Answer:
Step-by-step explanation:
3x²+3x-6
=3(x²+x-2)
=3(x²+2x-x-2)
=3[x(x+2)-1(x+2)]
=3(x+2)(x-1)
Answer:
3(x - 1)(x + 2)
Step-by-step explanation:
Factor 3x^2 + 3x - 6
Step 1: Factor out a common factor from all terms if possible.
All terms have a common factor of 3. We start by factoring out the 3.
3x^2 + 3x - 6 =
= 3(x^2 + x - 2)
Step 2: We now need to deal with factoring x^2 + x - 2.
It is a trinomial of the form x^2 + ax + b, where the coefficient of x^2 is 1. To factor it, we need 2 numbers whose product is b and whose sum is a. In our case, we have x^2 + x - 2. We need two numbers whose product is -2 and whose sum is 1.
Pairs of numbers with product -2:
-2 and 1 since -2 * 1 = -2
-1 and 2 since -1 * 2 = -2
Now we add the two numbers in each line above.
-2 + 1 = -1 The sum is -1, but we need a sum of 1, so this is not it.
-1 + 2 = 1 Here we do get the sum of 1 that we need, so this pair of numbers is what we need.
The two numbers we need for factoring are -1 and 2.
Now we start the next step.
The factored trinomial will have this form.
= 3(x )(x )
All we need to do now is place each of the numbers in one of the blanks.
= 3(x - 1)(x + 2)
Answer: 3(x - 1)(x + 2)
In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE
Answer:
GE = 14
Step-by-step explanation:
The incenter is equidistant from the sides, so GD = GE = GF.
Set the expressions for GD and GF equal to each other and solve for x.
3x + 5 = 6x - 4
5 = 3x - 4
9 = 3x
3 = x
Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.
GE must be the same, GE = 14
3 divided by 5/6 = please help
Answer:
Exact form 18/5
Decimal Form 3.6
Mixed Number form 3 3/5
Step-by-step explanation:
Reduce the expression, if possible, by canceling the common factor.
What is the range of the data below?
Answer...
the answer is 41
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
1+sinθ
cosθ
=
cosθ
1−sinθ
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
Hope it helps.
If you have any query, feel free to ask.
A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?
Answer:
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Step-by-step explanation:
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
HELPPP ASAP
The section of the basketball court below needs to be resurfaced. How many square feet of wood do you need to cover the area below? Use 3.14 for pi and round your answer to the tenths place (one decimal place).
Answer: 680.4 square feet
Step-by-step explanation:
please mark brainiest
Yahoo in Sunnyville currently has a staff of 6,200 employees. Next month, Yahoo will decrease it’s staff by 8%. How many people will be employed by Yahoo next month?
Answer:
89
Step-by-step explanation:
A state that has license plates with 2 letters, followed by 4 digits.
Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does Lebron need to make 4 times the original recipe
Answer:
For 4 times the original recipe Lebron needs 12 cups of cranberry juice with 8 cups of apple juice.
Step-by-step explanation:
For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.
For 4 times the original recipe Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.
He will get 20 cups of punch.
We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.
can u guys help me
Answer:
Step-by-step explanation:
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
Ramon earns $1,645 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon’s earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
54.30/1645 = 0.033 = 3.3%
A 60-inch flat screen gets its name from the Pythagorean Theorem. The "60" represents the diagonal of the
screen. If the base of the TV is 48 inches, find the height.
Select the correct response:
36 inches
072 inches
54 inches
24 inches
Answer:
A- 36 inches
Step-by-step explanation:
The equation gives you 60 as a diagonal, so that means that 60 is the hypotenuse. It also gives you 48 as the length of a base.
Putting that into the Pythagorean theorem, you get...
48^2 + ?^2 = 60^2
Now, you need to solve for ?. After solving through the equation and simplifying, you're gonna get 36.
Mark as brainliest if this helped :)
Write an inequality for this graph
x > -75
keystrokes keystrokes
Answer:
the inequality would be x > -75
Explain how you know the equation x + 1 = 4 is equivalent to the equation 4x + 8 = 20.
Answer:
4-1=3
x=3
and
4x + 8 = 20
-8 -8
4x = 12
4 4
x = 3
Step-by-step explanation:
both x values equal 3
A movie is rated PG13 meaning that one must be at least 13-years old to watch the movie. The sign in the lobby of the theater reads
PG13 Viewers
must be s 13
Nami thinks the sign is wrong, but her friend Tai disagrees and finds nothing wrong with the sign. Who is correct and why?
