Answer:
d
Step-by-step explanation:
The true statement: A The two functions have the same initial value.
What is a linear function?A linear function has a straight line as its graph.
A linear function has the form shown below.
a + bx = y = f (x).
A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.
We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:
E(x) = (1/3)x + 2
We also know that function F is a linear function that includes the points (2, 8) and (0, 2).
We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.
The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3
Using point-slope form with the point (2, 8), we get:
F(x) - 8 = 3(x - 2)
F(x) = 3x + 2
Now we can compare the two functions.
A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.
B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.
C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.
D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.
Therefore, the only true statement is A. The two functions have the same initial value.
To learn more about the linear function;
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Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10
9514 1404 393
Answer:
86.6 inches
Step-by-step explanation:
The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...
P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
Andre says that 534+ 214= 712 because 748= 712. Identify his mistake.
Step-by-step explanation:
748 ≠ 712 so 534 + 214 only = 748 not 712
3/4x+3-6/2x-1 algebric fractions
Answer:
-9x-8/4
Step-by-step explanation:
What is the radius and diameter of the following circle?
Answer:
radius=7.5, diameter=13
Step-by-step explanation:
diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter
help meee plssssssss
Answer:
A) Triangle PQR
Step-by-step explanation:
This is the correct triangle because it has the exact same measurements as Triangle ABC. Angles A and P are the same angle on the triangles and they have the same measure (70). Angles C and R are the same angle on the triangles and they have the same measure (75). To solve for Angle C in Triangle ABC though, add angles 70 + 35 together to get 105. A triangle has a total measure of 180, so subtract 180 - 105 to get 75.
Hope it helps!
I don’t really understand could you help
Answer:
M: (-7, -3)
A: (0, -3)
T: (0, -8)
Step-by-step explanation:
each of the points are associated with a letter. you can find the points by looking at the points it matches up with in the formatting of (x,y)
for example, for M, you can see that the dot on the x axis seems to be hovering below -7, on the y axis, it seems to be hovering next to -3. therefore, its (-7,-3)
helppppppppppppppppppppppppp
Answer:
The value of f(2) is -9.
Step-by-step explanation:
You look for the x axis and count 2, then go down until you reach the line.
Plz mark me as Brainliest plz
PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Hope it be correct.
PLS HELP WITH THIS MATH
PLEASE HELP URGENT
Hank's age is 5 more than three times John's age. Hank
is 29 years old. How old is John?
Can anyone help me please
I’ll mark brainliest.
Answer:
1. his account will be 120
2. 6 weeks
3. Yes, Lala will get 120 in 4 weeks while Andra will get 100
If you wanted to know Andra equation will be y=20x+20
Step-by-step explanation:
Hope this helped
Rewrite as a simplified fraction.
0.6 i need it quick plz and thank you
Answer:
3/5
Step-by-step explanation:
0.6 = 6/10 = 3/5
Help me please answer all thanks
Answer:
the coordinates are (3,3)
Step-by-step explanation:
hope I helped!!
Solve for angle b and c
Answer:
46 degrees for both b and c
Step-by-step explanation:
the vertical angles postulate means that the opposite angle must be the same, so 134*2=268
since all angles must be 360, subtract 268, which is 92
using the vertical angles again, b and c are the same, and the sum must be 92
92 divided by 2 is 46
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
5/6 + 9.25
A) Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.
B) Irrational; Both numbers can be written as fractions, so the answer will be a fraction, which is an irrational number.
C) Rational; One number is a fraction and the other is a decimal, so they are not like terms and cannot be combined.
Answer:A
Step-by-step explanation:
Edge 2020
On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.
Complete Question
On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.
Answer:
15 miles
Step-by-step explanation:
From the above question,
3 inches = 90 miles
1/2 inch = x miles
Cross Multiply
3 inches × x miles = 90 miles × 1/2 inch
x miles = 90 miles × 1/2 inch/3 inches
x miles = 15 miles
Therefore, a measure of 1/2 inch on the map would represent 15 miles
HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?
Answer:
(8x² + 10x -4) pages
Step-by-step explanation:
2x² + 5x – 3 + 5x – 3 + 6x²+ 2
2x² +6x² +5x +5x -3-3+2
8x² + 10x -4
Please help me please with math!
Answer: Slope = -32
Explanation:
The given equation is in y = mx+b form
m = -32 is the slope
b = -9/38 is the y intercept
Answer:
slope: -32
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Slope: − 32
y-intercept: ( 0 , − 9/ 38 )
what is 146 / pi as a fraction
Answer:
Step-by-step explanation:
[tex]\frac{146}{\pi}\\ \\ \text{Pi is irrational and cannot be expressed as a ratio of two integers.}\\ \\ \frac{146}{\pi}\approx 46.47[/tex]
TIMED!!
PLEASE HELP!!
WILL give brainliest
Answer:
easy third one also plz give heart
Step-by-step explanation:
i just know
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3
I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.
someone write down the answers please i need it!!
It’s sad when I help people because they don’t do the same thing to so please please please... answer me once :((((((((((((((((((((((((((((((((((((((((((((((
Answer:
Where is the question????????
Friend
What's your question, my friend?
Alvin is 15 years older than Elga. The sum of their ages is 77. What is Elga's age?
Answer: I think that it is 62
Step-by-step explanation:
77 minus 15= 62
tell me if its right.
hope this helps
a(9b+13) in expanded form
Somebody plss (kinda easy tho)
Answer:
74 pesos
Step-by-step explanation:
Let us assume the one peso coins be x
so, number of five peso would be x + 4
And, the total coins is 22
Now the equation is
x + x + 4 = 22
2x + 4 = 22
2x = 22 - 4
2x = 18
x = 9
Five peso coins is 9 + 4 = 13
Now
= 9(1) + 13(5)
= 9 + 65
= 74 pesos
Here is an inequality: -x > 18. List some values for x that would make this inequality true.
Answer:
some examples x could equal:
x = -19
x = -20
x = -50
x = -100
so on
Step-by-step explanation:
remember negative x negative = positive
so any negative value beneath -18 will satisfy this because it will turn positive when multiplied by that outer minus sign.
hope this helped
I do not understand this at all
Answer:
2s+3b=154
s=2b
solving: s= 44, b= 22
Step-by-step explanation:
s=number of sundaes sold
b=number of banana splits sold
2s+3b=154
s=2b
to solve:
substitute s=2b into the first equation
2(2b)+3b=154
4b+3b=154
7b=154
divide both sides by 7
7b/7=154/7
b=22
s=44
