Answer:
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringCalculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]
Step 2: Simplify
[Frac - Numerator] Factor quadratic: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}[/tex][Frac - Denominator] Factor GCF: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}[/tex][Frac] Divide/Simplify: [tex]\displaystyle \frac{(7x - 10)}{5}, x \neq -2[/tex]When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]
General Formulas and Concepts:Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra ITerms/Coefficients
Factoring
Calculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)^_^ ❤
what is 11^0 x 5x - 789
X=6
Answer:
-759
Step-by-step explanation:
Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.
The figure to the right has its Congruent segments marked. AB=__ meters
9514 1404 393
Answer:
20 meters
Step-by-step explanation:
The single hash mark on AB matches the single hash mark on AC, so AB = AC. AC is marked as 20 meters, so AB is 20 meters.
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
[tex](\frac{1}{4} m^{2} n)^{3} * (-32m^{2}n)[/tex]
PLEASE PROVIDE AN EXPLANATION, I'M UNSURE OF HOW TO FIND THE ANSWER
Answer:
[tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]
Step-by-step explanation:
[tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]
Please Help 39 points Math
Step-by-step explanation:
f(n) = 3(2)^n = 3 * 2^n.
We can see here that 3 is a constant term.
When n = 0, f(0) = 3 * 2^0 = 3.
Hence, on the 1st day 3 leaves fell. (A)
When n = 1, f(1) = 3 * 2^1 = 6.
When n = 2, f(2) = 3 * 2^2 = 12.
Notice that the number of leaves that fell keep doubling.
Therefore the number of leaves that fell on a given day is 2 times the number of leaves that fell on the previous day. (D)
Guys I need someone to solve this problem please it’s for test I’m stuck.
Answer:
[tex]2x + 18 = 15x + 33 - 8x \\ 2x + 18 = 7x + 33 \\ 2x - 7x = 33 - 18 \\ - 5x = 15 \\ x = - 3[/tex]
Simplify -4(2c+3) pleaseeeee
Answer:
-8c -12 =0
-8c = 12
c = - 12/8 = -3/2
Find the slope of the line that passes through (4, 1) and (10, 6).
Answer:
5/6
Step-by-step explanation:
The equation for slope is
(difference in y) / (difference in x)
So:
6-1/10-4
5/6
So the slope is 5/6
13
y у
3
Х
4
What is y?
Question If Jim has 60 spoons and Jim has a friend named Jim that has 157 and has another friend named Jim with 537 spoons and pooled all their spoons together and Jim 1 took the spoons to a blacksmith to make small spoons by breaking the spoons to thirds and 27 spoons broke, Jim 1 had the blacksmith make a normal spoon from the remains which makes 3 normal spoons how many spoons do all the Jims have together and how many spoons do each Jim have individvally? I just thought of this on the spot so i dont know the answer anywho I need an answer cause i wanted to ask this to my friends and say the answer to seem smart lol
Step-by-step explanation:
Jim 1= 60 spoons
Jim 2= 157 spoons
Jim 3= 537 spoons
after Jim 1 took the spoons to the blacksmith he broke 27 spoons which means
Jim 1= 60-27 which leaves him with 33 spoons.
and now
Jim 1= 33 spoons
Jim 2= 157 spoons
Jim 3= 537 spoons
3 normal spoons outta 33 spoons which means he used 11 spoons per each spoon
and now
Jim 1= 3 spoons
Jim 2= 157 spoons
Jim 3= 537 spoons
so finally, all the Jims have 697 spoons in total.
a bit tuff...lol
have a great day mr/mrs. Jim creator :)
The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points
Answer:
68
Step-by-step explanation:
Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.
While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?
Answer:
$88.9
Step-by-step explanation:
First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:
Total cost=(29*2)+(16*3)+21
Total cost=58+48+21
Total cost=127
Now, you have to calculate 30% of that total and subtract that amount from the total cost:
127*30%=$38.1
127-38.1=$88.9
According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.
Use the distributive property to write an equivalent expression for 21x - 14.
Answer:
7(3x−2)
Step-by-step explanation:
Remember to not round.
Answer:
Plsss question is not clear!!!!!
