Answer:
(6, -9)
Step-by-step explanation:
Eliminate y (you can do x too, but y is easier for this problem)
To eliminate y we must get 0y
If one is 2y, the other must be -2y to get to 0
Keep the first equation the same
7x + 2y = 24
Multiply all numbers in the second equation by -2 (so y can be -2y)
-8x + -2y = -30
Positive + Negative = Negative
-8x - 2y = -30
Now add/subtract the two equations from each other
7x + 2y = 24
-8x - 2y = -30
-1x + 0y = -6
-1x = -6
Divide both sides by -1 to isolate variable
-1x ÷ -1 = -6 ÷ -1
x = 6
We could simply plug in the x value into one of the equations, but that's substitution - not elimination. Repeat the same steps for x
I will multiply the first equation by 4 to get 28x and the second equation by -7 to get -28x for an answer of 0x
28x + 8y = 96
-28x - 7y = -105
0x + 1y = -9
1y = -9
Divide both sides by 1 to isolate the variable
1y ÷ 1 = -9 ÷ 1
y = -9
What is 71,000,000 converted to scientific notation?
A. 71 x 100,000
B. 7.1 x 100,000
C. 7.1 x 10-7
D. 7.1 x 107
Answer:
7.1 × 10 7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 1010. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer: D) [tex]7.1 \times 10^7[/tex]
Explanation:
Place the decimal point between the first two digits of the given number. Erase everything after the '1'. So we have 7.1
To get back to 71,000,000 we would need to move the decimal point 7 spaces to the right
So that's why [tex]7.1 \times 10^7 = 71,000,000[/tex]
If the exponent was -7, then we would move the decimal point 7 spaces to the left.
3 f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h ( x ) = 2 x 3 + 8 h(x)=2 3 x +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h ( f ( x ) ) h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of x xx. h ( f ( x ) ) = h(f(x))=h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals
Answer:
[tex]h(f(x)) = 18x -22[/tex]
Step-by-step explanation:
Given
f (x) = [tex](3x-5)^3[/tex]
[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]
We are to find the composite function [tex]h(f(x))[/tex]
[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]
To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:
[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]
бу - 2y = 3y+2
i need help
Answer:
6y-2y=3y+2
4y=3y+2
4y-3y=2
1y=2
y=2
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g(x)=-18(1/3)^x+2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, and only function f is negative. D. Both functions are increasing, but function g increases at a faster average rate.
Answer: I think it's D.
Step-by-step explanation:
I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, [tex]-10=a+c[/tex]
Similarly, by satisfying the above table in the f(x)
[tex]f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}[/tex]
[tex]f'(x) > 0[/tex]
So we can say that f(x) is an increasing function.
[tex]g(x)=-18(\frac{1}{3} )^x+2[/tex]
[tex]g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]
[tex]ln\frac{1}{3} < 0[/tex]
So, [tex]g'(x) > 0[/tex]
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) [tex]g'(x) > f'(x)[/tex]
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
To get more about increasing functions visit:
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What are these expressions like in words and numbers please answer if you know simple
what is 3/10 multiplied by 2/3?
Answer:0.2
Step-by-step explanation:
Plz help me out ASAP!!!!!!!
Answer:
Step-by-step explanation:
A: +2
B: +2
C: -25
D: x3
Jake's mom buys pizza for him every time he completes 15 Imagine Math Lessons. Brandon's mom buys cookies for him every time he completes 9 Imagine Math Lessons. How many lessons will they have completed when they earn pizza and cookies at the same time?
Answer:
45 lessons
Step-by-step explanation:
Here, we want to know the number of lessons that both of them would have completed when they earn pizza and cookies at the same time
From the question, we are told that they earn cookies and pizza when they complete 9 and 15 lessons respectively.
So to know the number of lessons completed, we need to find the lowest common multiple of the number of cookies and the numbers of pizza
That will be lowest common multiple of 9 and 15
This is 45
If A= arcsin(-4/5) in Quadrant IV and B=arctan(5/12) in Quadrant III, what is the values of tan(arcsin(-4/5)+arctan(5/12))? ASAP please...
Answer:
-33/56
Step-by-step explanation:
suppose: A,B are the 2 angles of a triangle
we have: A = arcsin[tex]\frac{-4}{5}[/tex]
B = arctan [tex]\frac{5}{12}[/tex]
=> sin A = [tex]\frac{-4}{5}[/tex] => cos A = [tex]\sqrt{1-\frac{(-4)^{2} }{5^{2} } } =\frac{3}{5}[/tex] (because A is in quadrant IV)
tan B = [tex]\frac{5}{12}[/tex]
have:
[tex]1+ cot^{2}B=\frac{1}{sin^{2}B } => 1+\frac{1}{tan^{2} B}=\frac{1}{sin^{2}B } \\=> 1+\frac{1}{\frac{5^{2} }{12^{2} } } =\frac{1}{sin^{2}B }\\ => sin^{2}B=\frac{25}{169}[/tex]
because B is in quadrant III => [tex]sin B=-\sqrt{\frac{25}{169} }=\frac{-5}{13}=>cosB=-\sqrt{1-\frac{5^{2} }{13^{2} } }=\frac{-12}{13}[/tex]
tan(arcsin(-4/5)+arctan(5/12)) = tan( A + B)
but A,B are the 2 angles of a triangle => tan(A + B) = [tex]\frac{sin(A+B)}{cos(A+B)}[/tex]
have: sin(A+B) = sinA.cosB + cosA.sinB = [tex]\frac{-4}{5}.\frac{-12}{13} +\frac{3}{5}.\frac{-5}{13}=\frac{33}{65}[/tex]
cos(A + B) = cosA.cosB - sinA.sinB =[tex]\frac{3}{5}.\frac{-12}{13}-\frac{-4}{5}.\frac{-5}{13}=\frac{-56}{65}[/tex]
=> tan(A + B) = [tex]\frac{33}{65}:\frac{-56}{65}=\frac{-33}{56}[/tex]
Answer:
pie/6
Explaniation:
just took the test on k12
Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining
eggs to his dogs.
Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.
Answer:
E = 16 ≤ x ≤ 23
Step-by-step explanation:
Number of eggs laid per week = between 18 and 25
Let x = exact number of eggs laid
Using inequality :
18 ≤ x ≤ 25
Number of eggs Pat eats = 2
18 - 2 ≤ x ≤ 25 - 2
Eggs left after pat eats 2 of the eggs :
16 ≤ x ≤ 23
Hence,
Eggs eaten by pat's dogs :
E = 16 ≤ x ≤ 23
In Rebecca's kennel, 3/4 of the dogs are poodles. If 9/10 of the poodles are white, what fraction of the dogs in the kennel are white poodles?
Answer:
66/80 = 33/40
Step-by-step explanation:
I think this is right sorry if its not :)
Plz I need all the help I can get!
Fill in the blanks to continue the patterns:
Answer:
look in step by step
Step-by-step explanation:
12, 15, 18, 21, 24, 27, 30, 33, etc.
you are increasing by 3
18, 24, 30, 36, 42, 48, 54, 60, 66, 72
you are increasing by 6
5, 9, 13, 17, 21, 25, 29, 33, 37
you are increasing by 4
32, 16, 8... 4, 2, 1
you are decreasing by half
Answer:
A, 12,15 B, 15,21 C, 5,17 D, 32,16
Step-by-step explanation:
for A the rule is count by 3s
for B the rule is add 3 but skip every 2nd number
for C the rule is add is add 4
for D the rule is divide 2
hope this helps :)
- by chance may I get brainliest
The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.
Which is an equivalent equation solved for y?
Answer:
y = a ÷ (πx)
Step-by-step explanation:
An equivalent equation solved for y is:
y = a/πx
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
The formula a = xy, where x and y are the halved lengths of the ellipse's biggest and smallest diameters, may be used to calculate the area, a, of an ellipse.
Starting from the formula a = πxy, we can rearrange it to solve for y:
a = πxy
Dividing both sides by πx, we get:
a/πx = y
y = a/πx
Therefore, an equivalent equation solved for y is:
y = a/πx.
To learn more about the equation;
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Pat rents a car. The car costs $30 per day with an additional charge of $0.10 per mile. He rented it for 7 days and drove 350 miles. What is the cost for renting the car? Write an equation and solve.
Answer:
245
Step-by-step explanation:
30 times 7 is 210 and 350 times 19 cents is 35
Answer:
The equation is y = 30d + 0.10m. The cost is $245.
Step-by-step explanation:
Plug in the values for the equation. The equation will become y = 30(7) + 0.10(350). Solve to get y = 210 + 35. This equals y = 245.
Solve for both and you'll get brainliest
List them as photo 1 and photo 2
Answer:
Photo 1: x=5 y=-2
Photo 2: x=11/5 y=4
Step-by-step explanation:
Photo 1-
2x + 3y = 4
x = 2 − 3/2y
y = 4/3 - 2/3x
2x + 3y = 4
x = 2 - 3/2y
y = 4/3 - 2/3x
Photo 2-
5x + 3y = 23
x = 2 − 3/2y
y = 4/3 − 2/3x
3y = 15x - 21
x = y/5 + 7/5
y = 5x − 7
A one year gym membership costs $160. A registration fee of $28 is paid up front and the rest is paid monthly. Adding the variable. Let x =
Answer:
here's an example to help you out man Let n = how much each new member must pay each month.
$160 - $28 = $132
n = $132 ÷ 12 months in a year
n = $11
You can also look at it this way:
n = (160 - 28)/12
If f left parenthesis x right parenthesis equals 2 x minus 4 and g left parenthesis x right parenthesis equals negative 5 x plus 6, then what is f(g(2))?
The value of the function f(g(2)) is: f(g(2)) = -12
Here,
To find the value of f(g(2)),
we first need to find the value of g(2), and then use that result as the input for the function f.
Given:
f(x) = 2x - 4
g(x) = -5x + 6
Step 1: Find g(2)
g(2) = -5(2) + 6
g(2) = -10 + 6
g(2) = -4
Step 2: Use the result g(2) as the input for f(x)
f(g(2)) = f(-4)
f(x) = 2x - 4
f(-4) = 2(-4) - 4
f(-4) = -8 - 4
f(-4) = -12
Therefore, f(g(2)) = -12.
To learn more on function click:
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y= 2x-1
3x-y=-1
Shouw ur work cuz im dumb and i need help plz
Answer:
ur not dumb but i think its b
Step-by-step explanation:
If x=4 and 4x+9=y then (4(4)+9=y. This is an illustration of which property
Answer:
pretty sure commutative property lol
Step-by-step explanation:
Ms. Kent wants her students to learn more about the size of the Statue of Liberty. She brings in a scale model of the statue to show the class.
Ms. Kent says that every 2 inches on the model represents 25 feet on the actual statue.
What is the height of the actual Statue of Liberty, in feet, from the tip of the torch to the bottom of the pedestal? Show your work.
Answer:
27 inces will be the answer
Step-by-step explanation:
Still can’t get this right please help
Answer:
D. y = (3/4)x + 10
Step-by-step explanation:
since it has to be in a formula of y = mx + b, it can't be a or b
y - 4 = 3/4 (x + 8)
y - 4 = (3/4)x + 6
y = (3/4)x + 10
In science class, Gladys did an experiment with an unknown solid. She started with 11 grams of the solid. During the experiment, the change in the mass of the solid was -4 grams. What was the final mass of the solid?
Answer:7
Step-by-step explanation:11-4=7
Which of the following ur mum
Answer:
lol thanks for the points
Step-by-step explanation:
Answer:
what does that mean
I've got free points...:D
Bailey has 45 minutes to exercise. It takes Bailey 3 minutes to jog around the track and 5 minutes to stretch. She jogs 6 laps around the track and stretches 2 times. Write and evaluate an algebraic expression to find the amount of time Bailey has left. Use j for the number of laps she jogs and s for the number of times she stretches.
Answer:
a) Time left = [45 - (3j + 5s)] minutes
b) 17 minutes
Step-by-step explanation:
a) Using j for the number of laps she jogs and s for the number of times she stretches. Since Bailey has a total of 45 minutes to complete his exercise, then;
Time left = [45 - (3j + 5s)] minutes
If she jogs 6 laps and stretches 2 times , then;
Time left = [45 - (3j + 5s)]
b) Where j = 6 and s = 2,
Time left = 45 - (3(6) + 5(2))
= 45 - (18 + 10)
= 45 - 28
= 17
Amount of time Bailey has left is 17 minutes.
consider g(×)=5×-12. For what interval(s) is g(×) positive? negative?
Answer:
negative
Step-by-step explanation:
HELPPP THIS IS FOR TODAY
Answer:
1: 15
3:56
4:35
5:56
6:61
Step-by-step explanation:
What u need to do is start with the lowest number of Wave Heights like I did above and then just graph it that way. gud luck bebs (:
May I plz have Brainliest?
Describe the graph of the line y=15. Is it horizontal or vertical? Where does it cross the axis? How do you know?
Answer:
It is a Horizontal line at the mark y= 15 on the graph. It does not cross the X-axis as it is a horizontal line above the origin.
Step-by-step explanation:
1002 - ______ =711 982 - _______= 405 2005 - ______= 970 610 x ____= 2240 ______ x 1000 = 250000 _______ x 4 = 8620 200 x _______ = 40000 ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642? ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643? ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640? ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420? ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?
Answer:
1002 - 712984 =711 982 - 4763987= 405 2005 - ______= 970 610 x 0.00230782703 = 2240.
250 x 1000 = 250000
2155050 x 4 = 8620 200 x 0.00464026356 = 40000
Step-by-step explanation:
a) i) 1002 - ______ =711 982
= 1002- x = 711982
= 1002 - (-711982) = x
= 712984
ii) 711 982 - _______= 405 2005
711982 - x = 4052005
x = 711982 -(- 4052005)
x = 4763987
iii) 970 610 x ____= 2240
2240 ÷ 970610 = 0.00230782703
iv) ______ x 1000 = 250000
= 250000 ÷ 1000
= 250
v) _______ x 4 = 8620 200
8620200 ÷ 4 = 2155050
vi) 8620 200 x _______ = 40000
= 40000 ÷ 8620200
= 0.00464026356
b) ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642?
x ÷ 2 = 8642
x = 8642 × 2
x = 17284
c) ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643?
x ÷ 3 = 8643
x = 8643× 3
x = 25929
d) ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640?
x ÷ 5 = 9640
= 9640 × 5
= 48200
e) ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420?
= x ÷ 5 = 6420
= x = 6420 × 5
= x = 32100
f) ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?
= x ÷ 20 = 2000
= x = 2000 × 20
x = 40000
what is the value of x in the equation 1.5 x+9.1 -2.4=-2.4
Answer:
X = -9.1
Step-by-step explanation:
Add 9.1 and -2.4 together to get
x + 6.7 = -2.4
subtract 6.7 from both sides to get
x = -9.1
Math Help
Thanks
Brainlest will be awarded
Answer:
x=24
Step-by-step explanation:
you reduce the numbers making it 1/7 multiplied by 7x = 24, x will end up being 24