Answer:
If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.
But in solving an equation such as
2(x + 3) = 3(x + 1)
After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.
Step-by-step explanation:
For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.
2 (x + y)
The distributive property enables us to say
2×x + 2×y = 2x + 2y
So, the next step after applying the distributive property is to simplify the equation.
But in solving an equation such as
2(x + 3) = 3(x + 1)
Applying the distributive property
2x + 6 = 3x + 3
We then operate variables, collect like terms on one side
6 - 3 = 3x - 2x
3 = x
x = 3
Hope this Helps!!!
Answer:
-102 + (-25.5)
Step-by-step explanation:
What are two ratios equivalent to 5/12?
Answer:
10/24 15/36
Step-by-step explanation:
you can just multiply each one by the same number
Answer:
5:12, 10:24
Step-by-step explanation:
You can convert fractions into ratios with x/y ⇒x:y
5/12 = 5:12
5/12 x 2 = 10/24
10/24 = 10:24
someone reported my answer -_-
50 POINTS
Amber has 12n + 50 pieces of candy, her brother has 8n - 26 pieces. How many more pieces of candy does Amber have than her brother?
Answer:
i think is 64
Step-by-step explanation:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
I need help on this
Answer:
a = 250 ; b = 10
Step-by-step explanation:
a = 5 × 10² / 2
a = 5 × 100 / 2
a = 500 / 2
a = 250
b = 2 × 10² (10-5) / 10×10
b = 2 × 100 × 5 / 100
b = 1000 / 100
b = 10
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
In the attached file
what the square root of 280
Answer:
2√70
Step-by-step explanation:
√280
Simplify:
Take out 4
2√70
Answer:
16.7332005307
Step-by-step explanation:
Rewrite 280 as 2 ^(2) ⋅ 70 .
Factor 4 out of 280 .
√ 4 ( 70 )
Rewrite 4 as 2^(2) .
√ 2 ^(2 )⋅ 70
Pull terms out from under the radical.
2√ 70
The result can be shown in multiple forms.
Exact Form:
2 √ 70
Decimal Form:
16.73320053....
Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of synimetry is x = 5.
The y-intercept of the function is (0,5).
ОО
The function crosses the x-axis twice.
Answer:
The answer is A, D, and E on Edge
Step-by-step explanation:
idek man but i got it right so
Answer: Option A, D, E
(A) The function in vertex form is f(x) = (x – 4)2 – 11.
(D) The y-intercept of the function is (0, 5).
(E) The function crosses the x-axis twice.
Step-by-step explanation:
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.
A bicycle club logged 9,860 miles. If the
29 members of the club each rode the
same number of miles, how many miles
did each member ride?
Answer:
[tex]340[/tex] miles,
Step-by-step explanation:
To find out how many miles each person rode, divide the total number by how many people there were.
[tex]9860 / 29 = 340[/tex]
Each person rode [tex]340[/tex] miles.
Find the value of X, Z and Y.
Answer:
x = 5; y = 138, z= 42
Step-by-step explanation:
4x- 17 = 3 [ opposite sides of a parallelogram are equal]
4x = 3+ 17 = 20; X= 20/4 = 5
138 + Z = 180( angle on a straight line)
Z is an alternate angles to the remaining angle off 138 forming the straight line.
z= 180-138 = 42 degrees
Y = 138 [ opposite angles of a regular quadilareral been equal]
Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
a
(x2 ‒ 7)(x ‒ 11)
b
(x2 ‒ 7)(x + 11)
c
(x2 ‒ 11)(x + 7)
d
(x2 ‒ 11)(x ‒ 7)
Answer:
A. [tex](x^{2}-7)\cdot (x-11)[/tex]
Step-by-step explanation:
The third order polynomial is factored herein:
[tex]x^{2}\cdot (x-11) - 7\cdot (x-11)[/tex]
[tex](x^{2}-7)\cdot (x-11)[/tex]
Which represents answer A.
The area of a parrellogram is 31.5ft and height is 6.3ft. What is the length of the base
Answer:
Area = base × height
31.5 = base × 6.3
base = 5 ft
Answer:
5 feet
Step-by-step explanation:
The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!
obteber dos números tales que la suma de uno de ellos con el doble del cuadrado del otro sea igual a 7776 , y el producto de ambos sea máximo
Answer: the numbers are 5,111.3 and 35.74
Step-by-step explanation:
I will answer this in English.
