Answer:
when the input = 4Then the output = 6Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
when the input = 4Then the output = 6Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
f(0) = 5
Ob
f(0) = -5
Ос
f(5) = 0
Od
f(-5) = 0
Answer:
As
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.
Step-by-step explanation:
We know that the special theorem of remainder states that:
if
[tex]x-k[/tex] is a factor of [tex]p(x)[/tex]
then
[tex]p(k) = 0[/tex]
so
[tex]x+5 = x-(-5)[/tex]
[tex]k = -5[/tex]
Thus,
[tex]p(k) = 0[/tex]
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.
Find exact values of a trigonometric function
Answer:
you didnt put a pic bro how can we answer
ASAP Help me please!!
=============================================
Work Shown:
Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.
The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).
Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180
z+z+56 = 180
2z+56 = 180
2z = 180-56
2z = 124
z = 124/2
z = 62
Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)
We'll use the same trick as before.
(x+z)+(x+z)+(y) = 180
(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28
2x+152 = 180
2x = 180-152
2x = 28
x = 28/2
x = 14
A jet flew from New York to Los Angeles, a distance of 4,200 kilometers. Then it completed the return trip.
The speed for the return trip was 100 kilometers/hour faster than the outbound speed. This expression,
where x is the speed for the outbound trip, represents the situation.
4,200
4,200
T +
5 + 100
Which expression could be a step in rewriting this sum?
Answer:
the answer of this qst is A
Applying the least common multiple, the fraction is rewritten as
[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
---------------------------------------
The fraction given is:
[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]
When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.
[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
A similar problem is given at https://brainly.com/question/17165235
Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.
Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
As the domain is (-1, 3)Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answer:
[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]
What is the value of 24 - (-6 - (5 + 8))?
Answer:
43
Step-by-step explanation:
Simply follow PEMDAS.
24 - (-6 - (5 + 8))
24 - (-6 - 13)
24 - (-19)
24 + 19
= 43
The box plot below represents the number of hours Judy takes to complete a quilt.
++
22
24
26
28
34
36
38
40
30
32
Hours per Quilt
Which data set could be represented by this box plot?
O A. 39.32, 29, 22, 33, 29, 25, 37, 34
ОВ.
22, 27, 38, 34, 24, 32, 33, 30, 39
OC. 32, 36, 27, 30, 22, 35, 39, 28, 34
w
OD. 25, 36, 30, 32, 34, 39, 22, 29, 36
could someone explain please? i will give brainliest thank you so much.
Answer:
Answer is A.44
Step-by-step explanation:
So we multiplying 18*2 to find a measure 18*2=36
so we know that 18*2 is equal to 36 but we now that we have 13 so. we take 36+12=44
A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)?
Answer:
A)63miles per hour.
B)27 miles per hour
Step-by-step explanation:
HERE IS THE COMPLETE QUESTION
boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?
Let the speed of boat in still water = V(boat)
speed of current=V(current)
To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as
[V(boat) +V(current)]
It was stated that it takes 1hour for the
boat to travels between two points of 90 mi apart downstream.
To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as
[V(boat) - V(current)]
and it was stated that it takes 2 1/2 for return trip against the Current
But we know but Speed= distance/time
Then if we input the stated values we have
V(boat) + V(current)]= 90/1 ---------eqn(1)
V(boat) - V(current) = 90/2.5----------eqn(2)
Adding the equations we have
V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1
V(boat) + V(current) + V(boat) - V(current)]=90+36
2V(boat)= 126
V(boat)=63miles per hour.
Hence, Therefore, the speed of boat in still water is 63 miles per hour.
?b) How fast does the current in the river flow?
the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)
V(boat) + V(current)]= 90/1
63+V(current)=90
V(current)= 27 miles per hour
Hence,Therefore, the speed of current is 27 miles per hour.
The three line segments dividing the two sides of the triangle shown are parallel to the base of the triangle.
Last year Lucy made $87.32 house-sitting for a neighbor and $82.29 mowing lawns. How much money did she earn in all?
Answer:
$169.61
Step-by-step explanation:
X = 87.32 + 82.29
X = 169.61
Answer:
$169.61
Step-by-step explanation:
87.32+82.29=169.61
need brainlyest plz
Please feel free to help if not i can figure it out, thank you.
Answer:
A makes the most sence cbwt
Step-by-step explanation:
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
what is the value of the expression PLS? HURRY I give 17 points and brainliest
Answer: -77[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
3) Round answer to the nearest hundredth. *
14 points
A right triangle has one leg with a length of 18 mm and a hypotenuse with a length of 82 mm.
What is the length of the other leg?
Your answer
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg, [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy:
The ratio of DA:HE is 1:2. What is the length, in meters, of side FG on the photocopied image?
