Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 4y = - 2 → (1)
3x + y = 4 → (2)
Multiplying (2) by 4 and adding the result to (1) will eliminate the y- term
12x + 4y = 16 → (3)
Add (1) and (3) term by term to eliminate y
14x + 0 = 14
14x = 14 ( divide both sides by 14 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
3(1) + y = 4
3 + y = 4 ( subtract 3 from both sides )
y = 1
solution is (1, 1 )
Can someone do 11-12?
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
Answer:
1st: 105/h
2nd: 95/h
Step-by-step explanation:
10A+15B=2475 (1)
A+B=200 |*10 => 10A+10B=2000 (2)
From (1) - (2), we have 5B=475, so B=95
then A+95=200 so A is 105
Consider the following functions. (See attachment)
Find the area of the region.
Answer:
Area: [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Area - Integrals
Area under a curveArea between 2 curvesIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify functions
[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]
[tex]\displaystyle g(x) = x - 9[/tex]
Step 2: Identify Info
Graph the functions - See Attachment
[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function
[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function
Step 3: Find Area Pt. 1
Set up integrals [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract: [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]Step 4: Identify Variables
Identify variables for u-substitution.
u = x - 9
du = dx
Step 5: Find Area Pt. 2
[Integrals] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integrals - Area between 2 curves
Book: College Calculus 10e
Kira tutors history. For each hour that she tutors, she earns 30 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E = 30h
How much does Kira earn if she tutors for 5 hours?
Answer:
E = 30h = 30(5) = 150 dollars
Step-by-step explanation:
....
Is it bad that I immediately thought Light Yagami?
Answer:
Kira earns 30×5:$150if she tutors for 5 hours.
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:A..the diagonal bisect perpendicular one other.Since bisectors divide the diagonals equally in two parts.
.
Answer:
D
Step-by-step explanation:
I'm not smart :)
A bucket holds 243.5 oz of water. The bucket loses 0.5 oz of water per second. In how many seconds will the bucket be 40% full?
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
If you were the number keep 660 times how many times will you likely roll a two or five
Answer:
220
Step-by-step explanation:
a dice has 6 sides
660 divided by 6 = 110
you asked for 2 numbers so
110 times 2 = 220
The exponential function g, represented in the table, can be written as g(x) = a.6".
х
g(x)
0
8
1
10
Complete the equation for g(x).
Answer:
Is this the full question?
Alberto ran at a speed of 3 m/hr. After he ran 6 miles, Omar ran in the same direction with a speed of 4.6 m/hr.
How many hours will it take Omar to catch up to Alberto.
Answer:
1.3 Hours (1 Hour and 18 Minutes)
Step-by-step explanation:
It took Alberto 2 hours because he ran 3 miles an hour and the total distance he ran was 6 miles.
Now, you have to divide 6 (Alberto's distance) by 4.6 (Omar's rate) and you get 1.3043.
Round the answer to get 1.3
Answer: jjijmjn
Step-by-step explanation:
2+2=?
i dont remember this, its too complex for me someone help asap
ahem ahem
2+2=69
it's 4 thanks for the points
Need help on this one plz
Answer:
3 15/18
Step-by-step explanation:
well, 4 5/18 can't take away 8/18 with the fraction itself. so, you take 5 from 8 and get -3. then, take one whole number away and subtract the 18 from 3 (this was the negative 3) and you have the answer. so to conclude it 5 cant take away 8 so its like carrying. you take one whole number that is 18/18 and you subtract the 18 from 3.
"HOT PIZZA" is offering 20% discount on all its pizza
Ali bought a pizza for £5.60 what was the original price
Answer:
Original price was £7.00
Step-by-step explanation:
20% discount means that ali is paying 80% of the full price
.8p = 5.60
Divide both siides by .8
p = 7
Original price was £7.00
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
Which graph shows a dilation?
Answer:
Hello! Mizuki here to answer!
The correct answer would be the first option!
Step-by-step explanation:
Remember, dilation is when a shape gets bigger/smaller.
In this case, the first option would be the only dilation.
Anwer this questions plz
Answer:
2
Step-by-step explanation:
brainliest blz
Answer:I believe the answer is 3 Hope this helps ^w^
Step-by-step explanation:
20/5 is 4 so 4 dollars per tank top and 35/5 is 7 so 7-4=3
The base of a rectangular prism has a base of 15 square cm. The height of the prism is 5 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
eyeyeyeyeyyeyeyeyeeyeyeueueuryryru
The area of a rectangle is 63 square inches. The length is 9 inches. What is the measure of its width? Which equation represents this problem? A = Lw
A) 8x = 6; x = 48 in.
B) 6x = 40; x = 4 in.
C) 48x = 48; x = 1 in.
D) 9x = 63; x = 7 in.
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answer:
A
Step-by-step explanation:
Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)
Answer:
[tex]1.051[/tex]
Step-by-step explanation:
The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]
Substituting given values, we have:
[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]
Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!
Answer:
9. 105
10. 50
11. 55
Step-by-step explanation:
9. 180-75=m<EFB
10. 90-40=m<EGB
11. 75+50+m<FBG=180
make the mathematical expression and simplify.3 times the difference of 17 and 7 is divided by 5
= 3(17-7)/5
=3(10)/5
=30/5
=6
Use the Figure to find the measure of the angle. Explain your Reasoning.
Plz Help
Step-by-step explanation:
look at the picture i have sent
find the solution set of 1/3x-4≤ 2+x
1/3x*3-4*3≤ 2*3+x*3
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
OR
1÷3x-4≤ 2+x
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
Answer:
[-9 ≤ x] or [x ≥ -9]
Step-by-step explanation:
QUESTION :-
Find the solution set of → [tex]\frac{1}{3} x - 4 \leq 2+ x[/tex]
SOLUTION :-
Simplify the L.H.S.[tex]=> \frac{x-12}{3} \leq x + 2[/tex]
Multiply both the sides by 3[tex]=> \frac{x - 12}{3} \times 3 \leq 3(x + 2)[/tex]
[tex]=> x - 12 \leq 3x +6[/tex]
Substract 'x' from both the sides[tex]=> x - 12 - x \leq 3x + 6 -x[/tex]
[tex]=> -12 \leq 2x + 6[/tex]
Substract 6 from both the sides.[tex]=> -12 - 6 \leq 2x + 6 - 6[/tex]
[tex]=> -18 \leq 2x[/tex]
Divide both the sides by 2.[tex]=> \frac{-18}{2} \leq \frac{2x}{2}[/tex]
[tex]=> -9 \leq x[/tex] or [tex]x \geq -9[/tex]
Which statement about 214° is correct?
O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0
Answer:
B.
Step-by-step explanation:
214 degree terminates in the 3rd quadrant.
Sine and cosines are both negative there.
This means that sin(214)<0 and cos(214)<0.
If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.
Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range
Answer:
B
Step-by-step explanation:
B is the answer .
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]
Step-by-step explanation:
The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
A line goes through the points (0, -2) and (5, 18). What is the slope of the line?
Answer:
[tex]\displaystyle m = 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 18)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{18--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{20}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 4[/tex]Work out the size or angle X
Answer:
180-132
Step-by-step explanation:
the entire angle should sum to 180
Answer:
48 °
Step-by-step explanation:
132° + x° = 180° (Linear pair)
∴ x° = 180° - 132°
∴ x° = 48°
Hope this helps :) !!!
Please help! I will give Brainliest!
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Step-by-step explanation:
the only thing youre missing is
radius = diameter / 2
Answer:
78.54 cm squared
Step-by-step explanation:
A=πr^2
Since they only give the diameter, divide the diameter by 2
π*25 = 78.54
Have a good day :)