This is the following way to solve this problem:
3x-10(x+2)=13-7x
3x-10x-20=13-7x (multiply 10 times what's in the parentheses)
-7x-20=13-7x ( subtract 3x from -10x)
-7x-20-13=-7x ( since the 13 is positive, when we move it to the other
side, we change it's sign, so now we subtract 13 from 20
-7x-7=-7x
-7=-7x+7x ( we do the same thing we did above, now with the -7x)
-7=x
x=-7
Answer: x = -7
--- --- --- --- --- --- ---
: )
how to simplify |x + 120| when x < -120
Start with definition of absolute value, |x|.
It says,
|x| = x, for any x >= 0 and
|x| = -x, for any x < 0
Now, instead of x, we have the expression x+120 inside the absolute value brackets:
|x+120|
Play the same game as above - what is the absolute value here?
|x+120| = x+120 for (x+120)>=0 and
|x+120| = -(x+120) for (x+120)<0
Now, recognize that the last condition (x+120)<0 is the same as writing x<-120. That is the condition in the question. Therefore the absolute value |x+120| will equal the second expression (for that condition), namely -(x+120), or -x-120.
To simplify |x + 120| when x is less than -120, you change the sign of the expression inside the absolute value to get the simplified form as -x - 120.
To simplify |x + 120| when x < -120, we need to consider the definition of absolute value. The absolute value of a number is the non-negative value of that number without regard to its sign. Since x is less than -120, x + 120 is a negative number, and to find its absolute value, we change the sign to positive.
Therefore, the simplification of |x + 120| when x < -120 is simply -(x + 120), which equals -x - 120.
Solve the equation by completing the square:
8x^2 +16x=42
x = -7/2 and 3/2
//Hope this helps
PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)
Answer:
Part 1) [tex]a^{b+2}=(x)(a^{2})[/tex]
Part 2) [tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]
Step-by-step explanation:
Part 1) Given that [tex]a^{b}=x[/tex] evaluate the following
[tex]a^{b+2}[/tex]
we know that
[tex]a^{b+2}=(a^{b})(a^{2})[/tex]
Remember that when multiplying two powers that have the same base, you can add the exponents
[tex]a^{b}=x[/tex]
so
substitute
[tex]a^{b+2}=(x)(a^{2})[/tex]
Part 2) Given that [tex]a^{b}=x[/tex] evaluate the following
[tex]2a^{3b}+a^{2b}+a^{b}[/tex]
we know that
[tex]2a^{3b}+a^{2b}+a^{b}=2(a^{b})^{3}+(a^{b})^{2}+a^{b}[/tex]
Remember that
[tex]a^{b}=x[/tex]
so
substitute
[tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]
help plz( If the shell of a bass drum was cut down one side and laid flat, which expression would give the area, A, of the shell with the measurements shown? )
Answer:
Last option: [tex]A=2\pi rh[/tex]
Step-by-step explanation:
If the shell of a bass drum was cut down one side and laid flat, the resulting shape would be a rectangle.
The area of a rectangle can be calculated with the formula:
[tex]A=l*w[/tex]
Where l is the lenght and w is the width.
In this case, the lenght of the rectangle obtained (the lenght of the shell) is the circumference of the drum.
Remember that the circumference of the circle can be calculated with:
[tex]C=2\pi r[/tex]
Where r is the radius of the circle.
Then:
[tex]l=2\pi r[/tex]
The width is the height of the shell:
[tex]w=h[/tex]
Then, substituting into [tex]A=l*w[/tex], you get:
[tex]A=2\pi rh[/tex]
Choose the correct correspondence
O <->
Options
1.D
2.O
3.K
Answer:
O
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Here Angle O is equal to Angle O as they are vertical angles across a vertex.
Answer:
The correct option is 2.
Step-by-step explanation:
From the given figure it is clear that the lines DE║RK, in triangle ODE and triangle OKR,
[tex]\angle DOE=\angle KOR[/tex] (Vertical opposite angles)
[tex]\angle ODE=\angle OKR[/tex] (Alternate interior angles)
[tex]\angle OED=\angle ORK[/tex] (Alternate interior angles)
By using AA property of similarity,
[tex]\triangle DOE\sim \triangle KOR[/tex]
D is correspondence to K, O is correspondence to O, E is correspondence to R.
O ↔ O
Therefore the correct option is 2.
WILL GIVE BRAINLIEST!!!
The number of angles that are alternate exterior angles with angle 5 is equal to 1.
What are parallel lines?In Mathematics, parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?In Mathematics, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both m∠5 and m∠11 are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
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Find the limit of the function by using direct substitution.
limit as x approaches zero of quantity x squared minus one.
ANSWER
[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
EXPLANATION
The given limit is
[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]
To evaluate this limit by direct substitution,
We put x=0 in the function.
This implies that that ,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]
This simplifies to,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex]
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
This means that as x-values approach zero, the function approaches -1.
