57.14
Answer:
0.75
Step-by-step explanation:
in a unit rate the denominator is always 1. So, to find unit rate divide the denominator with the numerator in a way that the denominator becomes 1.
What is the surface area of this right triangular prism? PLEASEEE HELPPPP It's 3D geometry
Answers
Answer:
1200 square inches
Step-by-step explanation:
Surface area of right triangular prism:
\(\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}\)
b = base of the triangle = 30 in
h = altitude of the triangle = 8 in
\(\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in\)
l = length of the rectangle = 15 in
Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15
= 30*8 + 64 *15
= 240 + 960
= 1200 square inches
Answer: it is going to be 24
Step-by-step explanation:
SMAT PPL HELP PLSSSS
Answers
Answer:
1.) A=a²
2.) A=a
3.) v=a³
4.) A=a⁴
Answer:
E
Step-by-step explanation:
Hush hush blush blush
24 orders in 2 days = _ orders per day
Answers
Answer:12 orders per day
Step-by-step explanation:divide the number of orders by the number of days
Please explain for me. Thx/5 star/brainliest/19 pts/ cookie
Answers
Answer:
less than
Step-by-step explanation:
4000 ft
-------------
minute
We need to convert minutes to hours and ft to miles
60 minutes = 1 hour and 5280 ft = 1 mile
4000 ft 60 minutes 1 mile
------------- * --------------- ----- * -----------
minute 1 hour 5280 ft
45.454545 miles / hour
please answer and include step by step explanation
no bots
unrelated answer/comment = report
Answers
You have $5 for lunch. You bought a turkey sandwich for $2.25.
A. Write an inequality that represents how much more money you can spend.
B. Solve your inequality.
Answers
So you either spend the whole 2.75 or you can spend less so your inequality would be 2.75 is greater than or equal to x
Answer:
$2.75 you have left to spend
Step-by-step explanation:
5 - 2.25 = 2.75
???????????????????????????
Answers
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
What is the approximate area of the figure that is shaded in blue below?
A. 48 in2
B. 55 in2
C. 62 in2
D. 70 in2
Answers
Answer:
A: 48in2
Step-by-step explanation:
Area of a rectangle = Length x Width
The complete figure is rectangular in shape with:
Length = 11 in
Width = 5 in
Area = 11 x 5
Area = 55 in2
The pink part is triangular in shape with:
height = 4in
Base = 3.5 in
Area of a triangle = 0.5 x base x height
Area of the pink portion = 0.5 x 3.5 x 4
Area of the pink portion = 7 in2
Area of the blue portion = (total Area) - (Area of the pink portion)
Area of the blue portion = 55 in2 - 7 in2
Area of the blue portion = 48 in 2
Hope this help you!
Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15
Answers
Answer:-4/15 - 17
negative 4 over 15 plus negative 17
Explain: negative 4 over 15 plus negative 17
At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo.
Complete the table.
Original ratio Number in the zoo
Baby camels 555
Adult camels 666
Total camels
444444
Answers
Answer:
1 adult camel for every 11 baby camels, or 1:11
just a simple math quest pls do get it wrong 32x4
Answers
Answer:
128
Step-by-step explanation:
Answer: 128
Step-by-step explanation: Hope this help :D
(32)(4)=128
32*4=128
Please solve QUICKLY
Answers
Answer:
C
Step-by-step explanation:
It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.
pls answer this!! I need help
Answers
she is 3 floors down so she has to go up three to get to ground level and then ten more to get to her office. 3+10=13
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
For your trouble answering this, you will get 30 points. for all the trouble this may cause.
A: 2 cups concentrate, 3 cups of cold water
B: 5 cups concentrate, 9 cups of cold water
C: 1 cup concentrate, 2 cups of cold water
D: 3 cups concentrate, 5 cups of cold water.
A1: which mix will make juice that is the most "orangey"? explain your reasoning.
A2: Which mix will make juice that is the least "orangey"? explain your reasoning.
C: assume that each camper will get ½ cup of juice. answer questions (1) and (2) below for each of the four recipes.
1: how many batches are needed to make juice for 240 campers?
2: How much concentrate and how much water is needed to make juice for 240 campers?
Answers
Answer:
read below
Step-by-step explanation:
A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work sooooo.... A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.
A2: C
1 cup of concentrate vs 2 water.... the water will make it MUCH more of a clear color.
Question C: this is more time consuming and I am tired so for you this might be easier if you're not as tired so based on what I'm reading you need to do math for each of the 4 options above, concentrate and water mix, and then divide the total of the 2 types of cups for every option.
Hope Q1 and Q2 helped though!
8th grade math i mark as brainliest
Answers
Answer:
1/6
Step-by-step explanation:
GIVING BRAINLIEST TO BEST EXPLANATION AND CORRECT ANSWER!!!!!!!
