Step-by-step explanation:
[tex](x + 6)(7x - 1) \\ {7x}^{2} - x + 42x - 6 \\ {7x}^{2} + 41x - 6[/tex]
Answer:
7x^2+41x-6
Step-by-step explanation:
(x + 6)(7x − 1)
FOIL
first x*7x = 7x^2
outer: -1x
inner: 6*7x = 42x
last: -6
Add them together
7x^2 -x+42x -6
Combine like terms
7x^2 +41x -6
Which number is rational , an integer , and a real number ?
ANSWER: The answer is C
Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x. Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x. Do you agree with either of them? Explain ur reasoning. i
Agree with Elena, because 9x - 2x + 4x is equivalent to 11x, after the subtraction only applies to 2x.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x.
And, Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.
Now,
Since, We know that;
⇒ 9x - 2x + 4x
⇒ 7x + 4x
⇒ 11x
Thus, Elena is correct as;
⇒ Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ5
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units.
No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
Answer:
The correct option is;
No, the distance from (0, 0) to (2, √6) is not 3 units
Step-by-step explanation:
The given parameters of the question are as follows;
Circle center (h, k) = (0, 0)
Point on the circle (x, y) = (3, 0)
We are required to verify whether point (2, √6) lie on the circle
We note that the radius of the circle is given by the equation of the circle as follows;
[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]
Distance² = (x - h)² + (y - k)² = r² which gives;
(3 - 0)² + (0 - 0)² = 3²
Hence r² = 3² and r = 3 units
We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;
[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]
Therefore;
(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²
[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]
Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10
Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point (2, √6), does not lie on the circle.
Answer:
d
Step-by-step explanation:
FACTOR
h² + 9hj + 14j²
Answer:
(h+7j)*(h+2j)
Step-by-step explanation:
h^2+7hj+2hj+14j^2
h*(h+7j)+2j*(h+7j)=(h+7j)*(h+2j)
So the right answer is (h+2)(h+7j)
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Stay safe
Elmer purchased a used vehicle that depreciates under a straight line method. The initial value of the car is $9600 and the salvage value is $600. If the car is expected to have a useful life of another 6 years, how much will it depreciate each year?
A. $100.00
B. $1500.00
C. $3600.00
D. $600.00
Answer:
The depreciation each year is option B. $1500.00
Step-by-step explanation:
Initial value of car = $9600
Salvage value = $600
Salvage value is the final value of product after all the depreciation have been applied on the product.
So, total depreciation on the car = [tex]\$9600 - \$600 \Rightarrow \$9000[/tex]
Also, it is given that the depreciation occurs at a straight line method i.e. same depreciation occurs every year.
Depreciation in 6 years = $9000
Depreciation in 1 year =
[tex]\dfrac{\$9000}{6} \Rightarrow \$1500[/tex]
Hence, option B. $1500 is the correct answer for the depreciation every year.
Evelyn can run 5 laps around the track in 11 minutes. If she runs for an hour, how many laps will she run?
Answer:
27 laps
Step-by-step explanation:
So first step is to work out how many times 11 fits into 60
[tex] \frac{60}{11} = 5.4545455[/tex]
Then you would times that by the number of laps which is 5
[tex]5.454545455 \times 5 = 27.27.....[/tex]
So it is 27 laps as .27 of a lap is not a complete lap
The model represents an equation.
What value of x makes the equation true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value. x = -3.8
X = 2.25
x=4.12
x=2
The value of x in the model that makes the equation true is: b. x = 2.25
We can find the value of x that makes the equation true by applying our knowledge of how to model equations.
From the image given:
On your left, we have -x, in three places which can be translated to as: [tex]3 \times -x = -3x[/tex]On the left also, we are given [tex]10 \times 1 = 10[/tex]We can model the left side as:[tex]-3x + 10[/tex]
On your right, we have x in five places which can be translated to as: [tex]5 \times x = 5x[/tex]On the right also, we are given [tex]8 \times -1 = -8[/tex]We can model the left side as:[tex]5x - 8[/tex]
The equation would be:[tex]-3x + 10 = 5x - 8[/tex]
Solve the equation for the value of x. Collect like terms.[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]
Divide both sides by -8[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]
Therefore, the value of x in the model that makes the equation true is: b. x = 2.25
Learn more here:
https://brainly.com/question/16614424
Use a model to divide. 1 ÷ 1/5
Answer: 5
Step-by-step explanation: just incase no one could see it
Calculate the interquartike range (IQR=Q3-Q1) of the following data 17, 18, 18, 19, 20, 21, 21, 23, 25
Answer:
4
Step-by-step explanation:
20 is the median
so before and after 20 is the Q3 and Q1
Q1 is 18
Q3 is 22
22 minus 18
The Interquartile range, IQR of the numbers is 4
The process of calculating the above Interquartile Range, IQR is as follows;
The given numbers in the data set are;
17, 18, 18, 19, 20, 21, 21, 23, 25
The required information;
Calculate the inter quartile range IQR = Q₃ - Q₁
The method;
The numbers in the data set are to be arranged in increasing order from smallest to largest number to give;
17, 18, 18, 19, 20, 21, 21, 23, 25 (The numbers were already arranged)
The values of first quartile, Q₁, and the third quartile, Q₃ are then found as follows;
The first quartile, Q₁ = The (n + 1)/4 th term
The third quartile, Q₃ = The 3·(n + 1)/4 th term
Where;
n = The number count in the data set = 9
Therefore:
Q₁ = The (9 + 1)/4 = The 2.5 th term = 18 + (18 - 18) × 0.5 = 18
Q₃ = The 3 × (9 + 1)/4 th term = 7.5 th term = 21 + (23 - 21) × 0.5 = 22
IQR = Q₃ - Q₁
Therefore;
IQR = 22 - 18 = 4
The Interquartile Range, IQR = 4
The Box and Whiskers plot of the above data created with MS Excel is
Learn more about interquartile range, IQR here:
https://brainly.com/question/16126156
PLEASE PLEASE HELP
A study of parents of kindergarteners included 349 parents who were chosen at random of these parents, 47% said they sent their children to pre-kindergarten
School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Answer: Forty-seven percent is the statistic and 31% is the parameter.