Answer:
1.65 km or 33/20 km per minute, 16.5 km or 33/2 km ( for the second question)
Step-by-step explanation:
There's 60 minutes in an hour, so just divide 99 by 60, then you'll get either 1.65 or 99/60 which is simplified to 33/20. And for the second question, multiply the answer from the first question by 10.
Cathy is making bows from a ribbon that is 11 1/5 yards long. She needs to cut the ribbon into equal pieces that measure 2/5 yard to make each bow. How many bows can Cathy make? Sam solved the problem below but got it incorrect. Explain Sam's error.
Answer:
28 bows
Step-by-step explanation:
Each bow is an equal piece.
1 bow = 2/5 yard
Total yard of ribbon = 11 1/5 yards
Hence:
2/5 yard = 1 bow
11 1/5 yards = x
2/5x = 11 1/5
x = 11 1/5 ÷ 2/5
x = 56/5 ÷ 2/5
x = 56/5 × 5/2
x = 28 bows
Therefore, Cathy can make 28 bows
If x=−1and y=−3, then 5(x2−7+y)=
Answer:
-60
Step-by-step explanation:
(plug in x= -1 and y= -3)
your equation will look like this-
5 ((-1)2-7+(-3))
solve using PEMDAS
heeeeeeeeeeelp pleaseeeeeeeeeeee
Answer
<2 = <4 = <6 = <8
All of those are 94 degrees
<1 = <3 = <5 + <7
All of those are 86 degrees
Hope this helps :D
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
Please help me ASAP!!!
Answer:
-2 and 0
Step-by-step explanation:
Check on the graph when the y = 0
A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24
Answer:
I think it's maybe 11:55
Answer:
11:13
Step-by-step explanation:
Just simplify 55:65, by dividing by 5
Pls help it due ASAP
Please show workings also
.....
Answer: A
Step-by-step explanation:
The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]). For a line to be parallel to another, it must have the same slope. The slope of the line given is 2/3. Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex]. Then, because the line passes through -6, 6, plug those values in for x and y, respectively. [tex]6=\frac{2}{3} *-6+b[/tex]
[tex]6=-4+b[/tex]
[tex]10=b[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A
Hope it helps :D
Marlena bought 1 2/3 pounds of French Roast coffee and 3 1/8 pounds of Columbian coffee and paid $31.25. Rowen bought 2 5/12 cups of French Roast coffee and 9/16 pounds of Columbian coffee and paid $15.15. Find the cost per pound of each type of coffee.
Answer:
$4.50 for French Roast
$7.60 for Columbian
Step-by-step explanation:
tried substitution and elimination method but got different answers to I graphed these equations and found the point of intersection
5/3x + 25/8y = 31.25
29/12x + 9/16y = 15.15
point of intersection (4.5, 7.6)
Answer:
Step-by-step explanation:
Thus Markus buy 3.19 pounds of coffee altogether.
A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?
awnser photo quick please #8
pls help me i don't get it and nobody answered
Answer: 1,200
Step-by-step explanation:
lets split it like this first
now lets start with the first one 15*20=300
now the second one 45*10=450
now the third one 35*10=350
now the last one 10*10 i think i caint see the one number=100
now add all them together= 1,200
hope this helped
What time is shown on this clock
Answer: around i believe 10:35
Step-by-step explanation:
Answer:
its 10:20
Step-by-step explanation:
G G 2x+4y=12
Please explain it to me
Answer:
2×4=8 + 4 = 12 y stands firm you do the y part 2 times
14 points help me please
Answer:
B. 0.8 meters
Step-by-step explanation:
Divide 2.4 by 3 and you will get 0.8
1/4 of ... is 1/5
What is the ...
Answer:
4/5
Step-by-step explanation:
Just multiply 1/5 times 4, because that's the reciprocal of 1/4
Haley sells apples from her apple orchard. Last week, she sold 516 apples. Of those apples, 107 or green apples and the rest were red apples. On Monday, Harry's sells 100 apples. Based on last week sales, white how many of the 100 apples she sells on Monday could be expecting to be green.
Answer: About 21 apples
Step-by-step explanation:
Number of apples sold last week = 516
Number of green apples = 107
Number of red apples = 516 - 107 = 409
Number of apples sold on Monday = 100
Number of apples expected to be green will be:
= 107/516 × 100
= 20.7
= 21 Approximately