The factored expression of 9x^2 - 1 is (3x -1)(3x + 1)
How to factor the polynomial?The polynomial expression is given as:
9x^2 - 1
Express 9x^2 as a perfect square
(3x)^2 - 1
Apply the difference of two squares
(3x -1)(3x + 1)
Hence, the factored expression of 9x^2 - 1 is (3x -1)(3x + 1)
Read more about factoring at:
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Several years ago, a government agency reported the default rate (the proportion of borrowers who default on their loans) on a certain type of loan at 0.035. Set up the null and alternative hypotheses to determine if the default rate this year is less than 0.035.
What are the correct null and alternative hypotheses to test the claim that the default rate is less this year?
do you have a picture
Step-by-step explanation:
of the problem
What slope would make the lines
parallel?
y = x + 6
y = [?]x+4
Answer:
1
Step-by-step explanation:
Parallel lines have the same slope and it is understood for 1 to be the number in front of the x if there isn't one so, the slope or number for the second line would also be 1.
Walter owns and operates a shop that sells stationery. During 2019, he used $4,000 of his inventory for his personal use. How much of that $4,000 may Walter deduct directly from the gross income of the business?
Answer: depends if its about a tax deductable he can if its from his buisness account
Step-by-step explanation:
Solve: 7 = x + 12
A) -19
B) -5
C) 4
D) 5
Answer:
-5
Step-by-step explanation:
its similar to 12-5=7 really simple
Keith bought n pack of pencils.Each pack has 12 pencils.Write an equation to represent the total number of pencils p that keith bought
Answer:
n÷12 pack of pencils
Step-by-step explanation:
sub to cordae bizzell
Answer:
ok
Step-by-step explanation:
A letter is chosen at random from the word "ASSASSINATION". What is the probability that it is a vowel or a consonant?
Answer:
6/13 or 7/13
Step-by-step explanation:
There are 6 vowels in the given word
Probability (vowel) = 136
There are 7 consonants in the given word
Probability (consonant) = 137
Answer:
there is a 31.58 percent of probability.
or 6/13
What is the quotient of 6 and -1/2?
Which expression is equivalent to 6-(-8)?
Answer:
6 - (-8)
is 6 + 8
Step-by-step explanation:
What is 8x-3x-10+6 simplified
The length of a rectangle is 3x + 4 and the width is 2x + 7.
a. Write an equation for the perimeter P of the rectangle.
b. The perimeter of the rectangle is 62 feet. What is the value of x?
c. What are the length and width of the rectangle?
Step-by-step explanation:
P = 2 (2x+7) + 2(3x +4)Now, comparing the above with 62 we get x=4Length is 16 and width is 15Choose all of the expressions that are equal to 830,000. A. : 83 × 103 B. : 83 × 104 C. : 83 × 105 D. : 10,000 × 83 E. : 100,000 × 83
Answer:
Its D 10,000x83=830,000 and also its B because when you use the power of 10 exponents 83x10 and then the 4 on top that makes 830,000. Hope this helps!
Step-by-step explanation:
Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose the problem, the mechanic tells Jackson that he charges a flat, one-time fee of $60 and then $35 for each hour he spends trying to identify the problem. What is the slope in this scenario?
Answer:
The slope is 35
Step-by-step explanation:
Given
[tex]One\ Time\ Fee = \$60[/tex]
[tex]Hourly\ Rate = \$35[/tex]
Required
Determine the slope
First, we need to determine the equation.
Let y represents the total charges and x represents the number of hours.
y is calculated using;
[tex]y = One\ Time\ Fee + Hourly\ Rate * x[/tex]
This gives:
[tex]y = 60 + 35* x[/tex]
[tex]y = 60 + 35x[/tex]
Reorder
[tex]y =35x + 60[/tex]
The general form of an equation is:
[tex]y =mx + b[/tex]
Where m represents the slope
By comparison of [tex]y =mx + b[/tex] and [tex]y =35x + 60[/tex]
[tex]m = 35[/tex]
Hence, the slope is 35
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 29 bags of leaves. How
much money did he earn
Answer: he earned $145
Step-by-step explanation: jus cuz I think so
Answer:
58
Step-by-step explanation:
Will mark brainliest!
Answer:
4.817+9.099+17.008=30.924
484.603-48.198=436.405
Estimation 5+9+17=31
485-48=437
Just round each decimal to the nearest whole number and add or subtract
Answer:
first blank: 30.924
second blank: 436.405
Step-by-step explanation:
We can estimate by rounding numbers and adding
A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. The term paper counts as 20% of the course grade. The final examination counts as 20% of the course grade. Alan has test scores of
92, 78, 82, and 90.
