Answer:
3173
Step-by-step explanation:
13.50*2012=27,162-190=26,972/8.50=3173
what is f(x)=5x-12 what is f(2)?
Answer:
f(2) = -2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 5x - 12
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = 5(2) - 12Multiply: f(2) = 10 - 12Subtract: f(2) = -2Answer:
f ( 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 5x - 12 Function
Step 2:
f ( 2 ) = 5 ( 2 ) - 12 Input x
Step 3:
f ( 2 ) = 10 - 12 Multiply
Answer:
f ( 2 ) = - 2
Hope This Helps :)
Translate this sentence into an equation.
51 is the sum of 17 and Chrissy's height.
Use the variable c to represent Chrissy's height.
Answer:
c + 17 = 51
Step-by-step explanation:
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answer:
13
Step-by-step explanation:
First find the population of city c 1,070,000 times 2 = 2140000
Round 2140000 to the nearest hundred thousands = 2,100,000
Third find how many places the decimal moves which is 6 places
Fourth scientific notation of 2,100,00 is 2.1 times 10^6
Fifth divided city c by the population of city a
2.1x 10^6 divided by 1.6 x 10^5
2.1 / 1.6 rounded is 1.3
10^6 divided by 10 ^ 5 is 10
Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13
The population of city c is about 13 times the population of city a
Sara has a balance on her credit card of $212.45. She writes a check for $165.45 towards her credit card balance. After she has paid, how much more money will she need to pay to have a zero balance?
ANSWER: 47 .....................................................................................................................................................................................
2 (x - 2/3) = 0
solve for x
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3
r
–4=-3+
+
10
Answer?
Answer:
r = 11
Step-by-step explanation:
Is the question
r - 4 = - 3 + 10
So what's r
r - 4 = -3 + 10 Combine the right
r - 4 = 7 Add 4 to both sides
r - 4 + 4 = 7 + 4
r = 11
help a girl out due at 11:59 ♀️
Answer:
your answer woulsd be 4/15 or how many times does 4 gois in ta 15
Step-by-step explanation:
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
To know more about cubic equation here
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what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6
Answer:
3.36
Step-by-step explanation:
4.1 +6 +1.3+6.5 +1.6=16.8
16.8/5=3.36
In order to get the answer you add everything up and then divide from the amount of numbers there are.
can u tell which is true or false or not enough info
Answer:
I'm going to list the answers below in the explanation.
Step-by-step explanation:
JL = 36 False
ML = 36 True
MP = 48.5 Not enough info
Angle JLK = 102 True
Angle PNK = 102 False
MP || PK False
The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!
Good luck and I hope this helps.
9514 1404 393
Answer:
F, T, T, T, T, F
Step-by-step explanation:
PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.
a) JL is not 36, it it twice that. (F)
b) ML is the same length as PN, 36. (T)
c) MP is half of LK, so is 97/2 = 48.5. (T)
d) ∠JLK corresponds to ∠JMP, so is congruent. (T)
e) ∠PNK corresponds to ∠JLK, so is congruent. (T)
f) MP intersects PK at point P, so cannot be parallel. (F)
PLEASE PLEASE HELP ILL MARK AS BRANLIEST
Answer:
[tex]x=7[/tex]The length of MN = 13The length of NO = 13The length of OM = 13Step-by-step explanation:
As the given triangle is equilateral as all the sides of the triangle are equal.
[tex]MN = 3x-8[/tex]
[tex]NO=2x-1[/tex]
[tex]OM=5x-22[/tex]
As all the sides are equal, i.e.
[tex]MN=NO=OM[/tex]
as
[tex]MN=NO[/tex]
[tex]3x-8=2x-1[/tex]
Add 8 to both sides
[tex]3x-8+8=2x-1+8[/tex]
[tex]3x=2x+7[/tex]
[tex]x=7[/tex]
Hence, the value of x = 7
so putting the value of x to determine the lengths of the
segments MN, NO, and MO
[tex]MN = 3x - 8[/tex]
[tex]= 3(7)-8[/tex]
[tex]=21-8[/tex]
[tex]=13[/tex]
Hence, the length of MN = 13
[tex]NO = 2x-1[/tex]
[tex]=2(7)-1[/tex]
[tex]=14-1[/tex]
[tex]=13[/tex]
Hence, the length of NO = 13
[tex]OM = 5x-22[/tex]
[tex]= 5(7)-22[/tex]
[tex]= 35-22[/tex]
[tex]=13[/tex]
Hence, the length of OM = 13
Answer the question in the photo
Answer:
B and C
Step-by-step explanation:
Both B and C
B)
2/5 = 0.4 (which terminate as decimals)
Similarly
C)
-1/4 = -0.25 (also terminates)
But A and D do not terminate
As for A) 1/3= 0.33333333..........
and for D) 7/9= 0.777777777......