Step-by-step explanation:
Here is the complete question:
A study of parents of kindergarteners included 349 parents who were
chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic.
Forty-seven percent is the parameter and 31% is the statistic.
Forty-seven percent is the statistic and 31% is the parameter.
A parameter is a value which tells one about something about a population. A parameter is the opposite of a statistic. A statistic tells you something about a small part of the population.
Sample size (n) = 349
From the given sample, we are told that 47% parents sent their students to pre-kindergarten and also that the school record shows that 31% parents sent their students to pre-kindergarten which is, p =0.31
So, 47% is the statistic and 31% is the parameter.
Answer:
Forty-seven percent is the statistic and 31% is the parameter.
Step-by-step explanation:
Find the distance between these points.
R(-1, 0), S (8, 6)
√(26)
√(85)
3√(13)
Answer:
3√13
Step-by-step explanation:
Distance = (-1,0) (8,6) =3√13
1: The distance between (-1,0) (8,6) is= √8-(-1))2+(6-0)2 = 3√13
Answer: 3√13
Hope this helps.
I think the answer is D, am I correct?
Answer:
It is D
Step-by-step explanation:
Answer:
The answer is D or cubic binomial.
Step-by-step explanation:
Stay safe and mark brainliest! (even though you did all the work and got it right:);))
in the following triangle theta=60.Find the values of the angles of the angles B and B'
lengths of sides are 15.4 on the first two and 16 on the third side
Answer:
∠B` = 109.73°, ∠B = 70.27°
Step-by-step explanation:
∠B + ∠B` = 180°
The Sine Law:
10 / sin B` = 9.2 / sin 60°
10 / sin B` = 9.2 / √3/2
sin B` = 0.94133
B` = sin^(-1) 0.94133
∠B` = 109.73°, ∠B = 70.27°
What angle has the same sine value between 0-180? as Sin 24
A Sine 156
B Sine 123
C Sine 145
D Sine 154
Answer:
[tex]Sin156[/tex]
Step-by-step explanation:
Given
[tex]Sin24[/tex]
Required
Find equivalent between 0 to 180;
Let 24 be represented by [tex]\theta[/tex]
So, [tex]\theta = 24[/tex]
From Trigonometry ratios;
[tex]Sin\theta = Sin(180 - \theta)[/tex] where [tex]0\leq \theta \leq 180[/tex]
Recall that [tex]\theta = 24[/tex]
So, we have to substitute 24 for [tex]\theta[/tex] in the above expression.
This gives
[tex]Sin24= Sin(180 - 24)[/tex]
Subtract 24 from 180
[tex]Sin24= Sin156[/tex]
Hence, the equivalent of [tex]Sin24[/tex] is [tex]Sin156[/tex]
10 points! How could you correctly rewrite the equation 4(5 + 3) = 2(22 – 6) using the distributive property?
A]20 + 18 = 44 – 6
B] 20 + 3 = 44 - 6
C]12 + 20 = - 12 + 44
D]20 + 12 = 44 – 12
Answer:
Option D
Step-by-step explanation:
[tex]4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}[/tex]
4(7x-1)=3(2x+1)-4(x+6) plzz help
Answer:
[tex]x=-\dfrac{17}{26}[/tex]
Step-by-step explanation:
[tex]4(7x-1)=3(2x+1)-4(x+6)[/tex]
Expand parentheses:
[tex]28x-4=6x+3-4x-24[/tex]
Combine like terms:
[tex]28x-4=2x-21[/tex]
Subtract 2x from both sides:
[tex]26x-4=-21[/tex]
Add 4 to both sides:
[tex]26x=-17[/tex]
Divide both sides by 26:
[tex]x=-\dfrac{17}{26}[/tex]
Hope this helps!