14
17
28
34
Answer:
I think its 28.
Step-by-step explanation: Dont take my word for this tho
the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.
The length of BC is 14 so 14 x 2 is 28.
The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.
Given :
Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy.The ratio of (DA : HE) is 1:2.AB = 17 mBC = 14 mThe following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:
Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.
Step 2 - From the above step, it can be concluded that 2 is the dilation factor.
Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:
FG = 2 BC
Step 4 - Substitute the value of length of side BC in the above expression.
FG = 2(14)
FG = 28 m
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/24140933
anyone wanna help :D
Answer:
Srry I.D.K but if u need anything else let me know
Step-by-step explanation:
Answer:
A. 158
Step-by-step explanation:
i hope it helped!
While Matt was building a new home, he built an area of 180 square feet. He cut two 8 foot by 4-
foot windows on the wall. How much wall was left over after he cut out the windows?
Answer:
16 square feet was left over after he cut out the windows
Step-by-step explanation:
The formula of the area of a rectangle is A = l × w, where
l is the length of the rectanglew is the width of the rectangle∵ The dimensions of each window are 8-foot by 4-foot
∴ l = 8 feet and w = 4 feet
→ By using the rule above find the area of each window
∵ A = 8 × 4
∴ A = 32 feet²
∴ The area of each window = 32 feet²
∵ He cut 2 windows
∴ The area of the 2 windows = 2 × 32
∴ The area of the 2 windows = 64 feet²
∵ The area of the wall is 80 feet²
→ To find the area of the wall left, subtract the area of the windows from
the area of the wall
∵ The area left = 80 - 64
∴ The area left = 16 feet²
∴ 16 square feet was left over after he cut out the windows
convert y=3x-2 to standard form
Answer:
y = 3 x−2
Step-by-step explanation:
Write the slope intercept form of the equation of each line given the slope and y intercept
Answer:
11) y= -1x-2
12) y= 3/2x+3
13) y= 3x-2
14) y= 3/4x+1
15) y= 1/2x+1
16) y= -2/5x+0
17) y=7x+2
18) y= 4/3x-4
Step-by-step explanation:
y=mx+b
m is slope and b is y intercept
-3x-6y=6 y=x+8 infinite solution no solution one solution
Answer:
3x-6y=6
y=x+8
3x - 6(x+8) = 6
3x - 6x - 48 = 6
-3x - 48 = 6 / +48
-3x = 54 // -3
x = - 18
y = -18 +8 = 10
Step-by-step explanation:
Solve for X. 20 points !!!!
Answer:
4) x = - 12
5) x = 4
Step-by-step explanation:
4)
Since points T and S are mid points of sides ML and MN of triangle MLN.
Therefore, by mid point theorem,
TS is half of LN
so,
[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]
5) In the same way x = 4 will be the correct answer in question number 5.
1. If 4 lbs of apples cost $36, How much would 2 lbs cost?
Answer:
18
Step-by-step explanation:
divide 36 by 2
Answer:
18
Step-by-step explanation:
36/4=9
1lb=9
2lbs=18
Match the number to the quadrant they are on in the complex plane.
4 + 41
-7 +3i
9 - 181
-1 - 31
Answer: 44
4
13
Step-by-step explanation:
if I have a bottling machine that fills 15 bottles of water every 6 seconds, what is my unit rate and what would be my slope on a graph?
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the unit rate is termed as the slope of the line.
We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.
We are given that a bottling machine fills 15 bottles of water every 6 seconds.
We want a unit rate where 1 is in the denominator.Thus,
unit rate = 15 bottles / 6 seconds
= 2.5 bottles / 1 second
= 2.5 bottles per second
Thus,
The unit rate = 2.5 bottles per second
We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.
Therefore,
Slope = 15 / 6
= 2.5
The temperature falls from -7°C to -20°C. What is the change in these temperatures?
Answer:
13 degrees Celsius
Step-by-step explanation:
To solve this question, you need to subract -20 from - 7.-7-(-20) is 13.
The points (-5, 5) and (5, r) lle on a line with slope -3. Find the missing coordinate r.
Answer:
r = -25
Step-by-step explanation:
slope is change in "y" over change in "x"
so whatever your change in "x" is between the two points, the change in "y" needs to be in proportion to the slope of -3.
Here the change in "x" is +10, and to make the proportion of the slope equal to -3, the change in "y" needs to be -30.
Starting from the "y" coordinate of 5, a change in "y" of -30 will give you r = -25
So the two points are (-5, 5) and (5, -25)
Armando used algebra tiles to represent the product
3x(2x - 1).
PLEASE HELP ASAP, WILL GIVE BRAINLIEST!!
Answer:
5/57 is the answer i think so dont get mad if wrong.
if right mark brainlyest
Step-by-step explanation: