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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is the first option .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more panes while repairing the garage. what is the cost of another 4 panes?
Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the boys now?
Answer:
I believe they are younger
Step-by-step explanation:
I hope this helps
Write a linear function f with the values f(0)=−3 and f(7)=11.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Find the slope and y-intercept for the table.
slope:
y-intercept:
Answer:
slope: 3
y-intercept: 3?
Step-by-step explanation:
Solve the equation 35h+25=40h to find how many hours
__ hour(s)
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Heather sells cosmetics for a local company. During her first month of employment her sales were $60. During her second month her sales were $300. What was Heather’s percent of increase in sales? (Remember to move your decimal two places or multiply by 100 to make a decimal a percent!)
Answer:
80%
Step-by-step explanation:
300/3=100
60/3=20
100-20=80
Solve the system of equations:
3x-3y = -15
and
-x+y = 5
Answer:
x=0 y=5
trust me I think its right
What is the value of 6(2b-4) when b =5
Answer:
Step-by-step explanation:
6(2b-4) sub 5 for b
6(2(5)-4)
6(10-4)
60-24
36
What is the quotient of -3/8 And -1/3?
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way!
[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]
Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:
[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]
Now multiply
[tex]\frac{9}{8}[/tex]
And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
A perimeter of a square field is 20cm. what is the area of the field?
Select one:
a. 25cm2
b. 16cm2
c. 12cm2
d. 48cm2
The area will be 25cm²
HOPE IT HELPS YOU♡♡
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
Help. IM SO LOST ON THIS! ;(
Answer:
1. 4[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
For question 1, you need to know the ratio between the recipe and the amount in question.
So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.
Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups
To solve it then, you just do 3.5 x 4/3 to get 4[tex]\frac{2}{3}[/tex] cups of potatoes
There's your answer.
Find the slope of the line passing through each of the following pairs of points.
(0, 7), (0, −8)
Answer:
holy, thats hard, I will try to do it for you
Step-by-step explanation:
HELP PLZZZZZZZZZZ ITS DUE NOW
Answer:
yes its a right trinagle
Step-by-step explanation:
well first it has a right corner which is a right angle you can tell by putting your hand like a L
The formula for the time it takes to travel a distance of d at an average speed v is d/v
Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration Tessas dash in seconds?
A.) 7.5/100
B.) 100/7.5
C.) 7.5/100•60
D.) 100•60/7.5
Answer:
The answer is B
Step-by-step explanation:
d/r = t
d = 100 m
r = 7.5 m/s
t = ?
t = 100/7.5
Answer:
I believe the answer is B.
Explanation:
If you are trying to find out how fast she ran you need to compare it to the total area of land she ran.
HELPPP!! which of the following could be the ratio between the lengths of two legs of a 30,60,90 triangle
check all that apply:
whoever gives me the correct answer gets brianliest
Answer:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The tangent ratio is defined as:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The cotangent ratio is defined as:
[tex]\displaystyle \cot\theta=\frac{\text{adjacent leg}}{\text{opposite leg}}[/tex]
As shown above, the tangent and the cotangent are the ratios of the two legs in any possible order.
If the triangle has angles of 30°, 60°, and 90°, then we can take one of the acute angles and find the tangent and cotangent to know the required ratios:
Let's take for example the 30° angle:
[tex]\displaystyle \text{ratio of legs: }\tan 30^\circ=\frac{\sqrt{3}}{3}[/tex]
[tex]\displaystyle \text{ratio of legs: }\cot 30^\circ=\sqrt{3}[/tex]
Thus the possible ratios from the list are:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
The reciprocals of those ratios are also applicable
At noon, the temperature on Mt. Washington in Maine was 0°C. The temperature dropped an average of -0.5°C an hour. At what time would the temperature be -2.5°C? Explain what you did to get your result.
Answer:
5:00 pm
Step-by-step explanation:
Given that:
Temperature at noon = 0°C
Average temperature drop rate = - 0.5°C per hour
What time would temperature be - 2.5°C
Hence, target temperature = - 2.5°C
Time taken for temperature to drop = (target temperature / temperature drop rate)
Time taken = - 2.5°C / - 0.5°C / hr
Time taken = 5 hours
Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon
12: 00 noon + 5 hours = 5:00 pm
Hence, temperature will be - 2.5°C by 5:00 pm
does anyone know how to do this ?
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
Hurrrryy i neeed hellp The Egyptians needed to know the _________ of everyone’s land so they could determine the amount of taxes one would pay for that land.
A.
inhabitants
c.
shape
b.
size
d.
Egyptians did not pay tax
Answer:
d. Egyptians did not pay tax
Step-by-step explanation:
If the Egyptians were to pay tax from land they would use the area of the land.
Answer:
size I think, sry if wrong(
Find the distance traveled at 35 mi./hr for 2.5 hr
Answer:
5.0
Step-by-step explanation:
Answer: 87.5 miles
Step-by-step explanation:
Using the distance formula, S*T=D
35*2.5=87.5 miles
Hope is this helpful! :DD
Which graph represents the equation y−3.6=1.6(x−1)?
show work, please!
Answer:
A
Step-by-step explanation:
kapa
Question 2 of 10
A cell membrane is very specific about what it allows across. How does this
help the cell?
A. It helps the cell absorb as many different molecules as possible.
B. The cell works better when it contains fewer proteins.
C. It is better for the cell if most molecules are prevented from
entering
D. Transport proteins allow only enzymes to pass through the
membrane.
SUBMIT
PREVIOUS
Answer:
I beleive the answer is C
Step-by-step explanation:
Correct me if im wrong, but im pretty sure c is the most logical answer, next to D
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
What is the value of h
Answer:
h in what?
Step-by-step explanation:
Step by step please
9x^2 -3х + 16 = 6
Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
A creek is rising at a rate of 2 inches per hour. If the creek raises more than 3 feet, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? (Remember there are 12 inches in a foot.) *
Answer:
16 hours
because in 16 hours 2 inches per hour it will overflow
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?
a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.
Answer:
78 adult tickets were sold
2x + x = 234
3x = 234
x = 78