Answer:
7x
Step-by-step explanation:
First find the common factors of the numbers: 49, 21.
That would be 1 and 7.
The GCF is 7 b/c it is greater than 1.
Find the common factors of x and x^2.
That is x times x
The factor for x ^1 is x itself.
The common factor for the both of them is x.
The GCF is then x.
The multiply the both of the GCFs (x.7) and you now have 7x.
So the GCF is 7x.
The greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
In this question, the greatest common factor of [tex]49\cdot x^{2}-21[/tex] is the greatest multiple applied on each term of the polynomial. First we notice that greatest common factor may be entirely constant. Then, we proceed to calculate each constant by factor decomposition:
[tex]49 = 7^{2}[/tex], [tex]21 = 3\times 7[/tex]
Hence, we conclude that greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
We kindly invite you to check question on greatest common factor: https://brainly.com/question/11221202
Write a rule in function notation to describe the transformation that is a reflection across the x-axis.
Answer:
R(x, y) = (x, -y)
Step-by-step explanation:
When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.
For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.
So if we have a point like (4, 7)
Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)
Here we already can see the rule.
If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)
Then we can write this reflection as a function in the next way:
R(x, y) = (x, -y)
This means that if the input is the point (x, y), the output is the point (x, -y)
Find the area of the circle.
25 yd
The expression 3(x-9) is equivalent to
03(x)+9.
3(x)+3(9)
03(x) -9.
03(x) – 3(9)
Answer:
The expression equivalent to 3( x - 9) Is
3(x) - 3(9)
3x-27
The answer is D
3(x)-3(9)= 3x-27
Which situations are BEST modeled by an exponential function?
A)
The yearly depreciation of a car
B)
An investment compounded annually
The cost of screws sold by the pound,
D
The amount of sugar to make a pound of fudge,
E)
The annual growth rate of a city's population
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
How does the theoretical probability of the event to heads" change when a coin is flipped more times in an experiment?
la dispped the theoretical probability will increase
taisted, the theoretical probability will increase
Itata siped the theoretical probability will decrease
The theoretical probably will not change
Answer:
it will not change, there is no probability of a coin flip other than 50/50
Step-by-step explanation:
it's always 50/50
I need help with the question attached above in the picture
160 is what percentage of 40?
Answer:
400
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
If you meant what percentage 40 is of 160, its 25%
40/160= 1/4= 25%
160/40= 4/1= 400%
Help please it’s annoying
which value is closest to 0 on a number line? A.12 B.|-12.5| C.-11.75 D.|12.1
Answer: -11.75
Step-by-step explanation: The distance is 11.75 units close to 0, compared to the 2nd closest which is A (12)
simplify 7y + 2x + 3x + 2y
Answer:
9y+5x
Step-by-step explanation:
To simplify you need to combine the numbers with like terms so this should be right.
The original price of concert tickets is $100.00. If there is a discount of 21%, what is the sale price?
Answer:
its 100 so it would literally just be 100 - 21
Step-by-step explanation:
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations. You may include a sketch as part of your work.
2 To determine the amount of roofing materials needed, the area of the roof's entire surface is calculated, including the ceiling of the garage. Considering the sketch of the roofing design, create a formula to model the area of the roof's entire surface. In your final answer, include all of your calculations.
3The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface.
4The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. Create a formula modeling the area of the roof’s surfaces that the contractor will be purchasing supplies for.
5 Use the formula you created in the previous question to calculate the area of the roof that the contractor will be purchasing supplies for, assuming that the side length of the triangular bases is 25 feet and the length of each rectangular face is twice its width.
try your best i really need help!!
Answer:
Step-by-step explanation:
Step-by-step explanation: As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.
See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.
Now, in ΔADB, we have
AD^2=AB^2-BD^2
AD^2=AB^2-(1/2AB^2)^2
AD=√3/4AB^2
we can find the height of any one of the roof's triangular bases.
2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a
2. if a=25 ft, then the height is √3/2a=√3/2*25=1.732/2*25=21.7(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2
so the total area of the roof is
4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is √3/2a^2 + 2al
6. now a=25 and l=2a=50
Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866
=3041.3 (ft squared)
2 easy questions for 35 points
Answer:
for question 5
(1) 9x > 3x + 6
6x > 6
x=1
(2) $100-$10=$90
$90/5=18
Joan would need to work 18 hours
for question 6
P+ (PRT)/100
475 + 475(8.5)(12)/100
475+484.5
= 959.5
I hope this helped you ;)
Find the area of the figure.
A. 180 sq. ft
B. 38 sq. ft
C. 152 sq.ft
D. 150 sq.ft
E. 44 sq.ft
Answer:
D 150 sq ft
Step-by-step explanation:
10x12 = 120
1/2(10)(6) = 30
120+30 = 150
Find the volume of a sphere with a surface area of 1296 in.
Answer:
V≈4387.14
Step-by-step explanation:
The temperature at noon was 56°F. It fell 4°F each hour until 3 PM. What was the temperature at 3 PM?
A. 40°F
B. 44°F
C. 48°F
D. 52°F
Answer:
B
Step-by-step explanation:
one box has 16 apples. another box has 24 lemons. each apple weighs twice as much as each lemon. if a is the weight of the box of apples and b is the weight of the box of lemons, what is a/b?
Answer:
32/24
Step-by-step explanation:
16 times 2 is 32
The value of a/b is 4/3.
What is unitary method?The unitary method is used to find the value of a single unit from a given multiple.
One box has 16 apples.
One box has 24 lemons.
If 'a' is the weight of box of apples and 'b' is the weight of box of lemons.
As each apples weigh 2 times the lemon
Weight of box of apples= 16*2*b=32b
Weight of lemon box = 24b
So, a/b
=32b/24b
=32/24
=4/3.
Hence, value of a/b is 4/3.
Learn more about unitary method here:
https://brainly.com/question/23423168
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Write this expression in simplest form.
Answer:
[tex]7c\sqrt23d[/tex]
Solve for x
[tex]2x + 5 = 15[/tex]
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ [/tex]
2x=15-5
x=10/2=5
Hope it helps you.
Have a good day.
Please helpppppp!!!!!!
Answer:
C.
Step-by-step explanation:
1/3(x+9)=8 Please help
Answer:
I got x=15, Hope this helps!
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
[tex] \frac{1}{3} \times (x + 9) = 8 \\ \frac{x}{3} + \frac{9}{3} = 8 \\ \frac{x}{3} + 3 = 8 \\ \frac{x}{3} = 8 - 3 \\ \frac{x}{3 } = 5 \\ x = 3 \times 5 \\ x = 15[/tex]
Tommy has 3 dogs. Last month, he bought 5 pounds of dog food for 7.95, 8 pounds of dog food for 12.72, and 15 pounds of dog food for 23.85, what is the constant cost of the dog food per pound?
Answer:
The constant cost of dog food is $1.59 per pound.
Step-by-step explanation:
Divide each pound by the cost and you get $1.59
Which expressions are differences of squares?
Select each correct answer.
Answer:
First two are difference in squares.
81=9^2 225=15^2Answer:
The expression which denotes the differences of squares is
n² - 225
As here 225 is a square of 15.
Hope it will help :)❤
Classify the triangle by its angle measures. 80 30 70
Answer:
Scalene
Step-by-step explanation:
The three angles have different measures, so the sides have different lengths.
Sometimes it's hard not to assume something from a picture. Just because two of the sides look congruent doesn't mean they are. The information in the diagram (and geometry knowledge and logic!) are your guide.
-19 2/9 -4 1/9-(-3 4/9) = ?
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
PLEASE ANSWER!!
Carl is filling flower pots with soil. Each flower pot is a cylinder with radius 7in and height 20in. His bag of potting soil contains 12,000 cubic inches of soil. How many flower pots will he be able to COMPLETELY FILL with his one bag of soil?
A: 1 flower pot
B: 2 flower pots
C: 3 flower pots
D: 4 flower pots
Answer:
3 pots
Step-by-step explanation:
V(cylinder)= π×r²×h=3078.8 cubic inches
12,000 / 3078.8= 3.89
so you can only fill 3 pots
_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?
A) 10
B) 20
C) 40
D) 80
Answer:
C) 40
Step-by-step explanation:
For every one day your work is 5 hours.
1 day = 5 hours
Set up a proportion so it would be:
[tex]\frac{1 day}{5 hours} = \frac{4 days}{x hours}[/tex]
4 days x 5 hours = 20 hours/week
So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:
20 hours x 2 weeks = 40 hours in two weeks
A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c + 6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answer:
It’s 92
Step-by-step explanation:
$5 x 10 cakes= 50
$6 x 7 pies= 42
50 x 42= 92
Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Mr. Ramirez must ride his bike to burn more than 590 calories?
Answer:
t > 2.5
Step-by-step explanation:
590/236 = 2.5
t > 2.5