Answer:
Step-by-step explanation:
well it decides on your parents but yeah tai is right pg 13 means 13 years old and.
TAI IS CORRECT BECUASE PG-13: Parents Strongly Cautioned, Some Material May Be Inappropriate for Children Under 13. This rating is a stronger caution for parents that content included may not be appropriate for children under 13 (pre-teen ages). This may include stronger language, extended violence or sexual situations and drug-use, and sex
Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5 cards with the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with $25, which of the following will happen?
Answer:
Her birthday money total will increase by $25 (total: $150).
Step-by-step explanation:
$10 + $20 + $25 + $30 + $40 + $25 = $150
I need help please help me ;-;
Answer:
I think option A is correct answer
Answer:
C
Step-by-step explanation:
Option C
I NEED HELP FAST PLEASE ASAP!!!
Answer:
Lines A and B
Lines D and E
Step-by-step explanation:
You can tell from the direction of the arrows. They represent parallel.
Point N is located at (-2, 4) on the coordinate plane. Point N is reflected over the y
-axis to create point N'. What ordered pair describes the location of N'?
ASAP
Answer:
(2,4)
Step-by-step explanation:
It's reflected over the y axis so it would still have the same y value but the x value will be positive instead of negative
The point is (2,4)
find the measures of the numbered angles in rhombus DEFG
Answer:
∠1 = 36°
∠2 = 72°
∠3 = 72°
∠4 = 72°
∠5 = 36°
Step-by-step explanation:
The angles of rhombus are ∠1 = 36°, ∠2 = 72°, ∠3 = 72°, ∠4 = 72°, ∠5 = 36°.
What is a rhombus?
A rhombus is a quadrilateral with four equal sides and opposite equal angles. It has two diagonals that bisect each other at right angles. It also has opposite sides parallel and the sum of all the four interior angles is 360 degrees.
For the given situation,
From the diagram of rhombus,
The angle is 72°.
In rhombus,
Opposite angles are equal.
So, [tex]\angle2 = \angle3 = \angle4[/tex] are equal to [tex]\angle72[/tex].
Diagonals bisect the angles and the sum of two adjacent angles is equal to 180 degrees.
⇒ [tex]\angle D + \angle E = 180[/tex]
Here, [tex]\angle D = \angle 72 + \angle 72[/tex]
⇒ [tex]\angle D = \angle 144[/tex]
Thus, [tex]\angle E = \angle 180 -\angle 144[/tex]
⇒ [tex]\angle 1 = \angle 36[/tex]
we know that, [tex]\angle E = \angle G[/tex]
⇒ [tex]\angle 5 = \angle 36[/tex]
Hence we can conclude that the angles of rhombus are ∠1 = 36°, ∠2 = 72°, ∠3 = 72°, ∠4 = 72°, ∠5 = 36°.
Learn more about rhombus here
https://brainly.com/question/11966028
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Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
A circle has a diameter of 8 cm. What is the circumference? Round to
the nearest hundredth.
Answer:
C≈25.13cm
Step-by-step explanation:
C=πd=π·8≈25.13274cm
d=2r
C=2πr
(hope this helps)
Step-by-step explanation:
area of a cicle is π[tex]r^{2}[/tex]
the diameter is twice as long as the radius so the radius would have a length of 4 cm.
π[tex]4^{2}[/tex]=50.27
Hope that helps :)
Brianna can rent a scooter for $15.00 plus $0.50 per mile.
Question 1
Part A
Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter.
Enter the correct answer in the box.
Answer:
you can say y=0.50m+15t
discuss who the contributors were in algebra
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Factorice lo siguiente
5
Answer:
61
Step-by-step explanation:
marque esta respuesta como la más inteligente
PLEASE HELP!!
The circumference of a circle is 3.5mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
SF means significant figure.
Answer:
given the to find the circumference is diameter by pi, so divide 3.5 by pi to get 1.11408460164 so.. 1.114?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1.1140846016433
Explanation:
3.5 / pi = 1.1140846016433
I hope this helped!
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- Zack Slocum
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Running at a constant rate, Miguel ran 12 miles in a time of 120 minutes. How many minutes does it take Miguel to run 6 miles?
Answer:
60 min
Step-by-step explanation:
120 divided by 2= 60