In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.
Hope you understand. Thank you.
What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18
Answer:
I think the answer is B.23
Adam bought a hat for $12 and three shirts. If each shirt was the
same price and his bill was $54, how much was each shirt?
Answer: $14 each shirt
Step-by-step explanation:
54 - 12 = 42 ÷ 3 = 14
price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
In your own words, describe the steps you take to round a decimal.
Answer:
if its .5 round up if its .4 or lower round down
Step-by-step explanation:
Answer:
Step-by-step explanation:
i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.
PLEASE ANSWER ILL GIVE BRANLIEST
Answer:
angle A is congruent to angle R
Step-by-step explanation:
when it gets rotated counterclockwise around point X that is how the triangles end up matching up
Answer:
The answer is 1. ∠A ≅ ∠R
Step-by-step explaation:
Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.
What is the answer to this pre-algebra equation 7x+10=3x+120
Answer:
=[tex]\frac{55}{2}[/tex]
The value of which number lies between 14 and 15?
Answer: 69 hope this helps!
68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal
Answer:
[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]
Step-by-step explanation:
[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]
Human cells come in a wide variety of shapes and sizes. The
mass of an average human cell is 2 x 10-11. Write this number in
standard form.
Answer:
2
Step-by-step explanation:
write 28 + 24 as a product of two factors using the GCF and the distributive property
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
The product of two factors using the GCF and the distributive property is 4(13).
What is the meaning of the greatest common divisor/factor?
The largest integer of highest degree that is an exact divisor of each of two or more integers.
The greatest common divisor of 24 and 28
24=2×2×2×3
28=2×2×7
We can see that the 2 and 2 is common in 24 and 28
The GCD of 28 and 24 is=2×2= 4
For the distributive property we have
28 = 4 x 7
24 = 4 x 6
we take the 4 out
4 (7 + 6)
=4 x 13
Therefore the GCD is 4 and by distributive property product is 4(13).
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Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
A
Step-by-step explanation:
Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of Bristol board. How many ornaments can they make?
Answer: 10 ornaments
Step-by-step explanation:
From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.
The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:
= 2 1/2 ÷ 1/4
= 5/2 ÷ 1/4
= 5/2 × 4/1
= 10
They can make 10 ornaments
The total bill at a restaurant was $52.50. If you want to tip the waitress 15%, how much tip should you leave?
A. $7.87
B. $7.88
C. $78.70
D. $78.75
Answer:
B
Step-by-step explanation:
52.50*0.15=7.875
7.875 rounded is 7.88
hope this helps :3
if it did pls mark brainliest
Answer:
B)$7.88
Step-by-step explanation:
15% = 0.15
52.50 x 0.15 = 7.875
Round to the nearest hundredth
$7.88
A bakery sold 119 chocolate cupcakes in a day. Which was 35% of the total number of cupcakes sold that day . How many total cupcakes did the bakery sell that day??
Answer:
340
is right
Step-by-step explanation:
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, - 2), (-1,5)
Line 2: (-12, 2), (2,14)
What is an equation of the line that passes through the points (8, -3) and (8,4)?
Answer:
undefined
x = 0
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
(8, -3)
(8, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-(-3)}{8-8}[/tex]Subtract: [tex]m=\frac{4-(-3)}{0}[/tex]Simplify: m = undefinedSolve the following equation by the quadratic formula. x 2 + x - 1 = 0
Answer
x is 1.62 or -0.62
Step-by-step explanation:
Quadratic Formula:
[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]
Given Quadratic Equation:
x² + x - 1 = 0
a = 1 (Quadratic coefficient)
b = 1 (Linear coefficient)
c = -1 (Constant coefficient)
By substituting values in the formula, we get:
[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]
Find the value for x
Can somebody help me?
Please
Answer:
1-7 2-6 3-6 4-4
Step-by-step explanation:
To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.