Answer:
-1
Step-by-step explanation:
For direct substitution, all you have to do is fill in the limit for x and solve... so the limit would be 0 in this case.
x^2-1
0^2-1
-1
Which gives the missing value in 2/5/=x/30
Answer:
x=12!
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{x}{30}[/tex]
cross multiply:
30 x 2 = 60
5 x x = 5x
and you get:
60=5x
x=12
plz give brainliestttt
The -----is the number or numbers that occur most often in a set.
The answer is: mode
Mode can easily be remembered by saying “most” most=mode
I WILL AWARD BRAINLIEST!!! PLEASE HELP!!
1) Rewrite the expression without using absolute value |2x−8| , if x<4
Answer:
8 - 2x
Step-by-step explanation:
|2x -8| , x < 4
Two conditions:
(a) |2x - 8| = (2x - 8) if (2x - 8) ≥ 0
(b) |2x - 8| = -(2x - 8) if (2x - 8) < 0
If x < 4, (2x - 8) <0, so condition (b) applies.
|2x - 8| = -(2x - 8) or
|2x - 8| = 8 - 2x
The equivalent expression is 8 - 2x.
A long distance phone company charges $1.01 for the first 25 minutes of a call, and then 99 cents for each additional minute. A call costs $9.56. How long did it last?
Your answer is 303 minutes in $9.56
(Please help) The histogram shows the times and the amount of people who finished a local marathon. Which choice below is NOT true?
Answer:
As age increases. the number of marathon participants always increases.
Why:
After 35-39, the amount of participants per age group decreases.
The incorrect option among the options is
As age increases the umber of marathon participants always increases
What is a histogram?A histogram is a graphical representation of the distribution of a dataset. It is a type of bar chart that displays the frequency or relative frequency of different categories or ranges of a continuous variable.
Histograms provide a visual summary of the underlying probability distribution of a set of continuous or discrete data.
Th option is incorrect because the number of marathon participants started dropping from age 44
Learn more abut histogram
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Deanna's scores for a computer game are 18, 20, 22, 25, 12, and 20. Lilly's scores are 20, 20, 21, 21, 16, and 16. Who has the higher mean score? By how much?
Answer: Deanna has the higher mean score by .5
Step-by-step explanation: The important piece of information to remember here is that the mean is the average. In order to solve the question, the first thing that you need to do is calculate the average of each of their scores.
Deanna = 18+20+22+25+12+20 = 117
The mean = 117/6 = 19.5
Lilly = 20+20+21+21+16+16 = 114
The mean - 114/6 = 19
input the equation of the given line in slope-intercept form. the line with m=2 and b=-4
Answer:
y = 2x - 4Step-by-step explanation:
The slope-intercept form:
y = mx + b
We have m = 2 and b = -4. Substitute:
y = 2x - 4
I only need help with number 7
a,c,d are all correct
In Mrs. Floyd's kindergarten class, children make handprints in a round clay mold for their parents. The mold has a radius of 2 inches. What is the mold's area? Use 3.14 for .
Answer:
A= 12.56
Step-by-step explanation:
A= 3.14 x r^2
A= 3.14 x 2^2
36÷(6÷3) plz helppppooooop
Answer:
18
Step-by-step explanation:
Divide with by paratheses first. Use PEMDAS method
Answer:
36÷(6÷3) = 18
Step-by-step explanation:
First, you would solve what is in the parentheses.
36÷(6÷3) = 36÷(2) Now, find 36÷2
= 36÷2 = 18
so, 36÷(6÷3) = 18
Line m is parallel to the y-axis, and its slope is _____.
positive
negative
undefined
0
The answer is Undefined
Answer:
undefined
Step-by-step explanation:
The y-axis is a vertical line.
The point [tex](0,y_1)[/tex] and[tex](0,y_2)[/tex] lies on the y-axis.
The slope of this line is
[tex]=\frac{y_2-y_1}{0-0}[/tex]
[tex]=\frac{y_2-y_1}{0}[/tex]
Division by zero is undefined.
All vertical lines have undefined slopes because they are parallel to the y-axis.
Therefore the slope of m is undefined.
Which of the following values have 3 significant figures ? 85.3,36.05,50,121
Answer:
Step-by-step explanation:
The following have 3 significant figures: 85.3, 121.
The following have more or fewer significant figures than 3: 36.05, 50
13.......................