We have the numbers X and Y, ad we have that:
X + 2*Y^2 = 7776
X = 7776 - 2*Y^2
Now we also want that the product of X and Y is a maximum.
The equation of maximum product is
P(Y) = X*Y = (7776 - 2*Y^2)*Y
= 7776*Y - 2*Y^3
Now, to find the maximum we must derivate and find the value where P'(Y) is equal to 0
P'(Y) = 7776 - 6*Y^2 = 0
7776 = 6*Y^2
Y = √(7776/6) = 35.74
Now, we replace this value in the equation for X and we can find X:
X = 7776 - 2*Y^2 = X = 7776 - 2*(35.74)^2 = 5,111.3
Someone please help me
Answer:
3/19
Step-by-step explanation:
Answer:
im havijn trouble 2Step-by-step explanation:
idkmsorry
Identify whether each of the following statements is more appropriate as a null hypothesis or an alternative hypothesis. Hypothesis: The number of hours that grade-school children spend doing homework predicts their future success on standardized tests. Hypothesis: King cheetahs on average run the same speed as standard spotted cheetahs. Hypothesis: The mean length of African elephant tusks has changed over the last 100 years. Hypothesis: The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not. Hypothesis: Caffeine intake during pregnancy affects mean birth weight.
Answer:
(1) Alternate Hypothesis.
(2) Null Hypothesis.
(3) Alternate Hypothesis.
(4) Null Hypothesis.
(5) Alternate Hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
(1)
The hypothesis statement is:
"The number of hours that grade-school children spend doing homework predicts their future success on standardized tests."
According to the hypothesis statement, we known that the test to be performed is for the relationship between the number of hours that grade-school children spend doing homework and their future success on standardized tests.
So, the null hypothesis here will be that there is no relation between the two variables, or the number of hours that grade-school children spend doing homework does not predicts their future success on standardized tests.
Thus, the provided statement is a Alternate hypothesis.
(2)
The hypothesis statement is:
"King cheetahs on average run the same speed as standard spotted cheetahs."
According to the hypothesis statement, we known that the test to be performed is for the difference between the mean running speed of king cheetahs and spotted cheetahs.
The statement provided is a statement of no difference, i.e. there is no difference between the mean running speed of king cheetahs and spotted cheetahs.
Thus, the provided statement is a Null hypothesis.
(3)
The hypothesis statement is:
"The mean length of African elephant tusks has changed over the last 100 years."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis here would be there is no change in the mean length of African elephant tusks over the last 100 years.
Thus, the provided statement is a Alternate hypothesis.
(4)
The hypothesis statement is:
"The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not."
According to the hypothesis statement, we known that the test to be performed is for the difference between the proportion of risk of facial clefts for babies born to mothers who take folic acid supplements and with those born to mothers who do not.
The null hypothesis here would be that there is no difference between the two risk proportions.
Thus, the provided statement is a Null hypothesis.
(5)
The hypothesis statement is:
"Caffeine intake during pregnancy affects mean birth weight."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis of this test will be that the mean birth weight is not affected by the caffeine intake during pregnancy.
Thus, the provided statement is a Alternate hypothesis.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer these 2 questions!
Answer:
A. [tex]G(x) = 7x^2[/tex]
D. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
If you were to vertically stretch the quadratic parent function, the correct answer would be "A," because you are stretching upwards, which in turn, also changes the y-values.
As you can see in the table, the x-value of 3 repeats, which cannot occur. Each input (x-value) can go to only one output (y-value). As a result, the table does not represent a function.
Determine the number of real solutions for each system of equations.
Answer:
1+1=2
Step-by-step explanation:
A farmer used fence posts to build a fence for Hazel Horse and Pauly Pony. The farmer used 262626 fence posts to build Hazel Horse's fence and 191919 fence posts to build Pauly Pony's fence.
How many fence posts did the farmer use in all?
Answer:
45
Step-by-step explanation:
19+26 fences equal 45
Determine the volume of sphere with a radius of six inches. What is the volume of the sphere in terms of π?
Answer:
288π inch³
Step-by-step explanation:
V=4
/3πr³
by substituding in formulae
4/3*216π
=288π inch³
hope this helps
plzz mark me brainliest
Which expression is equivalent to 36x2 - 25?
