The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
The correct answer option is option a
How to find equivalent expression?Equivalent expression are expressions which when solved, the results are equal to the old expression.
-12(8a − 7b) + 8(4x + 3y)
Using PEMDAS
P = parenthesisE = ExponentialM = MultiplicationD = DivisionA = AdditionS = Subtraction- 12(8a − 7b) + 8(4x + 3y)
open parenthesis- 96a + 84b + 32x + 24y
Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
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Evaluate b(x)=18-0.5x
b(-2)=
b(0)=
b(5)=
Answer:
b(-2)=19
b(0)=18
b(5)=15.5
Step-by-step explanation:
You substitute all x values with the number stated in each question.
Example= b(-2) --> 18-0.5(-2)
Complete the following proof that states “The acute angles of a right triangle are complementary”
Given: △ABC and m
Prove:
The final statement that proves that “The acute angles of a right triangle are complementary” is when the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 35 degrees and 55 degrees are complementary angles.
What is the complete proof?Statements:
Given Triangle ABC [See attached]Angle C is a right angleAngle C = 90 degrees (This is because every right angle is 90°)A + B + C = 180 degrees (This is because the sum of the measures of the angles of a triangle is 180°)A + B + 90 = 180 (Justification: substitution from 3 above)A + B = 90 (Justification: Subtraction property of equality)A and B are complementary (Justification: Two angles whose sum is 90 degrees are complementary)QED
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Given that f(x)=x2-7 and g(x) = 2x + 9, find (g-f)(-2), if it exists.
By solving using given linear equation f(x)=x2-7 and g(x) = 2x + 9 we get the desired value as ( g - f )(-2) = 32 .
What is linear equation?An equation is deemed to be linear when the maximum power of the variable is consistently 1. It is also known as a one-degree equation. A linear equation with one variable usually has the form Ax + B = 0. In this scenario, the variables x and A are variables, whereas B is a constant.
What are Linear Equations in two Variables?A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1.
For example, 7x + 9y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.
Simplification:
f(x) = x2 - 7
g(x) = 2x + 9
( g - f )(-2) = (2x-7-2x -9)(-2)
= -16 * -2
= 32 .
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Hanna wants to buy fruit snacks to share with four of her friends. how many snacks will each person get if she shares a bag of 120 fruit snacks equally?
Answer:
are u 6 it's 30 fruit snacks
Step-by-step explanation:
120÷4(she has more friends then u lol)=30
Answer this please.
Solve the equation.
–2d = –11.18
A. 22.36
B. –9.18
C. –13.18
D. 5.59
Answer:
d =5.59
Step-by-step explanation:
Solve the equation.
–2d = –11.18
Divide each side by -2
–2d/-2 = –11.18/-2
d =5.59
you have three purple chips and two green chips in a bag. you draw one chip, and then without replacing it, you draw another chip. (a) what is the probability that the second chip drawn is green?
Answer: 8
Step-by-step explanation:
5-1
3 out of 4 = 1/4
s=1/2pl+b solve for l
[tex]s=(\frac{1}{2} p)(l)[/tex]
Flip equation:
[tex]\frac{1}{2} lp=s[/tex]
Divide both sides by p/2:
[tex]\frac{1/2lp}{p/2} =\frac{s}{p/2}[/tex]
[tex]l=\frac{2s}{p}[/tex]
g(n) = 2n
h(n)= n²-4
Find g(-9) + h(-9)
A) 4
C) 20
B) 59
D) 95
Answer:
g(-9)+h(-9)=59
the answer is B
Find the values of p and q if x-1 is a common factor of f(x)=x⁴-px³ +7qx+1, and g(x)=x²-4x² + px² +qx-3,
The values of p and q if x-1 is a common factor of f(x)=x⁴-px³ +7qx+1, and g(x)=x²-4x² + px² +qx-3,are 13/2 and -1/2 respectively.
What is a factor?In Mathematics, factors are positive integers that can divide a number evenly. Suppose we multiply two numbers to get product. The number that is multiplied are the factors of the product. Each number is factor of itself. Factors have many real-life examples, such as arranging sweets in box, arranging numbers in pattern, distributing chocolates among children, etc. To find the factors of number, we need to use the multiplication or division method.
Factors are numbers that can divide a number exactly. Hence, after the division, there is no remainder left. Factors are numbers you multiply together to get the another number. Thus, factor is the divisor of another number.
f(x)=[tex]x^{4}-px^{3}+7qx+1[/tex]
= 1-p+7q+1
= p-7q=2---------1
g(x)= [tex]-3x^{2} +px^{2} +qx-3[/tex]
= -3+p+q-3
=p+q= 6----------2
p-7q=2
p+q=6
-----------------
By subtracting 2 from 1
-8q=4
q=-1/2
putting value of q in equation 2 we get,
p+(-1/2)=6
p=6+[tex]\frac{1}{2}[/tex]
p=13/2
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Evaluate the expression if
m
=
−
4
,
n
=
1
,
p
=
2
,
q
=
−
6
,
r
=
5
,
and
t
=
−
2
.
|
16
+
4
(
3
q
+
p
)
The numeric value of the expression 16 + 4(3q + p) when q = 6 and p = 2 is given by: 96.
