Answers
Answer:
(32/5, -48/5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 16 = y
2x - 32 = 2y
Step 2: Solve for x
Substitution
Substitute in y: 2x - 32 = 2(-4x + 16)Distribute 2: 2x - 32 = -8x + 32[Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32[Addition Property of Equality] Add 32 on both sides: 10x = 64[Division Property of Equality] Divide 10 on both sides: x = 32/5Step 3: Solve for y
Define original equation: -4x + 16 = ySubstitute in x: -4(32/5) + 16 = yMultiply: -128/5 + 16 = yAdd: -48/5 = yRewrite/Rearrange: y = -48/5Related Questions
What is four fifths mines two thirds sorry for asking
Answers
Answer:
2/15
Step-by-step explanation:
4/5-2/3
what is the slope help pls?
Answers
Answer:
y=7x-6
Step-by-step explanation:
You would first pick two coordinates in this case would be ( 0, -6), (1,1). You would find your slope by using the formula y2-y1/x2-x1. Which would give you a slope of 7/1 which is equal to 7. Then you would use point slope formula which is y-y1=m(x-x1). would would plug in the numbers and it would say
y-(-6)=7(x-0). Then you would simplify the y-(-6) which would be y+6 then you would distribute the 7. Your whole equation would look like y+6=7x+0. Then you would use inverse operations and subtract -6 from the left side of the equals and subtract it from 0 giving you -6. Therefore your whole equation would be y=7x-6. Hoped this helped.
PLSS HELP ASAP!! I WILL GIVE YOU BRAINLYEST!!ONLY ANSWER IF U KNOW HOW TO!!
What is the difference between how you find the surface area of rectangular
prisms and how you find the surface area of triangular prisms? (write in complete sentences)
Answers
b- base h- height w- width
PPLLLLZZZZZ HHHEEELLLLPPPP
Answers
Answer:
11 1/3 sq yards
Step-by-step explanation:
4 1/4 x 2 2/3
change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4
Bill bought a table on sale for $630. This price was 72% of the original price.
What was the original price?
Answers
Answer:
The original price was $875.
Step-by-step explanation:
a = p * w
630 = 72% * w
630 / 0.72 = $875
$875 should be the original price, I hope this helps!
Integrating sums of functions
Answers
Answer:
(a) -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]
[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]
[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]
Step 2: Solve Pt. 1
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = \int\limits^{10}_6 {4f(x)} \, dx + \int\limits^{10}_6 {10} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4\int\limits^{10}_6 {f(x)} \, dx + 10\int\limits^{10}_6 {} \, dx[/tex]Step 3: Redefine
Manipulate the given integral values.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx = \int\limits^6_{10} {f(x)} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx[/tex][Integral] Substitute in integrals: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 5 + 8[/tex][Integral] Add: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 13[/tex][Integral] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^{10}_6 {f(x)} \, dx = 13[/tex][Integral] [Division Property of Equality] Isolate integral: [tex]\displaystyle \int\limits^{10}_6 {f(x)} \, dx = -13[/tex]Step 4: Solve Pt. 2
[Integral] Substitute in integral: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10\int\limits^{10}_6 {} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(x) \bigg| \limits^{10}_6[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(10 - 6)[/tex][Integral] (Parenthesis) Subtract: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(4)[/tex][Integral] Multiply: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -52 + 40[/tex][Integral] Add: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -12[/tex]Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e
how can you get 2 1/2÷5/8
Answers
Answer: 4
Step-by-step explanation:
Change the 2.5 to an improper fraction, then multiply by the reciprocal of 5/8.
[tex]2\frac{1}{2} /\frac{5}{8} =\frac{5}{2}*\frac{8}{5}=\frac{40}{10} =4[/tex]
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Divide: 5/
2
: 5/
8
= 5/
2
· 8/
5
= 5 · 8/
2 · 5
= 40/
10
= 10 · 4/
10 · 1
= 4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/
8
is 8/
5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 10 gives 4/
1
.
In words - five halfs divided by five eighths = four.