Answer:
The answer is (d) ⇒ [tex]pq^{2}r\sqrt[3]{pr^{2}}[/tex]
Step-by-step explanation:
* To simplify the cube roots:
If its number then the number must be written in the form x³
then we divide the power by 3 to cancel the radical
If its variable we divide its power by 3 to cancel the radical
∵ [tex]\sqrt[3]{p^{4}q^{6}r^{5}}=p^{\frac{4}{3}}q^{\frac{6}{3}}r^{\frac{5}{3}}}[/tex]
∴ [tex]p^{\frac{4}{3}}q^{2}}r^{\frac{5}{3}}=p^{1\frac{1}{3}}q^{2}r^{1\frac{2}{3}}[/tex]
∵ [tex]p^{\frac{1}{3}}=\sqrt[3]{p}[/tex]
∵ [tex]r^{\frac{2}{3}}=\sqrt[3]{r^{2}}[/tex]
∴ [tex]p(p)^{\frac{1}{3}}q^{2}r(r)^{\frac{2}{3}}=p(\sqrt[3]{p})q^{2}r(\sqrt[3]{r^{2}})[/tex]
∴ [tex]prq^{2}\sqrt[3]{pr^{2}}}[/tex]
∴ The answer is (d)
what is 2x squared plus x squared
The answer is 3x²
It’s actually pretty easy. If you have to like terms (in this case, they both have x²) then you just add the number in the front, or the coefficients! If it doesn’t have a number at the front ALWAYS assume it’s one.
2+1=3
2x²+(1)x²=3x²
The value of 2x² plus x² is; 3x².
Addition of polynomialsAccording to the question;
The polynomial to be added are;
2x² and x².Hence;
2x² + x² = 3x².Read more on polynomial addition;
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john is planning to purchase a new car that cost 15500. on average a new car loses 11% of its value to the moment that is driving out of the lot. once john drives his new car off the lot, what will its value be
Answer: $13795
Step-by-step explanation: .89 x 15500
The employer pays an amount to the Social Security Administration equal to the tax paid by the employee. is this true or false
Answer:
False
Step-by-step explanation:
The employer pays an amount to the Social Security Administration that equals the amount paid by the employee to the Social security Administration.Workers pay 6.2% of the earnings up to the cap where as the employers pay a matching amount to result to a combined contribution of 12.3% of earnings.
Carlotta needs 12 1/4 yards of ribbon for a project. She has 5 1/4 yards of ribbon on one spool and 2 1/2 yards on another spool. How much more ribbon does she need?
Answer:
11 1/2 yards more. 5+2 is 7. 1/2 + 1/4 = 3/4. 12 1/4 - 73/4 = 11 1/2
Step-by-step explanation:
An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In addition, the store is offering a $20 mail-in rebate. How much will it cost a customer to purchase this printer, including 5% sales tax on the in-store purchase price?
Answer:
Price of the printer is = $193.20
Step-by-step explanation:
Office supply store purchased an all in one printer wit a regular price = $240
After 15% off price of the printer = $240 - 15% of $240
= [tex]240-\frac{15\times 240}{100}[/tex]
= 240 - 36
= $204
The store is offering $20 mail in rebate so the price of printer after rebate
= $204 - $20
= $184
Now price of the printer including sales tax = 184 + 5% of 184
= 184 + [tex]\frac{5\times 184}{100}[/tex]
= 184 + 9.20
= $193.20
Answer:
284.20
Step-by-step explanation:
THIS IS THE ANSWER I HAD THE SAME QUASTION!!!!!
Which choice shows the students listed in order from who has the least amount of money to who has the greatest amount of money
Step-by-step explanation:
Should be Emily, Morgan, Kali, Rosa
What is the surface area of the regular pyramid given below?
Answer: the answer is 189 units^2
Step-by-step explanation: Apex
The surface area of the given regular pyramid is 140 units^2, calculated using the formula Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
The surface area of a regular pyramid is calculated by adding the area of the base to the total area of the triangular faces.
The formula to calculate this is: Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
Given the dimensions, 10cm is base and 7cm as a slant height, we can calculate that the base area (B) is 100 cm2 and the perimeter (P) is 40 cm.
Plugging these values into the surface area formula, we find that the surface area is 140 cm2 (100 cm2 for the base and 140 cm2 for the triangular faces).
Therefore, the correct answer is B. 140 units2.
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Fourteen students bought their art teacher a new easel for $129 and a set of blank canvases for $46. Sales tax was $10.50. They shared the cost equally. Write an expression to show how you could calculate the amount each student paid
I don’t understand this!!! Can someone please explain it to me? ASAP! Thank you all even if you don’t know how to do it
Answer:
615.6
Step-by-step explanation:
First find the number of cubic feet.
V = B * h
B is a triangle with a right angle on your left and two 6 foot lengths on each leg.
Area = 1/2 b * h
b = 6 feet
h = 6 feet
Area = 1/2 * 6 * 6 = 18 square feet.
The volume = B * h
h = 11.4
B = 18 sq ft
Volume = 18 * 11.4
Volume = 205.2 Cubic Feet.
Each cubic foot costs 3.00 dollars
Cost = volume * cost/cu foot
Cost = 205.2 * 3
Cost = 615.6
For what value is both p^r true and q false
The disjunction p ∨ q is false when both p and q are false and is true otherwise. Upgrade to ... (The truth value of the hypothesis does not matter then.) Converse.