How to find the numeric value of a function or of an expression?To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. This also works for multi-variable functions or expressions, as each instance of each variable will be replaced by their attributed values.
For this problem, the expression is given by:
16 + 4(3q + p)
The attributed values are given by:
q = 6, p = 2.
Hence the numeric value of the expression is found as follows:
16 + 4(3 x 6 + 2) = 16 + 4(18 + 2) = 16 + 4 x 20 = 16 + 80 = 96.
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you play a game in which you must pick a real number x, between 0 and 924. at the same time, the number y is uniformly and randomly selected in the same range. if x is greater than y, then you have to pay the square of the difference between the two numbers. if y is greater than or equal to x, you pay double the difference.
Answer: about 2.2 times 8^8
Step-by-step explanation:
Pay the money x=y^2
6(x + 1) - 5(x + 2) simplify
Answer:x - 4
Step-by-step explanation:6x + 6 - 5x - 10 = x-4
A stack of recyclable newspaper 36 inches high will save one tree. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers. How many trees would be saved from a stack of newspapers 24 feet high?
The number of trees that would be saved from a stack of newspapers 24 feet high given the by ratio of trees saved from a stack of recyclable newspaper is 8 trees
How many trees would be saved from a stack of newspapers 24 feet high?Stack of recyclable newspaper that will save one tree = 36 inches highConvert feet to inches
1 feet = 12 inches24 feet = 288 inchesNumber of trees that would be saved from a stack of newspapers that is 24 feet high = xEquate the ratio of Stack of recyclable newspaper needed to save a tree to number of treesQuantity of recyclable newspaper needed : number of trees
36 : 1 = 288 : x
36/1 = 288/x
cross product36 × x = 1 × 288
36x = 288
divide both sides by 36x = 288 / 36
x = 8 trees
In conclusion, the trees that would be saved from a stack of newspapers 24 feet high is 8 trees
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Find the surface area
well, from the picture, the cylinder has a diameter of 12, thus a radius of 6 and a height of 40, so
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=40 \end{cases}\implies SA=2\pi (6)(40+6) \\\\\\ SA=12\pi (46)\implies\implies SA=552\pi[/tex]
two cards are selected without replacement from a standard deck of 52 cards. what is the probability that both cards are the same color (either both black or both red)? round to three decimal places.
The probability of getting both the card with same color is 0.245
Total No. of cards in a deck = 52
The cards having the same color (either black or red ) = 26 out of 52
which is 26/52
The probability of finding a card having the same color without a replacement
P = 26/52 x 25/51
[∵ After taking one card, the total no . of cards will be 51 and the card having the same color is 25]
= 1/2 x 25/51
= 0.5 x 0.49
P = 0.245098
Therefore, the probability that both cards are the same color is 0.245098
We need to round off it to three decimals, Thus
The probability that both cards are the same color is 0.245
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16. If a = 5, b = 4, and c = 7, find the value for 3(b + a) - c.
O 20
O 15
O 34
O 10
estimate using a rate per 100 24% of 289
The estimate of 24% of 289 is 69.36
Estimating percentagesFrom the question, we are to determine the estimate the given rate
The given rate is
24% of 289
This can be expressed as
24% × 289
Now, we will evaluate the percentage
To evaluate the percentage, we will divide the number by 100.
That is,
24% = 24/100
Thus,
The expression can further be expressed as
24/100 × 289
= 0.24 × 289
= 69.36
Hence, the estimate is 69.36
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Please help due tonight.
Answer:
y+1 = 5(x+2)
Step-by-step explanation:
Slope = 5 = (y - -1) /(x - -2)
So 5 = (y+1)/(x+2)
Meaning y+1 = 5(x+2)
The temperature in Anchorage Alaska at 6am was -18 degrees. A scientist recorded the change in temperature over the next 5 hours. the increase and decreases in temperature can be presented as: -3 degrees, +7 degrees, +11 degrees, -5 degrees, +2 degrees. What was the temperature in Anchorage Alaska after 5 hours?
Answer: -6 degrees
Step-by-step explanation: First take -18 then subtract by 3, add 7, add 11, subtract 5, and finally add 2. All of those numbers come from the problem stated.
PLEASE HELP
1. Check whether the following is closure under multiplication : 7×12 = 72
2. The sum of two integers is -38,one of them is -22.Find the other.
3. In a competitive exam, Gopi gets 4 marks for each correct answer and -2 for each wrong answer. If he gives 32 correct answers and 8 wrong answers, what will be his total score?
7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.
1)
Closure property of multiplication:
It states that if two real numbers a and b are multiplied, then the product will be a real number as well.
We have 7 × 12 = 72
7, 12 and 72 all are real numbers.
So, it is a closure property under multiplication.
2)
Sum = - 38
a = - 22
We need to find b
a + b = - 38
- 22 + b = - 38
b = - 38 + 22
b = - 16
3)
1 correct answer = 4 marks
1 incorrect answer = - 2 marks
Number of correct answers = 32
Number of incorrect answers = 8
Total score = 32 × 4 + (- 2) × 8
= 128 - 16
= 112 marks.
Therefore, we get that, 7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.
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HELP HELP HELP PLEASE
What the answer to the question 1+1
Answer: 1+1=21
Step-by-step explanation:
It's just facts >:)
Answer:2
Step-by-step explanation:
Help me I’m so confused I don’t understand how to do this problem…
a) The problem is in the second step, the square root can't be distributed under sum.
b) 10*√41
How to simplify the numeric expression?a) The incorrect step is the second one, the square root can't be distributed like that.
Here we have the numeric expression:
5*√164
And we want to simplify it.
We can write:
5 = √25
Then:
5*√164 = √25*√164 = √(164*25) = √4,010
Now we can decompose this as a product of square numbers:
4,010 = 4*1,025 = 4*25*41
Then we rewrite:
√4,010 = √4*√25*√41 = 2*5*√41 = 10*√41
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What is the amplitude of y = 6 tan(7x) − 2 ?
Answer:
i made the link for the website i used so u can use in in simlar situations
Step-by-step explanation:
Solve for
y
.
y
=
6
√
tan
(
7
x
)
−
2
y
=
−
6
√
tan
(
7
x
)
−
2
its math w a yyyy .com
Kyle played four rounds of golf. His scores were
72, 75, 68, and 84. If he would like an exact mean
of 74 for five rounds, what must he score on the
next round?
71
72
73
74
Answer:
71
Step-by-step explanation:
Mean is Average
You can Find the Mean of a set of numbers by adding them all up and then dividing that number by the amount of numbers in the set.
72 + 75 + 68 + 84 = 231
231 / 4 = 57.75
This is his current mean.
Let's add his next score.
72 + 75 + 68 + 84 + 71 = 370
Divide by 5 instead of 4 because we added another number to the data set.
370 / 5 = 74
Name three different angles in the diagram.
<HMN, <HMK, <KMN
using the graph
HELPPP PLLZZZZ
54 ÷ 9 = 6, therefore 54 ÷ 0.9 = 0.6.
True
False
Answer:
False.
Step-by-step explanation:
That answer would be true if, it was 54 ÷ 9 = 6
54 ÷ 0.9 = 60.
Hope this helps!
Answer:
False
Step-by-step explanation:
hope it helps and have a nice day! :)
If someone could help me with these questions would be nice!
( will mark brainliest if correct! )
1. The value of t in the triangle is 50°
2. The value of x in the triangle is 107°
How to illustrate the information?It should be noted that the total sum of the angles that are in a triangle is 180°.
Therefore, the calculation of the angles will be illustrated thus:
1. 2t + 12 + t + 18 = 180°
3t + 30 = 180°
Collect like terms
3t = 180° - 30°
3t = 150°
Divide through by 3
3t/3 = 150° / 3
t = 50°
2. x + 30° + 43° = 180°
x + 73° = 180°
Collect like terms
x = 180° - 73°
x = 107°
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Which numbers are in order form least to greatest?
Answer:
B
Step-by-step explanation:
Find the sum of the AP: 2,7,12 to 10 terms.
Answer:
Clearly, the given sequence is an AP with first term a=2, common difference d=5 and n=10.
Now,
s10 = 10/2 (2a + 10-1d)
=5(2x2+9x5)
=245
Step-by-step explanation:
Answer:
S₁₀ = 245
Step-by-step explanation:
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 2 and d = a₂ - a₁ = 7 - 2 = 5 , then
S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ]
= 5(4 + 45)
= 5 × 49
= 245
Simplify
(x + 3)
(x + 3)
Answer:
1. X+3x8=24
2.X+3x5=15
Step-by-step explanation:
Hello! So...
We are given the following to simplify:
[tex]\frac{(x+3)^8}{(x+3)^5}[/tex]
_______________________________
1. Apply the exponent rule ([tex]a^b^+^c=a^b * a^c[/tex]).
[tex](x+3)^8=(x+3)^5(x+3)^3[/tex]
=[tex]\frac{(x+3)^5(x+3)^3}{(x+3)^5}[/tex]
________________
2. Cancel out the common factor, given us our solution: [tex](x+3)^5[/tex].
________________________________________________________
Hope this helps! If so, please lmk! Thanks and good luck!