OPEN DOCUMENT TO FIND QUESTION AND ANSWER!
PLEASE HELP
Answers
Chill dude.
Stop with the all caps.
G = green sweets
Ratio of blue to green = 3:5
Ratios are essentially fractions, and can be converted into fraction form
Therefore, number of blue sweets is 3/5 of green sweets, which can also be represented as 3/5g
Number of green sweets to red sweets is 6:1
We can also flip this ratio around and the ratio would still have the same value.
Number of red sweets to green sweets = 1:6
In fraction form, the number of red sweets is 1/6 of green sweets, which is also 1/6g.
Since there are less than 270 sweets in the box, we can use this expression to represent the sweets in the box:
G + 3/5g + 1/6g < 270
Find a common denominator for the fractions.
5 * 6 = 30, thus a common denominator would be 30.
Since G is a variable with no coefficient, 1 would be implied because no coefficient is present.
So when multiplying G to get a common denominator, the numerator would be 30. 30/30 = 1
G * 30 = 1 * 30
G = 30/30g
Multiply the rest of the numerators and you’ll get:
30/30g + 18/30g + 5/30g < 270
Add.
1 + 18/30g + 5/30g = 1 23/30g
Convert this into an improper fraction.
53/30g < 270
Now divide both sides by 53/30.
(53/30g) ÷ (53/30) < 270 ÷ (53/30)
= g < 270 ÷ (53/30)
Dividing fractions is complex, so you can simply switch the numerator and denominator and multiply:
G < 270 x (30/53)
= g < 8,100/53
Since the number of red sweets to green sweets is 1/6g the number of green sweets, the number of red sweets is 1/6 of 8,100/53.
R = red sweets
R < 8,100/53 x 1/6
8,100 x 1 = 8,100
53 x 6 = 318
R < 8,100/318
318 goes into 8,100 25 times, regardless of any remainder.
Therefore, the greatest possible number of red sweets in the box is 25 red sweets.
simplify
10m + – 8 + 9m + – 10m
Answers
Answer:
9m-8
Step-by-step explanation:
you need to group like terms and solve
Answer:
9m - 8
Step-by-step explanation:
We know that,
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( + )
( - ) × ( + ) = ( - )
Accordingly, let us solve it now.
10m + ( – 8 ) + 9m + ( – 10m )
Solve the brackets.
10m - 8 + 9m - 10m
Combine like terms.
9m - 8
I need help plz will give brainliest
Answers
Answer:
$10,000
Step-by-step explanation:
Cross multiply and divide by 55.
Hope this helps!
$10000
Step-by-step explanation:
5500 = 55% × amount paid for the car(p)
5500 = 55÷100 × p
5500×100 = 55p
550000 = 55p
550000÷55 = 55p÷55
10000 = p
PLS HELP ! Solve the addition equation by finding a common multiple. one half + two thirds + four sixths equals ___
Answers
Answer: 1/2 + 2/3 + 4 /6 = 11/6
Step-by-step explanation:
1/2 + 2/3 + 4 /6
We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.
Note that we do not change 4/6, since it already has a denominator of 6.
==> 3/6 + 4/6 + 4/6
Add;
==> 11/6
3/6 + 4/6 + 4/6 equal to 11/6
Hope this helped!
I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT
Answers
Answer: You should do a representation of how the heat and light waves reach humans on earth and keep us warm.
Step-by-step explanation:
all your answers are already in the task introduction.
1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)
2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.
3. Use yellow pipe cleaners for solar energy to represent radiation.
4. Rest is up to you for how you want it to look.
using the ordered pairs (x, y) in the table
what is the proportionality constant or the rate of change?
Answers
christopher places an order for 48 dozen cookies to bring to his family holiday party. his family eats 2/3 of the cookies, how many cookies are left over?
Answers
Answer:
16 cookies are left.
Step-by-step explanation
2/3 of 48 is 32
48-32=16
2/3 of 48 is 32.
48-32=16
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
please help my finals
Answers
Answer:
m=>500
Step-by-step explanation:
hope it helped :3
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
Answers
Answer:
The original data set would be:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
So to find the range you would do:
105 - 57 which equals 48.
So the range for the original data set would be 48.
The new data set adding 80.8:
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
So to find the range for the new data set you would do:
105 - 57 which would still equal 48.
So the range for the new data set would be 48.
The range for the original and new data set stayed the same.
Step-by-step explanation:
You're welcome.
Step 2: find the range
105 - 57 = 48
The range for the original data set is 48.
The new data set is adding 80.8
Step 1: find the new data set.
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
Step 2: find the range
105 - 57 = 48.
The range is still the same for the original and new data set.
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)