Answer:
Step-by-step explanation:
f(x) = 4x+6
the domain has the values of x {-1, 0, 2}
the range is the f(x) or y values and could be calculated if you substitute in the given equation.
f(x= -1) ) = 4(-1) +6 = -4 +6=2
f(x=0) = 4·0 +6 = 0+6 = 6
f(x=2) =4·2 +6 = 8+6 = 14
the range is {2, 6, 14}
The distance to your cousin's house is 156 miles, and the distance to Dallas is 936 miles. If it took 3 hours to drive to your cousin's house, how long would it take to drive to Dallas?
Answer:
18 hours
Step-by-step explanation:
Calculation to determine how long would it take to drive to Dallas
First step is to calculate the Miles per hour, mph
Using this formula
Miles per hour, mph = Miles/hour
Let plug in the formula
Miles per hour=156 miles/3 hours
Miles per hour= 52 mph
Now let determine how long would it take to drive to Dallas
Using this formula
Distance overtime=Distance per miles/Miles per hour
Let plug in the formula
Distance overtime=936 miles/52 mph
Distance overtime= 18 hours
Therefore how long would it take to drive to Dallas will be 18 hours
In one month, Lily sold 250 liters of soda at the pizza shop. How many kiloliters did Lily sell that month? 2,500, 25, 0.25, 2.5,
Answer:
0.25kiloliters
Step-by-step explanation:
250÷100
Solve the following linear equation.
6(x + 2) = 30 x
Answer:
x=1/2
Step-by-step explanation:
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
y=2x+5
how do i find the x and y coordinates?
Answer:
for each x, the difference in the y value it has an origin at (0,5)
Step-by-step explanation:
if x equals 0, y equals 5.
if x equals 1, y equals 7 and so on
if x equals -1, y equals -5 and so on.
Answer:
I dont know to be honest I dont remember so yeahmmmm ummmmm
Use f(x) = 1/2x and f^-1(x) = 2x to solve the problems.
f(2)=
f^-1(1) =
f^-1(F(2)) =
Given:
The functions are:
[tex]f(x)=\dfrac{1}{2}x[/tex]
[tex]f^{-1}(x)=2x[/tex]
To find:
The values of [tex]f(2),f^{-1}(1),f^{-1}(f(2))[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{1}{2}x[/tex] ...(i)
[tex]f^{-1}(x)=2x[/tex] ...(ii)
Putting [tex]x=2[/tex] in (i), we get
[tex]f(2)=\dfrac{1}{2}(2)[/tex]
[tex]f(2)=1[/tex]
Therefore, the value of [tex]f(2)[/tex] is 1.
Putting [tex]x=1[/tex] in (ii), we get
[tex]f^{-1}(1)=2(1)[/tex]
[tex]f^{-1}(1)=2[/tex]
Therefore, the value of [tex]f^{-1}(1)[/tex] is 2.
Now,
[tex]f^{-1}(f(2))=f^{-1}(1)[/tex] [tex][\because f(2)=1][/tex]
[tex]f^{-1}(f(2))=2[/tex] [tex][\because f^{-1}(1)=2][/tex]
Therefore, the value of [tex]f^{-1}(f(2))[/tex] is 2.
Lol someone give me an intro about “Toxic Masculinity” for my English’s class ITS NOT MATH
Answer:
A lot of people think masculinity has to do with how you dress, act, or think but, its not always like that. Its the way you feel comfortable in your own skin as a masculine person and this is why...
Step-by-step explanation:
This is just my intake hope it helps
Answer:
Toxic masculinity is the need to aggressively compete and dominate others and the reason why they feel that need is..
I don't really have anything else to add
Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___
10" inches
Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse. [tex]cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}[/tex]
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C
[tex]tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x[/tex]
Using a calculator x would be about 8.4
Answer:
Step-by-step explanation:
Twins Isaac and Isaiah were just born. Isaac weighs 666 pounds 222 ounces and Isaiah weighs 555 pounds 444 ounces.
How many ounces do Isaac and Isaiah weigh together
Help plz
Edkdiuddkdkdkdjdjdhsuehehdhd
Answer:
answer will be
Step-by-step explanation:
12
option d
A) Create a Venn Diagram that shows the relationship between A, B, and the Universal Set.
B) What is (AUB)?
C) What is (AnB)?
D) What is A^c?
Answer:
{a universal set is a set which contains all objects, including itself}
Step-by-step explanation:
a) you will create two circle, crossing over each other, and shade both the "A" the "B" and the middle space.
b) (AUB) means the same thing as universal set, but its called union, infact if you draw this out in Venn Diagrams this will be the exact same as answer (a).
c) A n B : mean A 'intersection' with B, so here you will only shade the area where both circles meet.
d) i am not sure of this one, sorry
9. Find the square root of the following numbers correct to two places of decimal:
a) 0.001
b) 7.01
c) 1.31
with steps pls send
thanks
Answer:
a ) 0.03
b) 2.64
c) 1.14
Step-by-step explanation:
Given :
a) 0.001
Now need to find square root of 0.001
[tex]\sqrt{0.001} =0.03[/tex]
Similarly
b)
[tex]\sqrt{7.01} =2.64[/tex]
c)
[tex]\sqrt{1.31} =1.14[/tex]
Therefore, answer will be :
a ) 0.03
b) 2.64
c) 1.14
Answer: a. 0.03, b. 2.65 c. 1.14
Step-by-step explanation:
You can't find the square root of these manually, so I used a calculator to solve
Mr. Dominguez wrote the formula below to calculate o, the acceleration of his motor.
V-S
а
t-b
Solve Mr. Dominguez's formula for t, the final time.
Answer:
t = {(v - s) + ab} / a
Step-by-step explanation:
a = (v - s) / (t - b)
Make t the subject of the equation
a = (v - s) / (t - b)
Cross product
a * (t - b) = (v - s)
at - ab = (v - s)
Add ab to both sides
at = (v - s) + ab
t = {(v - s) + ab} / a
F(x) = 7
G(x) = 7^x + 6
Which statement about f(x) and it’s translation, g(x) is true ?
Answers shown in picture*
Answer:
the fourth one is correct
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Complete the steps in the two-column proof.
♣:
♦:
Answer:
clover
Step-by-step explanation:
because
The measure of angle ∠x = 28°.
We have a geometrical figure [Refer to the image attached in the end].
We have to prove that x = 28°.
What is the measure of a Straight angle.The measure of straight angle is 180°.
According to the question -
Line DLG is a Straight line. Therefore -
2∠x + 124° = 180°
2∠x = 56°
∠x = 28°
Hence Proved.
To solve more questions on finding unknown angles, visit the link below-
https://brainly.com/question/28010527
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Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of AABC?
Answer:
Step-by-step explanation:
I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.
I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.
When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.
AD: y = -1/2x + 2
BE: y = 2x
If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.
-1/2x + 2 = 2x and
2.5x = 2 so
x = .8
And if x = .8, we can sub that into either equation to find y:
y = 2(.8) so
y = 1.6
So the coordinates of C are (.8, 1.6).
Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.
Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:
AC = .8944
BC = .4472
This allows me to use the Law of Cosines to find the measure of angle A.
Angle A = 26.56°
Now I can use the area formula for a triangle that says
[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and
[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so
A = .1999 units squared
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the pool?
Answer:
The height of the water increases 2 inches per minute. Or A
Step-by-step explanation:
Edge
Answer: A ( The height of the water increases 2 inches per minute)
Given cosθ = -(√24/5) and angle θ is in Quadrant III, what is the exact value of sinθ in simplest form? Simplify all radicals if needed.
Answer:
[tex]sin \theta = - \frac{1}{5}[/tex]
Step-by-step explanation:
We Know
[tex]sin ^2 \theta + cos^2 \theta = 1\\[/tex]
[tex]sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]= 1 - (-\frac{\sqrt{24} }{5})^2[/tex] [tex][\ given : cos \theta = -\frac{\sqrt{24} }{5} \ ][/tex]
[tex]= 1 - \frac{24}{25}\\\\= \frac{25 - 24}{25}\\\\=\frac{1}{25}[/tex]
[tex]sin ^2 \theta = \frac{1}{25}\\\\sin \theta = \sqrt {\frac{1}{25}}\\\\sin \theta = \pm \frac{1}{5}\\\\Since \ \theta \ is \ in \ III \ Quadrant \ sin \theta = -\frac{1}{5}[/tex]
write an equation of the line that passes through (0,9) and is perpendicular to the line y= -x+1
Answer:
[tex]y=x+9[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=-x+1[/tex]
This equation can be written as [tex]y=-1x+1[/tex]. Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is [tex]-(\frac{1}{-1} )[/tex], or just 1.
Plug 1 into [tex]y=mx+b[/tex] as the slope:
[tex]y=1x+b[/tex]
[tex]y=x+b[/tex]
2) Determine the y-intercept (b)
Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.
The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into [tex]y=x+b[/tex]:
[tex]y=x+9[/tex]
I hope this helps!
Gina and her sister built a fort out of boxes. What is the volume of the fort?
Answer:
i don't know its hard
Step-by-step explanation:
SORRY
We will see that the total volume of the fort of boxes is 70.75 ft^3
How to get the volume of the fort?
For a rectangular prism of length L, width W, and height H, the volume is:
V = L*W*H
Then we can find the volume of the 3 boxes shown.
The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:
V = 3ft*2ft*2.5ft = 15ft^3
The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:
V' = 3ft*1.75ft*3ft = 15.75 ft^3
The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:
V'' = 4ft*4ft*2.5ft = 40ft^3
So the total volume of the fort is:
V + V' + V'' = 15ft^3 + 15.75 ft^3 + 40ft^3 = 70.75 ft^3
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
For the Transformation T write the T-1
T: (x, y) = (x + 4, y + 3)
Т-1 (x, y) -
(x+3, y + 2)
(x-4, y-3)
(x+, y + 3)
Answer:
(T - 1)(x, y) = (x - 4, y - 3)
Step-by-step explanation:
For a given transformation:
T(x, y) = (x', y')
the inverse transformation is defined by:
(T - 1)(x', y') = (x, y)
So, if our transformation is:
T(x, y) = (x + 4, y + 3)
Then for the inverse transformation, we should have:
(T - 1)(x + 4, y + 3) = (x, y)
So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.
Writing the inverse transformation for a generic (x, y) point, we get:
(T - 1)(x, y) = (x - 4, y - 3)
Which is the correct data set for the box-and-whisker plot shown above?
Answer:
b
Step-by-step explanation:
10.5 rounded to 14.25 =15 so that is called natural number
Dan sells beaded necklaces. Each large necklace sells for $6.40 and each small necklace sells for $4.80. How much will he earn from selling 7 large necklaces
and 1 small necklace?
Step-by-step explanation:
my horses are working and in the image above
A 200 foot long zipline cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes an angle of 61º with the ground. Calculate how far away the foot of the cable is to the base of the tree.
Answer:
~ 97 ft
Step-by-step explanation:
cos = adj/hyp
cos61 = adj/200
200 * cos61 = adj
adj = 96.961924049267406
~ 97 ft
The foot of the cable is 95 feet away from the base of the tree.
What is Trigonometric Function?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.
We have,
The angle between the ground and the cable is given as 61º.
In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.
Cosine(angle) = adjacent/hypotenuse
Cos(61º) = adjacent/200 ft
adjacent = Cos(61º)x200 ft
adjacent ≈ 0.475 x 200 ft
adjacent ≈ 95 ft
Therefore, the foot of the cable is 95 feet away from the base of the tree.
Learn more about Trigonometric Ratio here:
https://brainly.com/question/23130410
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What is the sum of the measures of the interior angles of an octagon?
Answer:
1080
Step-by-step explanation:
(n-2) × 180
(8-2) × 180= 1080
The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
What is an expression?An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.
According to the question,
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]
⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]
⇒[tex]-12x=bx[/tex]
⇒ [tex]b=-12[/tex]
∴ [tex]b=-12[/tex]
Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
Learn more about expression here
https://brainly.com/question/19131200
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What is the answer? Some please help!!
Answer:
Area of the figure = 200 cm²
Step-by-step explanation:
Area of rectangle A = Length × Width
= 5×9
= 45 cm²
Area of rectangle B = 5 × 11
= 55 cm²
Area of rectangle C = 5 × 9
= 45 cm²
Area of rectangle D = 5 × 7
= 35 cm²
Area of rectangle E = 10 × 2
= 20 cm²
Total area of the figure = 45 + 55 + 45 + 35 + 20
= 200 cm²
There are 16 females and 20 males at the park. Which of the following represents the probability of
randomly selecting a male to participate in your kickball game?
a.) 16/20
b.) 16/36
c.) 20/16
d.) 20/36
Answer:
d. 20/36
Step-by-step explanation:
total: 36
males: 20
Pls I need help.. this is due in a few mins...
Find the surface area of the regular hexagonal prism.
Answer:
463u
Step-by-step explanation:
to find surface area you multiply things like a*b a*c b*c, but you only need two in this case,you dont need 4.3*14, so it just 4.3*5 and 5*14, multiply those and add em
if f(x) = 4x^4-6x^3+2x+4 and g(x) = 5x^3 -7x^2 -3x +7 what is (f-g) (x)
PLEASE HELP!
Answer:
h 6
Step-by-step explanation:
Answer:
option 4
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - (5x³ - 7x² - 3x + 7) ← distribute parenthesis by - 1
= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - 5x³ + 7x² + 3x - 7 ← collect like terms
= 4[tex]x^{4}[/tex] - 11x³ + 7x² + 5x - 3