Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
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A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3
Answer:
The volume of a rectangular prism = V = 140 m³
Step-by-step explanation:
Given:
Length l = 4 mWidth w = 5 mHeight h = 7 mTo Determine:
The volume of rectangular prism = VUsing the formula to determine the volume of the prism
V = l × w × h
V = 4 × 5 × 7
V = 140 m³
Therefore, the volume of a rectangular prism = V = 140 m³
There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Answer:
12 Men
Step-by-step explanation:
Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D
a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?
Answer:
15,625
Step-by-step explanation:
2h=120m
120/20 = 6
5^6 = 15,625
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answer: m
one set of ordered pair
b
(In that order)
Step-by-step explanation: Took the test just now, your welcome.
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Answer:
r = -6 cos(θ)
Step-by-step explanation:
got it right on edge
The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).
What is the polar form?The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.
To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:
(x + 3)² + y² = (x² + 6x + 9) + y² = 9
Then we can express x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
Substituting these values into the equation and simplifying:
r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9
r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0
r² + 6r cos(θ) = 0
r(r + 6cos(θ)) = 0
Since r ≠ 0
So, the polar form of the equation is:
r = -6cos(θ)
Thus, the correct answer would be an option (A).
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The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
Given
The three angles in the triangle are: x, 34 and 100
Required
Determine the value of x
Angles in a triangle add up to 180.
So, we have:
[tex]x + 34 + 100 = 180[/tex]
[tex]x + 134 = 180[/tex]
Subtract 134 from both sides
[tex]x + 134 - 134 = 180 - 134[/tex]
[tex]x = 180 - 134[/tex]
[tex]x = 46[/tex]
Hence, the measure of x is 46
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!
Answer:
1. (0,5) (16,21) (20,25) (36,41) (55,60)
Step-by-step explanation:
Hope this helped you!! Give brainliest
Answer:
nnrrharthtghgdzhgdhth
Step-by-step explanation:
Answer I will cashapp you!!!
Answer:
should be y= 4x + 24 let me know if it was wrong
Find the two square roots of 4.
Answer:
2 and -2
Step-by-step explanation:
Answer:
the number 2
If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?
Answer: 1350 ft^2
Step-by-step explanation:
The total square footage of the home will be equal to the sum of the areas of each floor.
We know that the ground floor is 25 ft by 30ft, which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.
We know that te area of a rectangle of width W and length L is:
A = L*W
then the area of the ground floor is:
A = 25ft*30ft = 750 ft^2
And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:
A = 20ft*30ft = 600ft^2
Then the total square footage of the home is:
SF = 750ft^2 + 600ft^2 = 1350 ft^2
The total square footage of the home will be 1350 feet².
Based on the information given, the area of the first floor will be:
= 25 × 30
= 750 feet²
The area of the second floor will be;
= 20 × 30
= 600 feet ²
The total square footage will be:
= 750 + 600
= 1350 feet ²
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10. It takes about me 25 minutes to make out a test for a mathematics dass How long will it take to make
out tests for all five of my classes?
Answer:
2 hours and 5 minutes or 125 minutes
Step-by-step explanation:
25minutes per class
5 classes
25 * 5 = 125 minutes = 2 hours and 5 minutes
Need help
Hurry!!!!!!!!
Answer:
sorry
Step-by-step explanation:
Answer: thats soo ez just do it
Step-by-step explanation:
Answer this please and fast
Answer:
The 3rd answer because each income has an outcome.
Step-by-step explanation:
Answer:
4th option is correct.
Will give the brainiest!!
The graph below shows a line segment XY:
HERE ARE THE MULTIPLE CHOICE ANSWERS: What is the slope of the line segment XY?
−2
− 1 over 2
1 over 2
2
2x + 3 = x -4
what is the answer
Answer:
Step 1: Subtract x from both sides.
2x+3−x=x−4−x
x+3=−4
Step 2: Subtract 3 from both sides.
x+3−3=−4−3
x=−7
Answer:
x=−7
220-450+9
Will mark brainliest
Answer:
220_450×9 =-221Step-by-step explanation:
I hope l helped you .Please follow me. ❤❤Plsss help meeeeeeeeeeeee
Answer:
x = 8
y = 14
Step-by-step explanation:
It's given in the question,
ΔABC ≅ ΔDEF
Therefore, by the property of congruence,
EF = BC, AB = ED and AC = FD
And m∠E = m∠B
Since, m∠E = m∠B
(6y - 4) = 80
6y = 80 + 4
6y = 84
y = 14
Since, AB = ED
10 = 3x - y
10 = 3x - 14
3x = 24
x = 8
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Complete question :
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Answer:
100 + v
Step-by-step explanation:
Given that:
Interest yearly = v%
Amount deposited = principal = $100
Amount earned at the end of the year:
A = P(1 + rt)
A = 100(1 + 0.01v)
A = 100 + v
Where A = final amount
Final amount at the end of the year = 100 + v
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
Create an expression that would represent the area of the triangle
Answer:
96cm
Step-by-step explanation:
A=1/2bxh (Area=BasexHeight) is the formula to find it.
A=1/2x192
A=96
someone please help me
Answer:
D. 8/5 x
Step-by-step explanation:
Answer:
8/5 x
Step-by-step explanation:
I need help with the question in the attached image.
Answer:
Third choice
Step-by-step explanation:
We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6
Brainlyp pls!
can someone solve a - 3 over 7 s = -8
and a + 24 = -15
STEP BY STEP PLEASE.
Answer:
a=-39; s=0.75
Step-by-step explanation:
Solve the System of Equations by Substitution.
First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.
a+24=-15 -------> a=-39
Now we know what a is just plug it back into the other equation and get s.
[tex]\frac{a-3}{7s} =-8[/tex]
[tex]\frac{-39-3}{7s} =-8[/tex]
[tex]\frac{-42}{7s} =-8[/tex]
Switch the -8 and 7s
[tex]\frac{-42}{-8} =7s[/tex]
Simplify the fraction
5.25=7s
Divide by 7 to isolate the s
0.75=s
Answer:
2)a+24=-15
a=-15-24
a=-39
Step-by-step explanation:
The length and width of the rectangle is 60 and 40. If the scale factor is ¼, what are the new measurements?
Answer:
15 and 10
Step-by-step explanation:
I hope this helps :)
Please help me ASAP!!! and please explain it because I do not understand how to do this at all.
Answer:
The 3 one
Step-by-step explanation:
So first you need to find all the angles.
Triangles all have a total degree of 180.
Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2
300/3x6
A,580
B.600
C601
D620
Answer:
B. 600
Step-by-step explanation:
300 / 3 = 100
100 x 6 = 600
how to factor this completely?
25v3 - 40v2 + 35v – 56
Answer:
Factor 25v3−40v2+35v−56
25v3−40v2+35v−56
=(5v−8)(5v2+7)
Answer:
(5v−8)(5v2+7)
Please help me with these questions ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
For the first picture: m angle t=36 and m angle v=54
For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180
Step-by-step explanation:
For the first picture, you had to do 2x+3x+90=180
We got the 90 from the right triangle.
Then you combine like terms, which was then 5x=90=180
Then, you subtract the 90 from both side, leaving 5x=90
Divide 90 by 5, which gives you x=18
For both the answers, you had to do 2(18) for T and 3(18) for V
The second picture, you did (8y + 1) + (5y + 5)= 136
You combine like terms, which levas you with 13y + 6 = 136
You subtract 6 from both sides, leaving you with 13y= 130
Divide 130 by 13, which is 10 so y=10
You then replace the y for (8y + 1) to 10 and solve
As well as for (5y + 5), you replace the y with 10 and solve
And m angle QRP is 180 because every triangle has a total of 180 degrees
Hope this helped!