Alan received an 80 on his term paper. His final examination score was 86. Use the weighted mean formula to find Alan's average for the course. (Round your answer to one decimal place.)
Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
please help me asap
Answer:
4 yards, thats what you get when you subtract 2 1/3 from 8 1/3
Answer:
4 yd
Step-by-step explanation:
6 1/3 - 2 1/3 is 4 yds because 1/3 - 1/3 is zero and 6 - 2 is 4
Tell whether the x- and y-values in the table show a proportional or non-proportional relationship. If the relationship is proportional, tell the rule. Select one:
aProportional; x = 3/7y
bNon-proportional
cProportional; x=1/3y
dProportional; x=2/5y
Answer:
b. Non-proportional
Step-by-step explanation:
A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.
The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:
y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4
Therefore, it is non-proportional.
Play made a recipe with 22 cups of liquid total 12 of which were fruit punch
Answer:
What is the question? I cannot see :(
Which statement best describes points P and Q?
Answer:
The y coordinates are the same since they are both at y= 4
Step-by-step explanation:
Jean-Claude equally shared a box of chocolates with two of his friends. The box weighed 9/5 pounds. How many pounds of chocolate did each person receive?
I find that if you transform fractions into decimals, they become marginally easier to work with. Nine over five in decimal form is one point eight. If we divide 1.8 by three (Jean-Claude and his two friends), then we come up with the answer 0.6, which, once turned back into a fraction, would be six over ten, or three over five.
What is the solution set to the equation (3x−9)(5x−3)=0?
{35,3}
{3}
{35,53}
{−3,−35}
Answer:
{ [tex]\frac{3}{5}[/tex], 3 }
Step-by-step explanation:
Given
(3x - 9)(5x - 3) = 0
Equate each factor to zero and solve for x
3x - 9 = 0 ( add 9 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
and
5x - 3 = 0 ( add 3 to both sides )
5x = 3 ( divide both sides by 5 )
x = [tex]\frac{3}{5}[/tex]
Michael has an average daily balance on his credit card of $327.50. His credit card charges 11.99% annual interest. What will his monthly finance charge be?
Answer:
i Think its 36.03
Step-by-step explanation:
np!
Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcakes well they be able to sell if the school fair 5 at 9:00 am and ends in 5:00 pm
Answer:
Step-by-step explanation:
Firstly,
We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:
There are 8 hours between 9am and 5pm
∴ It is 48:1
That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other
So if it is 48:1 then x:8 with be = 48x8
∴ Sarah and Jean will be able to sell 384 cupcakes
SOME1 PLEASE HELP ME ITS IN PNG
Answer:
10
Step-by-step explanation:
y = 4x - 3
37 = 4x - 3
40 = 4x
x = 10
Answer:
10
Step-by-step explanation:
.....
Challenge A warehouse store sells 5.5-ounce cans of tuna in packages of 8. A package of 8 cans
costs $16.72. The store also sells 6.5-ounce cans of the same tuna in packages of 3. A package of
3 cans costs $7.02. The store sells 4.5-ounce cans in packages of 5 cans for $7.65. Which
package is the best buy?
A package of the
V-ounce cans is the best buy.
Answer:
Step-by-step explanation:
the warehouse is the best buy because you get 44oz off tuna but if you buy the three pack you get 19.5oz and if you buy the five pack from store you 22.5oz of tuna
so the warehouse has the best deal on tuna
Reduce the fraction to the lowest term
[tex] \frac{4}{8} [/tex]
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To reduce the fraction to the lowest term, we divide the like term by the GCF of its numerator and denominator.
Here,
As 4 and 8 have the GCF as 4 itself. We divide both the numerator and denominator with the GCF (4).
Hence,
[tex]\frac{4}{8}\\=\frac{4}{8}/\frac{4}{4} \\=\frac{4/4}{8/4} \\=\frac{1}{2}[/tex]
A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 10ft/sec2. How long does it take to reach merging speed at 70mph?
Answer:
10.3secondsStep-by-step explanation:
Step one:
given data
acceleration,a= 10ft/sec^2
final velocity v= 70mph
first, let is convert mph to ft/sec
1mph is 1.46667 ft/sec
70 mph is x
cross multiply we have
x= 102.7ft/s
Step two:
we are using the first equation of motion
v=u+at
initial velocity u= 0m/s
102.7=0+10*t
102.7=10t
divide both sides by 10
t=10.3seconds
A triangle has sides with lengths of 12 meters, 18 meters, and 19 meters. Is it a right
triangle?
Answer: yes
Step-by-step explanation:
the two sides are near the same with one smaller and i learned at sc that that makes it right
A number is at most 13
Answer:
Meaning?????
Step-by-step explanation: