Answer:
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
Step-by-step explanation:
Step 1: Write out equation
3x = (2x - 2)(m + 5)
Step 2: FOIL
3x = 2xm + 10x - 2m - 10
Step 3: Subtract 2xm on both sides
3x - 2xm = 10x - 2m - 10
Step 4: Subtract 10x on both sides
3x - 2xm - 10x = -2m - 10
Step 5: Factor out x
x(3 - 2m - 10) = -2m - 10
Step 6: Combine like terms in parenthesis
x(-2m - 7) = -2m - 10
Step 7: Divide both sides by -2m - 7
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
What is the solution to the equation 1/4x+2=-5/8-5
Answer: [tex]x=-61/2[/tex]
Simplify both sides of the equation
[tex]1/4x+2=(-5/8+-5)[/tex] (Combine Like Terms)
[tex]1/4x+2=-45/8[/tex]
Subtract 2 from both sides
[tex]1/4x+2-2=-45/8-2\\1/4x=-61/8[/tex]
Multiply both sides by 4
[tex]4*(1/4x)=4*(-61/8)\\x=-61/2[/tex]
Write a difference quotient that best approximates the instantaneous rate of change of g at x=0
Please show how you got your answer
We can define the average rate of change of a function f(x) in an interval [a, b] as:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Particularly, if we want to find an approximation of the rate of change for a particular value x', we can choose:
a < x' < b
Such that a and b are really close to x'.
Then if we want to find the instantaneous rate of change of g at x = 0, we need to find values of a and b really close to zero.
Looking at the table, we can choose:
a = -0.001
b = 0.001
(are the two closer ones to zero)
Then the rate of change can be written as:
[tex]f(x) = \frac{g(0.001) - g(-0.001)}{0.001 - (-0.001)} = \frac{2.001 - 1.999}{0.002} = 1[/tex]
From that, we can conclude that a good approximation of the instantaneous rate of change is 1.
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Find the product: -1(-28)=
Answer:
the answer is 28
What is is the answer of 2/4+3/8=
Answer:
7/8
Step-by-step explanation:
2/4+3/8= 4/8+3/8=7/8
Mrs. Dizeu had a summer job that pays $15.00 an hour and she worked between 10 and 40 hours every week. Her weekly salary can be modeled by the equation: S = 15h, where S is her weekly salary and h is the number of hours she worked in a week. Describe the domain and range for this problem using interval notation.
Answer:
do 15x 40 and the 15x10
Step-by-step explanation:
What is p(x)? Thank you!
Answer : p(x) equals 1 :)
What is the slope of the line represented by the equation y= 4/5x-3
Answer:
m=
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of a line is the co efficient of x in the given line.
[tex]y = \frac{4}{5} x - 3 \\ y = mx + b[/tex]
How should a random heterogeneous material be sampled in order to construct a representative sample?
Answer:
Explained below.
Step-by-step explanation:
Heterogeneous denotes to a form with different components or features, give the impression as uneven or varied.
A heterogeneous population or sample is the one where each and every individual has a diverse value for the distinctive characteristic one is interested in.
To select a representative sample from the random heterogeneous material one should divide the material into segments and then use random number, either by the random number table or by the random number generator, to select random segments of the material.
I will give the brainiest
Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42.
What is the price of one movie ticket without the coupon?
$5
$11
$9
$7
which of the following decimal numbers are greater 2.1 or 2.0113
Answer:
2.1 is greater
Step-by-step explanation: 2.0113 cannot be rounded up since the last number is 3 if it was above 5 or greater it could have been rounded but would have only affected the second number.
Using the slope-intercept form to graph the equation y=-8/9 times + 4
so
y=-8/9x+4
Your y intercept is 4
For every 9 units you go (to the right) along the x axis, you go 8 units down on the y axis.
Rewrite 1/2 book 3/4 hour as a unit rate
Answer:
2/3 book/hour
Step-by-step explanation:
1/2 multiplied by 4/3= 2/3
You want to buy 4 CDs for $15.99 each. Estimate the total cost. about $64 about $57 about $60 about $68
Answer:
about $64
Step-by-step explanation:
4 x $15.99 = $63.96
round $63.96 to get $64
HELP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 34 of the pizza. On Sunday morning he ate 16 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*
Answer:
34+16=50% of the pizza so on Sundays night he ate the other 50%
:)
7n-5n=6 how do we solve this!
Be quick please also I need to show work
Step-by-step explanation:
7n-5n=6
2n=6
n=6/2
n=3
43,678 to the nearest ten
Answer:
43,680
Step-by-step explanation:
4 in below let him go
5 and above bump him up
8>5 so we bump him up
so 7-> 8
Answer:
43,680
Step-by-step explanation
Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 78 rounded to the nearest 10 is 80.
3. Approximate square root v15
Answer:
4Step-by-step explanation:
[tex]\sqrt{15}\\=3.87298\dots \\\\= 4[/tex]
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
I think the answer is A.
please help me. if right I will give brainlist, thanks, and 5 stars
Point and line are coplanar.
Answer:
If they are in the same plane
Step-by-step explanation:
solve for x
4 - 2(x - 3) = 24
Answer:
-7
Step-by-step explanation:
4-2x+6=24
10-2x=24
-2x=24-10
-2x=14
X=-7
The solution to the equation is x = -7.
To solve the equation 4 - 2(x - 3) = 24 for the variable x, you can follow these steps:
Step 1: Simplify the expression on the left side by applying the distributive property:
4 - 2x + 6 = 24
Simplifying further:
10 - 2x = 24
Step 2: Move the constant term to the right side by subtracting 10 from both sides:
10 - 10 - 2x = 24 - 10
-2x = 14
Step 3: Divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 14 / -2
x = -7
Therefore, the solution to the equation is x = -7.
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On a trip to the grocery store, Zach purchased 7 pounds of fruits and vegetables. How many
kilograms is 7 pounds? Round your answer to the nearest hundredth of a kilogram.
Answer:
3.18 kg
Step-by-step explanation:
It is given that, Zach purchased 7 pounds of fruits and vegetables.
We know that,
1 kg = 2.20462 pounds
It means that, 1 pound = 0.453592 kg
We need to find how kilograms is 7 pounds. So multiply 7 by 0.453592 to convert into kg.
So,
7 pound = 3.17515 kg
or
7 pounds = 3.18 kg
So, the weight of fruits and vegetables is 3.18 kg.
reggie pays 982.27 each month to rent an apartment. how much will it cost him to rent the apartment for two years
Answer:
982.27 = 1 month
12 months in one year
1 month x 12 is 12 months
982.27 x 12 = 11787.24
11787.24 x 2 = 23574.48
So, it is $23574.48
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Please help me with this
84 ÷ (17 × 3 - 23) × 4
Answer: 12
Step-by-step explanation:
Solve this absolute value inequality
8 |u-2| -7<33
Answer:
In set-builder notation, the set of solutions is:
[tex]\left \{u|-3<u<7\right\}[/tex]
Step-by-step explanation:
Let's start by isolating the absolute value expression on one side of the inequality:
8 | u - 2 | - 7 < 33
add 7 on both sides:
8 | u - 2 | < 40
divide both sides by 8:
| u - 2 | < 5
Now, in order to remove the absolute value symbols, we need to consider two different cases:
1) what is inside the absolute value symbols is larger than or equal to zero, so in such case when we remove the absolute value we get exactly what was inside:
u - 2 < 5
u < 5 + 2
u < 7
Now the other case;
2) what is inside the absolute value is smaller than zero, then when removing the symbols we get:
2 - u < 5
2 - 5 < u
-3 < u
Then the set of solutions of this inequality are the set of u values such that u is larger than -3 (to the right of -3 on the number line, and smaller than 7 (to the left of the number 7 on the number line.
In graph form this should look like a highlighted segment on the number line that starts at -3 on the left, ends at 7 on the right, and doesn't include the endpoints -3 and 7.
in set builder notation, the set of solutions is given by:
[tex]\left \{u|-3<u<7\right\}[/tex]
Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
1. 90
2. AEC
3. angle addition postulate
:)
Answer:
answers
Step-by-step explanation:
there are twelve bottles in each box of bottled water. Write an equation representing the total number of bottles you get if you buy x boexes. use y to represent the total number of of bottles
Answer:
what does y and x represent no one can answer unless they have x and y
Step-by-step explanation:
Answer:
y=12x
Step-by-step explanation:
Since there are 12 bottles in each box, the total number is the number of boxes multiplied by 12.
For example, buying 1 box will give you 12 bottles (1x12) and buying 2 boxes would give you 24 (2x24).
Therefore the equation of the total number of bottles if you buy x boxes is:
y=12x
Hope this helped!
Smita is experimenting with how a paper airplane's shape affects the distance it will fly. Which action is the result of her logical reasoning? A. She follows her procedure carefully. B. She decides to use the same type of paper for each airplane. C. She decides to perform the experiment outside on a windy day. D. She records only the data that support her favorite hypothesis.
Answer:
She decides to use the same type of paper for each airplane
Step-by-step explanation:
Answer:
b just did it
Step-by-step explanation:
What are factors in the expression 4x(3x^2+5y)
Answer:
12x^3 +20xy
Step-by-step explanation:
Hope this Helped!!!!!!!!!!!!
Answer:
Technically it is 12x^3 + 20xy but the answer choice is 12 and 20.
Step-by-step explanation:
For the work, you need to distribute 4x to each term in the ( ).