If y=4x-5,what is the value of y when x is 7
Answers
Answer:
23
Step-by-step explanation:
y=4x-5
=4(7)-5
=28-5
=23
Y=4x-5
Input x=7
Y=4(7)-5
Multiple 4(7)
28-5
Sub 28-5
FINAL ANWSER IS 23
A godown measures 40 m * 25 m* 10 m. Find the maximum number of wooden crates
each measuring 1.5 m* 1.25 * 0.5
that can be stored in the godown.
Answers
Answer:
n = 10667
Step-by-step explanation:
The measure of a godown = 40 m × 25 m × 10 m
The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m
We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,
[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]
or
n = 10667
Hence, there are approx 10667 wooden crates can be stored.
(5x^4y^7)(6x^2y)= ?I don't know how to do this I need step by step
Answers
Answer:
y7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Group like terms:
(5x⁴y⁷)(6x²y) = 5·6x⁴x²y⁷y
= 30x⁴⁺²y⁷⁺¹
= 30x⁶y⁸
i like boys
the subject is your mom
Answers
Answer:
i like woman
Step-by-step explanation:
the subject is your dad
I need helpppp
Find the value for y when x =2: y= 2x+5
Answers
Answer:
y = 9
Step-by-step explanation:
the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
Answers
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
Learn more about Pythagorean theorem;
https://brainly.com/question/14930619
#SPJ5
How many solutions are shown by the graph of the quadratic function? A zero B one C two D three
Answers
A solution to a quadratic is the same as the root or x intercept (when talking about real numbers). The graph shows that we have exactly one x intercept, which is where the parabola touches the x axis. So we have one root.
I need this answer asap
Answers
Answer:
247
Step-by-step explanation:
A car salesperson makes 25% commission on each car sold. If the salesperson just sold a vehicle for $42,000, how much in commission was made?
Answers
Answer:
$10500
How I Found This Answer:
$42000 ÷ 4 = $10500
Hope This Helps.
rotate 270° counterclockwise
Answers
Answer:
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
Step-by-step explanation:
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
S is sodas and H is hotdogs
You can get two equations from the statement
Total sold of 172= S + H
And S-58=H
Replace the H in the first equation with the second
So
172=S+(S-58)
230=S+S =2S
230/2=S=115
115-58=57=H
And to check 57+115=172 total again
‼️‼️‼️‼️Please Help I really need to submit this by the end of the day and will automatically give branch to first answer‼️‼️‼️‼️‼️
Answers
Answer:
1. 9 = x
2. y = 2
Just copy these steps on paper, then submit.
Writing it yourself will help you, trust me :)
1. 2(x + 5) = 3x + 1
2(x + 5) = 3x + 1
Distribute the 2
2x + 10 = 3x + 1
-1 -1
2x + 9 = 3x
-2x -2x
9 = x
2. 3y - 4 = 6 - 2y
3y - 4 = 6 - 2y
+4 +4
3y = 10 - 2y
+2y +2y
5y = 10
Divide both sides by 5
y = 10/5
y = 2
10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.
Answers
Answer:
D the slope is undefined and the y intercept is -5
Step-by-step explanation:
quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.
7/8 b - 2 b + 4 C where a equals -3 b equals 5 C equals 6
Answers
Answer:
18.375
Step-by-step explanation:
A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6
Answers
8/12 = 2/3
PLZ HELP i jus want answer
Answers
Answer:
B. midpoint
Step-by-step explanation:
UT is located in the middle of UT as the lengths of ST and US are equal
8. Your doctor records your height x (in inches) and your weight y (in
pounds) each time you have a medical exam.
Is this a function?
Answers
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answers
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
How do the villagers investigate the hole?
Answers
Answer:
they get in a hole and they grab the dirt and examine it
Step-by-step explanation:
Answer:the shout and throw a pebble into the hole
Step-by-step explanation:
Use the FOIL method to check your answer from part A.
Answers
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
Triangle One or Triangle Two, which one is a right triangle?
Explain how you know.
Answers
Answer:
The first triangle is because right triangles are tilted on a 90 degree angle
if two angles are supplementary and one angle is 75 degrees what is the measure of the other?
Answers
Answer:
105 degrees
Step-by-step explanation:
supplementary angles equal 180 so 180-75=105
Write the 24 hour clock time which is 17min later than 13:55
Answers
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).