what is the quotient (3x^2 + 8x -3) divided by (x + 3)
Answer:
Quotient = (3x-1)
Step-by-step explanation:
we need to find the quotient when (3x² + 8x -3) is divided by (x+3)
It means we need to divide (3x² + 8x -3) by (x+3).
We can write it as follows :
[tex]\dfrac{3x^2 + 8x -3}{(x+3)}[/tex]
Applying middle term splitting on the numerator.
[tex]\dfrac{3x^2 +9x-x-3}{(x+3)}\\\\=\dfrac{3x(x+3)-1(x+3)}{(x+3)}\\\\=\dfrac{(3x-1)(x+3)}{(x+3)}\\\\=(3x-1)[/tex]
So, the required quotient is (3x-1)
Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?
Answer:
C. 36
There are 150 cups total, and 60 blue cups
[tex]150/60=0.4[/tex]
Multiply that by the number of cups he picked up
[tex]0.4*90=36[/tex]
Which ordered paur is a part of the equation? 3x-y=13
Answer:
(6,5), (3,-4) either one of those...
There is a square with a perimeter of
412
what is the length of the diagonal?
Answer:
hhjbvft
Step-by-step explanation:
jojo giving kbjvuvuvvuvugubibbibiogg
Help pls ill mark brainliest
Answer:
<XWY= 180-23
Step-by-step explanation:
angles on a straight line add up to 180!
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, I will follow u back!
Order these fractions from least to greatest 6/8, 3/8, 5/8
Answer:
3/8, 6/8, 5/8
Step-by-step explanation:
that is the right answer
Need help asapppppppp
Answer:
It is not a function.
Step-by-step explanation:
Input (x)
Output (y)
An input can never have two outputs
2 = 20
2 = 40
makes it not a function
10,10,10,20 i hope that helps but if not its cause i dont really understand the question
The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
The band needs to raise $2,400.00 to pay for a trip to the state capital to participate in a parade. They are selling 3-gallon tubs of caramel popcorn for $18.25 each. They have already raised $1,314.00 from the fundraiser.
Answer:
1086/18.25 = 59.51
60 more tubs of popcorn to reach their target.
Step-by-step explanation:
OK, here we go. Golf Club first
You subtract the total amount they need to raise, by the amount they already have:
2620 - 1225 = $1395.00 to go
Divide that number by the price of golf balls to find out how many more they need:
1395/25 = 55.8
This means that they need to sell at least 56 golf balls to meet the target.
Now to the Percussion Club...
Do the same thing again:
2400 - 1314 = $1086 to go
1086/18.25 = 59.51
So the percussion club needs to sell at lest 60 more tubs of popcorn to reach their target.
PLEASE HELP!! I just need help with b-d!
Answer:
b) The slope of line is 20
c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
d) i) she would have travelled 1480 m after 74 s
ii) It will take 125 s to travel 2.5 km
Step-by-step explanation:
Part b: Slope of Line
Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we can take any two points and find the slope.
Looking at the graph, the time is x-axis and distance is y-axis
Let we take (0,0) and (8,160)
So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]
Now finding Slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]
So, the slope of line is 20
Part c) Find the equation in slope-intercept form
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
We have found slope, m = 20
We need to find y-intercept.
y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:
So, when x =0, y=0
So, y-intercept = 0
The equation will be:
[tex]y=mx+b\\y=20x+0\\y=20x[/tex]
The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
Part d)
Part i) How far will she have travelled after 74 s
We are given time (x) = 74 s
We need to find distance i.e. y:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Put x = 74
[tex]y=20x\\y=20(74)\\y=1480[/tex]
So, she would have travelled 1480 m after 74 s
Part ii) How long will it take to travel 2.5 km
We are given distance (y) = 2.5 km
We need to find time i.e. x:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Since distance is given in meters but here it is in km
So converting 2.5 km into m
We know that 1 km = 1000m
So, 2.5 km = 2500 m
Now finding time:
[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]
So, It will take 125 s to travel 2.5 km
Please help me with this quadratic equation question! I always give out 5 stars, thanks and brainliest to people that help me with a good explanation.
Find the values of p and q given that 12x² - 13x - 7175 = (x-p) (qx + 287)
Answer:
[tex]p=25,\\q=12[/tex]
Step-by-step explanation:
In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].
Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:
[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].
Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:
[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].
Arisia puts $500 into a savings account with an annual simple interest rate of 4.5%. If the savings account pays 5% simple interest, how much interest will Arisia earn on her $500 principal over 20 years?
Answer:
$500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 500 × 0.05 × 20 = 500
I = $ 500.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 5% per year
for 20 years is $ 500.00.
Measure of angle CXF
Hardest hw question on the Homework can you solve it?
the ratio of the heights of two similar pyramids is 2:5 in the volume of the smaller pyramid is 100 cubic feet, find the volume of the large pyramid
Volume is a cubic measurement.
Set up a ratio of volume to the ratio of the height:
100/v2 = 2^3/5^3
V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet
The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.
Volume of pyramid based problem:What information do we have?
Ratio of heights of two similar pyramids = 2:5
Volume of smaller pyramid = 100 cubic feet
Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³
100 / Volume of large pyramid = 2³ / 5³
Volume of large pyramid = 125(100) / 8
Volume of large pyramid = 1,562.5 cubic feet
Find out more information about 'Pyramid'.
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What are the solutions of the equation (2x - 21 = 8?