Answer:
[tex]x = \frac{ - 17}{26} \\ \\ [/tex]
Step-by-step explanation:
[tex]4(7x - 1) = 3(2x + 1) - 4(x + 6) \\ 28x - 4 = 6x + 3 - 4x - 24 \\ 28x - 6x + 4x = 4 + 3 - 24 \\ 26x = - 17\\ \frac{26x}{26} = \frac{ - 17}{26} \\ x = \frac{ - 17}{26} \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
On Orbitz, you found a flight for $345.00 to Miami. Whoooo! As you are about to check it out, Orbitz offers you a promotion. “ Get 20% off“ What is the discount that you will be saving, if tickets are needed for you, one of your parents, and two friends?
Answer:
$276
Step-by-step explanation:
345*4 = 1380
1380*.2 = 276
x^4 + y^4
How do you factor this? I have to factor it using x+y and xy.
Answer:
I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)
ps. check if you have the question correct
A circle is centered at O(0,0)O(0,0)O, left parenthesis, 0, comma, 0, right parenthesis and has a radius of \sqrt{29}
29
square root of, 29, end square root.
Where does the point T(5,-2)T(5,−2)T, left parenthesis, 5, comma, minus, 2, right parenthesis lie?
Answer:
Point T is on the circle
Step-by-step explanation:
To check where the point lies, we need to find its distance to the center of the circle.
The distance between two points (x1, y1) and (x2, y2) is given by:
[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
If the first point is O(0,0) and the second is T(5, -2), we have:
[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]
[tex]distance = \sqrt{29}[/tex]
The distance between the points is equal the radius of the circle, that means the point T is on the circle.
Answer:
inside the circle
Step-by-step explanation:
Khan Academe
Pls answer ASAP ....
Answer:
P=10/36=5/18
Step-by-step explanation:
if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10
S (sample space)=36 because there are 2 dices.
soP=E/S=10/36=5/18
one over four times x is equal to -2. What is x?
Answer:
x = -8
Step-by-step explanation:
Step 1: Write the equation
1/4x = -2
Step 2: Divide both sides by 1/4
You should get -8 as your final answer.
Answer:
x = -8
Step-by-step explanation:
1/4 x = -2
Multiply each side by 4
1/4 x * 4 = -2*4
x = -8
A scientist is filling beakers of water for an experiment. He begins with 3 liters of water in a large container and each beaker holds 2/5 of a liter of water. How many beakers can the scientist fill? *
Answer
7 beakers
Step-by-step explanation:
going by filling the beakers it goes 2/5 4/5 7/5 (1 2/5) 1 4/5 2 1/5 2 3/5 3 beakers. Count that and it equals 7 beakers using 3 liters of water.
In June, Meg runs a race 10 seconds faster than she did in April. Let y represent her finishing time for the race in April. Which expression represents her faster time in June?
y - 10
y + 10
10 - y
Answer:
y+10
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Y-10 bc she ran 10 seconds faster
Find two mixed numbers or fractions with a quotient of 3.2
Answer:
[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]
These all thave the same quotient of 3.2
Step-by-step explanation:
The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.
To find 2 mixed number or fraction with a quotient 3.2.
We can write 3.2 in the fractional form:
[tex]3.2 = \frac{32}{10}[/tex]
Now multiply both the numerator and denominator with 2, we get
[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]
which also has the quotient 3.2
Similarly, multiply both numerator and denominator of 32/10 by 3, we get
[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]
whici also has the quotient of 3.2
Similarly we can go on to find as many values as we want with the same quotient.
A principal of $3800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 12 years?
Answer: $10,114.41
Step-by-step explanation:
A = P(1 + r/n)^nt
Suppose the theater decides to have a third popcorn size, the super box. They want the super box to have a length of 6.5 inches, a width of 6.5 inches, and a height of 11 inches. Which of the three boxes should cost the most? Explain your reasoning.
Answer:
(if their are no measurements for the smaller boxes) the biggest should cost the most
Step-by-step explanation:
it should hold the most popcorn and their for cost the moast
What property was applied to solve the equation below?
0.36x=-1.8
0.36(+0.36)x=-1.8(+0.36)
X=-5
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Which represents where f(x) = g(x)?
f(2) = 9(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
of(2) = g(4) and f(1) = g(1)
Answer:g
2
Step-by-step explanation:the is answer is by the multiply the numbers
Write the equation of a line that passes through (1,9) and has a slope of -3, please!
Answer:
y = -3x + 12
Step-by-step explanation:
Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (1, 9) and Gradient (m): -3
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (9) = -3(x-1)
This becomes:
y -9 = -3x +3
Keep solving by moving the 10 over to the other side:
y = -3x + 3 +9
y = -3x + 12
An easy way to double check:
1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.
2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
how many solutions does 6x + 3 = 6x + 3 have ?
Answer:
Infinite
Step-by-step explanation:
6x+3=6x+3
6x=6x
x=x
Infinite
The number of solutions should be infinite.
Calculation of the number of solutionsSince the equation is
6x + 3 = 6x + 3
So here,
6x+3=6x+3
6x=6x
x=x
So based on the above calculations, we can conclude that The number of solutions should be infinite.
Learn more about equation here: https://brainly.com/question/15844891
