F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer: [tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given
Function is [tex]f(x)=mx+b[/tex]
[tex]f(-2)=3[/tex]
[tex]\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)[/tex]
[tex]f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)[/tex]
from (i) and (ii) we get
[tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)
Answer:
[tex]P(C\ or\ D) = 1[/tex]
Step-by-step explanation:
Given
[tex]P(C) = \frac{3}{7}[/tex]
[tex]P(D) = \frac{4}{7}[/tex]
Required
[tex]P(C\ or\ D)[/tex]
Since the events are mutually exclusive, then:
[tex]P(C\ or\ D) = P(C) + P(D)[/tex]
So, we have:
[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]
Take LCM
[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]
[tex]P(C\ or\ D) = \frac{7}{7}[/tex]
[tex]P(C\ or\ D) = 1[/tex]
The table shows Annabeth’s scores on her math assignments. Find the mean.
Answer:
90.35
Step-by-step explanation:
its on envisions
8-2 quiz
Find the slope of the line that contains the points (6, 5) and (8,7)
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is
y¹-y²
-----
x¹-x²
y¹ and x¹ can be either of the points.
So let's make it (6,5)
This means that y² and x² will be (8,7)
The equation will be
5-7d -2
----- = ---
6-8 -2
which can be simplified to 1 by divied both by -2
Find the least common multiple (LCM) for the pair of numbers 6 and 18
Answer:
the lcm is 6
Step-by-step explanation:
6 divided by 3 is 1
18 divided by 3 is 6
6 becomes 3 and 2
Answer:
18
Step-by-step explanation:
Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM
Squares are Rhombus but not rectangles true or false
Answer:
True
Step-by-step explanation:
Rhombus is a sideways SQUARE
Answer: True
if you turn a square 45 degrees to the side it is a rhombus
I need help with this lol
Answer:
1350
Step-by-step explanation:
multiply
I need help
Please hurry
Answer:
x=81
Step-by-step explanation:
all triangles = 180 degrees
180 - 18 = 162
162/2 = 81
81 is your answer
Answer:
81 Degrees
Step-by-step explanation:
These are the same number which means all you have to do is remember that triangles are 180 degrees total and subtract out the 18 and you get 162 which you then divide by 2.
if an angle measures 18° what is the measure of its complement
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
Complement Angle = 90°= 90 - 18
= 72
--> 72° is the complement angle of 18°
Hope it helps!
mark me brainliest pls.....
Follow me!
which table shows a relationship between the values of x and y that represents a linear function?
What is 5 to the second power plus 4
Answer:
29
Step-by-step explanation:
5^2 = 25
25 + 4 = 29
In the figure, Line a is parallel to line b. Name the angles congruent to angle 3.
helppp it’s due today
Choose the best response
Answer:no
Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd
The diameter of the colosseum is about 167 meters. Therefore the circumference of the colosseum is
Answer:
C≈524.65m
Solving for C
C=πd=π·167≈524.64597m
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!! :((
What is the solution to this equation?
2X + 10=28
Answer:
x = 9
Step-by-step explanation:
2X + 10=28
Subtract 10 from each side
2X + 10-10=28-10
2X = 18
Divide each side by 2
2X/2 = 18/2
x = 9
Answer:
X=9
Step-by-step explanation:
28-10=18
2 x 9= 18
To the nearest tenth of a second, how long will it take the arrow to hit the ground?
Answer:
0.6
Step-by-step explanation:
tell weather the ordered pair is a solution of the equation y=7x;(2,21)
Answer:
3,21 is
2,21 is not a proper ordered pair.
Step-by-step explanation:
Remark
It's not a solution
You can either use the x value to find out the proper y value
or
You can use the y value to find out the proper x value
Proper y value
Let x = 2
y = 7*2
y = 14
So the proper y value given that x = 2 is 14.
Proper x value
Let y = 21
21 = 7x Divide both sides by 7
21/7 = 7x/7
3 = x
But (2,21) is not a solution. (3,21) is.
Find the common ratio of the geometric sequence. You must write r=
7640, 764, 76.4, 7.64,
Answer:
1/10 is the common ratio
simplified is 0.1
mark me brainilest:)
Help fast plz !!!!!!!!!!!
small....you can use random samples to obtain a small representation of populations that are too large to survey
who can help me please
9514 1404 393
Explanation:
Statement .... Reason
( ) .... Given (repeat of the given statements)
ΔACB ≅ ΔDCE .... SAS postulate
BA ≅ ED .... corresponding parts of congruent triangles are congruent
HELP PLEASE IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
If I did this right the perimeter is 83.7 and the area is 257.1
Explanation:
the perimeter is all sides added so 15+8+8+6.7+20+26 = 83.7
To make adding the area easier, we would separate it into different shapes.
Area of a Triangle: (b x h)/2
(15x9)/2 = 45 since it's a triangle
8x9 = 72
20x6 = 120
(6x6.7)/2 = 20.1 since it's also a triangle
45 + 72 + 120 + 20.1 = 257.1
5/6 plus blank equals to 5/2
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
let blank be O
[tex]\frac{5}{6} +O=\frac{5}{2} \\[/tex]
[tex]O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}[/tex]
1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
Is this a function? please explain if possible.
Answer:
Yes, it is a function.
Step-by-step explanation:
A function is a relation where each x-value (input value) has exactly one y-value (output value) that is related to it or mapped to it. In order words, in a function, an input value can only have one output value.
Thus, the relation represented by the table of values above is a function because every x-value (input value) has exactly one y-value (output value).
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Help please I’ll give the brainliest
Answer:
Step-by-step explanation:
a)
5.75x + 3.25y ≤ 625
b)
55 youth shirts
5.75x + 3.25 (55) ≤ 625
5.75x + 178.75 ≤ 625
5.75x ≤ 446.25
x ≤ 77.6086....
so 77 adult t-shirts
There are 920 calories in 5 servings. Find the unit rate.
Answer:
184
Step-by-step explanation:
920 divided by 5 is 184 which makes it unit rate