Answer:
Exact Form: x= 29/2 ( the / is _ under 29)
Decimal form: x= 14.5
Mixed form: x= 14 1/2 ( the / is _ under 2)
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
Evaluate HELP PLEASE!!
a)94^-1/2
Answer:
Exact Form:
1
188
Decimal Form:
0.00531914
…
Step-by-step explanation:
:)
1 over 188 BTW
Answer:
94i
Step-by-step explanation:
94^-1/2 is the square root of -94 which is an imaginary number
What is the measure of
Answer:
The measure of Angle B = 82
Step-by-step explanation:
⁕We have to calculate the angle for A.
‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.
⁕You are going to subtract 143 from 180.
[tex]180 - 143 = 37[/tex]
‣So the angle of A is 37. A triangle equals 180 degrees.
⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.
[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]
‣Therefore, angle B equals 82.
help me please..... :))
Which equation shows this formula solved for m?
P=5(m+10) need help asap will give brainest
a. m=[tex]m=\frac{p-5}{10}[/tex]
b.m=[tex]\frac{p}{5}-50[/tex]
c.m=[tex]\frac{p-50}{5}[/tex]
d.m=5p-50
Answer:
viariables
Step-by-step explanation:
A group of friends were working on a student film. They spent $256 on equipment, which was 32% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
I got it correct on delta math.
Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30 degrees or 60 degrees with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.
a) 12 in.
b)2 rad 3 in.
c)8 in.
d)6 rad 3 in.
e)2 rad 2 in.
Answer:
B and D
Step-by-step explanation:
Answer:
The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)
Mrs. Smith bought 6.5 metres of lace. She used 1.3 metre to make a dress. She used the rest to make 4 cushions of the same size. How much lace did she use for each cushion, giving your answer in centimetres?
Mrs. Smith used 130 centimeters of lace for each cushion.
What are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.
Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.
Lace bought by Mrs. smith = 6.5 meters
Since she used lace in the dress = 1.3 meters
remaining lace = 6.5 - 13
remaining lace = 5.2 meters
Since she used the remaining lace to make four cushion
thus, lace required for every cushion = 5.2/4 = 1.3
therefore, she used for each cushion 130 centimeters of lace.
Learn more about mathematical operations here:
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The lights go out, your bedroom is pitch dark, yet you still need to find a pair of socks, in your drawer there is 25 white socks and 25 red socks how many socks do you need to pull out before you get a matching pair?
Answer: At most 3
Step-by-step explanation:
If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.
The first sock you pick would be either White or Red
The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.
The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.
You will therefore have at least a matching pair after 3 tries.
For questions 1 - 8, find f-'(x), the inverse of f(x). 1. f(x)= x + 12 2. f(x)= -2 3. f(x)=2x +12 4. f(x)= 3x -4 5. f(x)= 2x + 3 6 6. f(x)=
Answer:
1) inverse: x - 12
2) inverse: 3x + 6
3) inverse: x/2 - 6
4) inverse: x/3 + 4/3
5) inverse: 3x - 3/2
6) inverse: -3x/2 + 15/2
7) inverse: x/5 - 3
8) inverse: 2x/5 + 1/5
Describe the strength and sign of the relationship you expect for each pair of variables. Explain your reasoning.
Used car price and original sale price of the car.
Used car price and number of cup holders in the car.
Used car price and number of oil changes the car has had.
Used car price and number of miles the car has been driven.
Answer:
i dont get it
Step-by-step explanation:
(x^3+3x^2-x+2)/(x-1)
Answer:
x^2 + 4x + 3 with a remainder of 5
PLEASEEEEEEE HELPPPPPPPPPPPPP
A,paper crane B, 6
Step-by-step explanation:
the inequality sign is less than or squeal the highest number u can get is 6 before going higher than 30
The formula for converting temperatures in degrees Fahrenheit is F = 9/5C +32. If the temperature is 40°C, what is the temperature in degrees Fahrenheit?
1. (–5, 1)
2. (0,0)
3. (0, 1)
4. (0, 3)
5. (1, 4)
6. (3. 5)
7. (5, 5)
8. (6, 8)
GIVING THE BRIANLEIST FOR THE CORRECT ANSWER TO HELP ME WITH MY QUESTIONS!!!
1.
you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe. How much sugar do you need to make this fraction of the recipe?
1/12 Cups
7/12 Cups
3/4 Cups
4/3 Cups
-------------------------------------------------------------------------------------------------------------------
2.
You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?
1/8
1/4
1/2
2/1
------------------------------------------------------------------------------------------------------------------
3.
Your class of 32 students is divided into fourths to create groups to answer a set of questions together. Then, one-fourth of each group has to go to the front of the classroom and read off the group's answers. How many students go up to the classroom for each group?
2
4
6
8
SHOW YOUR WORK PLSSSSS
Answer:
2
Step-by-step explanation:
32 divided by 4 is 8
1/4 of 8= 2
What is 7x-4y+2x+8y in distributive form? I will give brainliest and 100 points. Thank you.
Answer:
4(2 1/4x + y)
Step-by-step explanation:
Just factor
In this cae no GCF
So just divide By 4 becuase its easy
If you solve it
You’d get 9x+4y
WHich is the combined term of the expression given
Answer:
4(2 1/4x + y)
Step-by-step explanation:
Just factor
In this cae no GCF
So just divide By 4 becuase its easy
If you solve it
You’d get 9x+4y
WHich is the combined term of the expression given