The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
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Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.
Questions: Underline the correct answer.
1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).
We want to see underline the correct part in each statement.
1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).So, Jean and Jericho are playing on a seesaw.
Jean is heavier than Jericho.
Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.
If we define:
W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.We must have:
W₁*d₁ = W₂*d₂
Then:
1) This situation illustrates (direct, inverse) variation.
d₁, the position of Jean, varies inversely with respect to Jean's weight.
2) The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
(by the equation above)
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
By the given equation, we see that d₁ must be smaller than d₂.
And the last two are trivial:
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).
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A bird is 300 feet above sea level. If it soars downward to 135 feet above 10 points
sea level how far did it travel?
Can someone pls help me!
Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?
Answer:
Mrs. Storz must give 45 minutes
Step-by-step explanation:
Create a proportion:
t = total time given for all questions
[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]
Cross multiply:
3t = 135
Divide both sides:
3t/3 = 135/3
t = 45
Choose the steeper line.
y=-6x+1
or
y=-3x-2
Answer: y=-3x-2
Step-by-step explanation:
Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.
1,8,27,64
find the rule and show how did you find it
Answer:
Its a cubic number formula
Step-by-step explanation:
1, 8, 27, 64, 125, 216, 343
the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes
Answer:
3. sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes rational. It depends on the two given numbers.
After school, Cindy had a science club meeting for 55 minutes, followed by a choir rehearsal that lasted for 1 hour and 35 minutes. If Cindy got out of school at 1:15 P.M., what time did the choir rehearsal end?
Please help
Answer:
3:10
Step-by-step explanation:
Disposal time=1:15PM
Choir ending time:-
[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]
what is the smallest and largest you can make with 1,7,3,5 using each number only once
Step-by-step explanation:
the smallest :13
the largest :75
Answer:
smallest :13
largest :75
The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?
At a certain high school, 38 out of 108 students surveyed have a pet at home. If there are 2,000 students in the school, estimate the number of students in the school who have a pet at home.
A true/false test consists of 100 questions. A student knows the correct answer to 40 of the questions. She guesses each of the other answers independently based on the toss of a coin.
Answer:
whats the question
Step-by-step explanation:
pls help me
look at the picture
Answer:
third option is correct
[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]
[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]
Solve pls brainliest
Answer:
Hi, the answer should be 8.1 dollars
( 1 - 7n) times 5
What are the steps to solving it?
Answer:
5 - 35n.
Step-by-step explanation:
5(1 - 7n)
Using the Distributive Law:
= 5*1 + 5 *-7n
= 5 - 35n.
10-25 in negative form
-15 i pretty positive it is that
Have a good day
I hope this helps stay positive get it negative positive
Whoever answers first gets 5 stars, and a thanks. And if possible a brainliest
Answer:14.518
Step-by-step explanation:
Janna is making a prediction of the frequency of a key that is 12 keys from middle C. A 2-column table with 5 rows. The first column is labeled number of keys above middle c with entries 0, 1, 2, 4, 8. The second column is labeled frequency (hertz) with entries 277. 18, 293. 66, 311. 13, 249. 23, 440. 0. Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
edg 2022
Which equations represent exponential growth? Which equations represent are exponential decay?
pls help
Answer:
When the base is less than 1 it's Decay
When the base is greater than 1 it's Growth
Teresa received a $90 gift card for a coffee store. She used it buying some coffee that cost $8.59 per pound. After buying the coffee, she had $38.46 left on her card. How many pounds of coffee did she buy?
Answer:
6 pounds of coffee
Step-by-step explanation:
Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:
Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.
$90.00 - $38.46 = $51.54
Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:
$51.54 ÷ $8.59 per pound = 6 pounds
Therefore, she bought 6 pounds of coffee worth $51.54 from the store.
help help ples it due today .
Answer:
Rises -4 and runs -5
Step-by-step explanation:
So the slope is -4/-5
Please find x and y... I will mark you brainliest
Answer:
x.=6 y=7
Step-by-step explanation:
glad glad I could help
Answer:
x = 6
y = 7
Step-by-step explanation:
Side AB and side DC is equal so let's put it in a equation.
2y - 8 = y - 1
Use APE or Additive Property of Equality\
2y - y = 8 - 1
y = 7
So the value of y is 7.
Now substitute it to line BC.
y + 6
7 + 6
= 13
Since line BC and line AD has equal sides, let's put it in a equation.
2x + 1 = 13
2x = 13 - 1
2x = 12
Use DPE or Division Property of Equality
2x/2 = 12/2
x = 6
9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93
135000002.613! At least I think!
....................................................................................
Answer:
...................................................
Step-by-step explanation:
......
Answer:
Step-by-step explanation: what sicnificant figures?
Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
2.8 milesStep-by-step explanation:
Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
7 : 60 = x : 24
x = 7 * 24 : 60
x = 2.8 miles
The answer is right, but I am not 100 percent sure.
Step-by-step explanation:
a bc it should be good anser
Help me please I need to pass this class
Answer:
The answer is C
Step-by-step explanation:
I know this because if you 5 plus 3 is 8 right not the other ones so if you just add zero's it will be 50 plus 30 and then that will equal 80 so it is for every 5 question's he got 3 wrong.
Hope this helps ('o')
Given : In the recent maths test, Jeremy answered 48 questions correct out of 80 total questions. Which statement is correct ?
Solution :
As we know that total no. of questions is 80
Now, as per the options we get 80/5 = 16
However the third option seems to be the accurate as 3(16) = 48
So, we get to know that option C is correct
Out of every 5 questions, Jeremy answered 3 correctly.Need this question done asap ⏰
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{2 - ( - 1)}{1 - 0} [/tex][tex] \dfrac{2 + 1}{1} [/tex][tex]3[/tex]I hope it helps ~
Answer:
After looking at the image you posted, I deduced that the correct answer should be slope= 3.
Step-by-step explanation:
I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]
Firstly:
I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).
Secondly:
I then found the difference between the two points on the graph to be
(1,3) or (x=1, y=3).
Thus:
The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.
Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:
Answer: $920
Step-by-step explanation:
$115x8=$920 which is the total cost of eight tickets
Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight
Answer:
32.82
Step-by-step explanation:
Answer:
32.82 OUNCES
Step-by-step explanation:
It is really easy.
All you have to do is 5.47x6
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the others is:
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other
Simple random sampling.According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.
As a result of this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.
In this method, we can see that there are different types of random sampling techniques which includes:
Simple random samplingStratified random samplingCluster random samplingSystematic random samplingTherefore, the correct answer is Simple random sampling.
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