(18x) + (-5)
(18x)? – (5)
(6x)2 + (-5)
(6x)2 – (5)
Answer:
The equivalent expression is: (6x + 5)*(6x - 5)
Step-by-step explanation:
This expression is called the difference of two squares.
It has the following format: [tex]a^{2} - b^{2}[/tex]
It is factored as: [tex]a^{2} - b^{2} = (a-b)*(a+b)[/tex]
In this question:
[tex]a^{2} - b^{2} = 36x^{2} - 25[/tex]
So
[tex]a^{2} = 36x^{2}[/tex], then [tex]a = \sqrt{36x^{2}} = 6x[/tex]
[tex]b^{2} = 25[/tex], then [tex]b = \sqrt{25} = 5[/tex]
So
The equivalent expression is: (6x + 5)*(6x - 5)
Answer: (6x)^2 − (5)^2
Step-by-step explanation:
edge. 2022 got it right
Exponential form of xyyzzz
Answer:
xy²z³
Step-by-step explanation:
An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.
x is repeated once, so will appear without an exponent
y is repeated twice, so will have an exponent of 2
z is repeated 3 times, so will have an exponent of 3
__
xyyzzz = xy²z³
_____
In plain text, an exponent is indicated with a caret (^).
xy^2z^3
What is the approximate height of the cylinder ? Use 3.14 for pi and if necessary round to the nearest tenth. V= 3.14 ft 3.
Answer:
So the value of h and r are both 1 inch
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of the cylinder = 3.14 ft³
And π = 3.14
Dividingthrough by π
r²h = ft³
So the possible out come of r and h is only one because r² must be equal to one and the product of the two must be equal to one.
So the value of h and r are both 1 inch
Answer:3 ft
Step-by-step explanation:
A scientist wants to find the average weight of fish living in a large pond. So she will use the weights of 25 fish from the pond to find the average weight
Answer:
Use interval estimation to compute the average weight of fish living in a large pond.
Step-by-step explanation:
In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.
The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).
Now according to the law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample ([tex]\bar x[/tex]) approaches the whole population mean (µ).
That is, [tex]\bar x[/tex] → µ as n → ∞.
The scientist uses the weights of 25 fish from the pond to find the average weight.
The sample is large, but not large enough.
So, use interval estimation to compute the average weight of fish living in a large pond.
The interval estimation is the best way to estimate the true value of a parameter. This is because the interval of values computed for the parameter has certain probability of containing the true parameter value.
The (1 - α)% confidence interval for population mean is an interval estimate.
answer this ! please
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
The answer is 3.
Step-by-step explanation:
In oder to find the value of x you have to let f(x) = 29 :
[tex]f(x) = 9x + 2[/tex]
Let f(x) = 29
[tex]9x + 2 = 29[/tex]
Next, you have to solve x by substracting 2 and divide 9 to both sides :
[tex]9x + 2 = 29[/tex]
[tex]9x + 2 - 2 = 29 - 2[/tex]
[tex]9x = 27[/tex]
[tex]9x \div 9 = 27 \div 9[/tex]
[tex]x = 3[/tex]
Answer:
Answer shown below.
Step-by-step explanation:
For 29;
It means f(x)= 9x + 2 =29
Therefore; 9x =29-2=27
9x = 27
X=27/9
x=3
What is The true solution to In 20 +in 5=2in x?
Answer:
x = 10
Step-by-step explanation:
Combining the logarithms, you have ...
ln(20·5) = ln(x²)
100 = x² . . . . . take the antilogs
10 = x . . . . . . . take the positive square root
_____
Alternate solution
ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20
2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)
ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2
ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left
10 = x
_____
These solutions make use of the rules of logarithms ...
ln(ab) = ln(a) +ln(b)
ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b
What’s the correct answer for this?
Answer:
its 7.5
Step-by-step explanation: subscribe when i have channel set
Answer:
D. = 8.1
Step-by-step explanation:
In the attached file
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction
Answer:
[tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]
Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
Answer:
Th answer is C
Step-by-step explanation:
Which of the following are considered income?
Select all that apply.
student loan interest
wages
credit card interest
allowance
Answer:
Wages
Step-by-step explanation:
Answer:
2. Wages
4. Allowance
Step-by-step explanation:
very simple question I wish I saw this earlier so I could help. Can I please get brainliest.
尺蛾翅蛾。(thank you.)
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
In the attached file
An online store furniture sells chairs for $200 each and tables for $500 each.
Answer: what is the question?
Step-by-step explanation: