Answer:
(z - 5)3
Step-by-step explanation:
Since we are following the directions strictly, we must subtract 5 from z first.
z - 5
Then we multiply the ENTIRE thing by 3
3(z - 5)
Answer:
(z-5)3 or (z-5)*3
Step-by-step explanation:
Use Pedmas. I am sorry I am not good a explaining but that is the answer.
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
Learn more on the inverse of a function here: brainly.com/question/29652632
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The graph shows the speed of Sam's car over time.
Which best describes what is happening in section C?
Speed of Car
His car is stopped.
His car is speeding up.
His car is slowing down.
His car is traveling at a constant speed.
Answer:
Its C
Step-by-step explanation:
The statement which best describes what is happening in section C is His car is slowing down.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
The graph is attached below.
There are 4 sections on the graph.
In the section A, the car is speeding up since the speed is increasing as the time increases.
In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.
In the section C, speed is decreasing with time. So the car is slowing down.
In the section D again the car travels at a constant speed.
Hence in section C, car is slowing down.
Learn more about Speed here :
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The length of a rectangle is 2 inches less than three times it’s width.and it’s perimeter is 36 inches .find the width of the rectangle. A. 5 in B .10 in C.4in
Answer:
A
Step-by-step explanation:
Let width =w in
Length = 3w - 2 in
Perimeter of rectangle = 36 inches
2* (length + width ) = 36
2*(3w -2 + w) = 36
2* (4w -2 ) = 36
2*4w - 2*2 = 36
8w - 4 = 36
Add 4 to both sides
8w - 4 + 4 = 36 +4
8w = 40
Divide both sides by 8
8w/8 = 40/8
w = 5
Width = 5 in
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1050 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
What number is represented by point B?
Which point represents the number 2?
Answer:
-1, c
Step-by-step explanation:
Each dot represents 1.
0 - 1 = -1
As labeled, c represents 2.
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
Definition: A method of solving a system of equations in which you obtain opposites to cancel one of the variables and solve for the other variable.
what is 1 1/16 rounded to the nearest half? ( need answer now please)
Answer:
1
Step-by-step explanation:
Halves:
0
0.5
1
1.5
2
1 1/16 = 1.0625
1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1
Image attached: geometry
===================================================
Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
Suppose that y varies directly as x. When x is 7, y is 2. Solve for y when x is 63. (Enter an exact number.)
2. Below is a circle with centre C. A, B, D, and E
are points on the circumference. BD is a diameter of
the circle.
Angle CDA is 18° Find the size of angle EDA.
You must show your workings
Answer:
Step-by-step explanation:
45-37
8x17 = 136
Find the interest on $5,432 at 6% for 2 years.
Answer:
the interest is 5.42
Step-by-step explanation:
Answer:
Interest = 5.42
Step-by-step explanation:
74°
X +85
33°
A) 4
C) -12
B) -5
D) -11
74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)
192=180-x
192-180=-x
12=-x
-12=x
Consider the quadratic function f(x) =
3x2–5x + 12. Which statements are true about the function and its
graph? Select three options.
Answer:
A, B, D
Step-by-step explanation:
Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 15 yards and hypotenuse 25 yards.
a.
20 yd
b.
150 yd
c.
60 yd
d.
300 yd
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
X² + 15² = 25²
Then you must figure out what 15² and 25².
15² = 225
25² = 625
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
625 - 225 = 400.
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
√400 = 20.
The missing length of the triangle is 20 yards.
Now it's just a matter of finding the area by using the formula;
A = [tex]\frac{bh}{2}[/tex]
Or,
(20 × 15) ÷ 2 = 150.
And there's your answer. Don't forget to add the units.
Hope this helped.
what's the slope of a line that passes through (-8,-16) and (18,5)?
Answer:
C. 21/26
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in our coordinates:
m = (5 + 16)/(18 + 8)
m = 21/26
Answer:
C. 21/26
Step-by-step explanation:
Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.
Here, our y-coordinates are -16 and 5, so:
5 - (-16) = 5 + 16 = 21
Our x-coordinates are -8 and 18, so:
18 - (-8) = 18 + 8 = 26
Now, we divide: 21/26.
The answer is thus C.
~ an aesthetics lover
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can it fly in 7 minutes? In an hour?
Answer:
28 miles in 7 minutes, 240 miles in an hour
Step-by-step explanation:
We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1
The plane travels 4 miles a minute
To find how much it travels in 7 minutes, multiply by 7
4x7 is 28
28 miles in 7 minutes
To find an hour, multiply by 60
4x60= 240
240 miles in an hour
The diagram shows a sector of a circle radius 10 cm, 135°. Find the perimeter of the sector
Answer:
22.4 cm
Step-by-step explanation:
Given
r = 10 cm
θ = 135°
Perimeter of sector is:
P = 2r + 2πr(θ/360)
P = 2*10 + 2(3.14)(135/360) = 22.4 cm (rounded)
p% of m PLEASE HELP IMMEDIATELY
Answer:
pm/ 100 is answer.
Step-by-step explanation:
here, p% of m
=p/100× m
= pm/ 100 ...is answer.
hope its what you are searching for..
Please Help 100 points
Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Answer:
see below
Step-by-step explanation:
-1.1 x + 6.4 >- 1.3
Subtract 6.4 from each side
-1.1 x + 6.4 -6.4 >- 1.3-6.4
-1.1x > -7.7
Divide each side by -1.1, remembering to flip the inequality
-1.1x/-1.1< -7.7/-1.1
x < 7
There is an open circle at 7 and a line going to the left
Hey there! :)
Answer:
C.
Step-by-step explanation:
Given:
-1.1x + 6.4 > -1.3
Subtract 6.4 from both sides:
-1.1x > -7.7
Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.
-1.1x/ (-1.1) < -7.7/(-1.1)
x < 7.
Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.
A hot air balloon holds 74,000 m3 of helium. The density of helium is 0.1785 kg/m3. What’s the mass of the helium inside the balloon when it’s full? ANSWERS: 6,529 kg 414,565 kg 740 kg 13,209 kg
what pattern exists in each period of 356,039?
Answer:
1/1
Step-by-step explanation:
because that is it
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
Solve for x: –|2x+3|=1
Step-by-step explanation:
-|2x+3|=1
-|2x+3|/-1=1/-1
|2x+3|=-1
2x=-1-3
2x=-4
2x/2=-4/2
x= -2
Put the following numbers in order from greatest to least 7 030 400, 70 000 200, 78 330, 790 300, 709 400, 70 800
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800
Step-by-step explanation:
Greatest is always the number with the most digits.
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800
Step-by-step explanation:
To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.
[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!
Which statement is true? All quadrilaterals have at least 1 pair of parallel sides. Parallelograms have 2 pairs of congruent angles. A rhombus is a rectangle. A trapezoid is a parallelogram.
Answer:
PARALLELOGRAM have 2 pairs of congruent angles
Step-by-step explanation:
QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.
The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
What is quadrilateral?A figure enclosed by the four sides and the sum of all the angles are equal to 360.
Properties of a quadrilateral are:-
A quadrilateral has four sides (edges)
A quadrilateral has four vertices (corners)
A quadrilateral has interior angles that add to 360 degrees:
Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.
So here All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
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What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2
Answer:
4
Step-by-step explanation:
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.