Answer:
(c). 17
Step-by-step explanation:
f(g(x)) = 3( - 2x + 1 ) + 2 = - 6x + 5
f(g(- 2)) = - 6( - 2 ) + 5 = 17
In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.
Answer:
26.
Step-by-step explanation:
Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12
Now, AD= CD
or, 6x+10=2x+12
or, 6x-2x= 12-10
or, 4x= 2
or, x= 1/2
So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.
So, 6x+10+2x+12= AC
or, 8x+22= AC
or, 8 X (1/2) + 22= AC
or, 4+22 = AC
or, AC= 26.=
Could anyone give a hand?
Answer: 73.5
first you work out the total area of this shape.
area: 105
this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.
then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.
you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!
WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT
Answer:
lies you wont give brainliest
Step-by-step explanation:
40% as fraction and decimal
Answer:
40% as a decimal is 0.4
40% as a fraction is 2/5
Step-by-step explanation:
Let's go over each of these step by step.
First, let's see 40% as a fraction.
Since 40% is out of 100%, we can rewrite that as 40/100.
If you want to simplify it, let's do the following.
40/100
Divide both sides by 20, and you'll end up with:
2/5.
Now, let's do 40% as a decimal.
This is pretty simple.
40% is 40/100 as said before, and to find it as a decimal,
let's divide 40 and 100.
40 divided by 20 = 0.4
Therefore, we can conclude the following:
40% as a fraction is 40/100, or 2/5.
40% as a decimal is 0.4
Hope this helped! :)
Which of the following could be the perimeters of the three squares below?
A 12ft, 16 ft and 20 ft
B 20 ft, 16 ft and 24 ft
C) 40 ft, 80 ft and 120 ft
D 16 ft, 24 ft and 28 ft
Answer:
Option (A)
Step-by-step explanation:
Option (A).
Since, perimeter of a square = 4×(side)
Perimeters of 3 squares = 12 ft, 16 ft and 20 ft
Side lengths of three squares will be = [tex]\frac{12}{4}, \frac{16}{4},\frac{20}{4}[/tex]
= 3 ft, 4 ft and 5 ft
If these sides are the measures of the sides of the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
5² = 4² + 3²
25 = 16 + 9
25 = 25
True.
Therefore, these are the sides of the given right triangle.
Option (B).
Perimeters of three squares are 20 ft, 16 ft and 24 ft.
Sides lengths of three squares = [tex]\frac{20}{4},\frac{16}{4}, \frac{24}{4}[/tex]
= 5 ft, 4 ft and 6 ft
By Pythagoras theorem,
6² = 4² + 5²
36 = 61
False.
Therefore, these sides are not of the given right triangle.
Option (C)
Perimeters of the squares = 40 ft, 80 ft and 120 ft
Side lengths of the squares = 10 ft, 20 ft and 30 ft
If these sides are the sides of the given right triangle, they will follow the Pythagoras theorem.
By Pythagoras theorem,
(30)² = (10)² + (20)²
900 = 500
False.
Option (D)
Perimeters of the given squares are 16 ft, 24 ft and 28 ft.
Side lengths of these squares will be 4 ft, 6 ft and 7 ft.
If these sides form a right triangle they will follow the Pythagoras theorem.
By Pythagoras theorem,
7² = 4² + 6²
49 = 16 + 36
49 = 52
False.
Therefore, these are not the sides of a right triangle.
Option (A) will be the answer.
Is (2, 10) a solution to this system of inequalities? y 7 X 1 y > 4x + 2
yes it is, 700 is greater than 10.
ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?
Answer:
yStep-by-step explanation:
As the standard deviation of outcomes for Martin Products increases, investing in Martin Products becomes riskier because:__________a. the range of outcomes having some probability becomes widerb. an outcome at or near the expected return of 10% becomes less likelyc. although the chances of some big gains increase, the chances for some big losses also increase.d. all of the above reasonse. none of the above reasons
Answer:
c. although the chances of some big gains increase, the chances for some big losses also increase.
Step-by-step explanation:
In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.
Answer:
d. all the reasons above
Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)
Answer:
[tex]m=\frac{4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (1, -3)
Point (-4, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract: [tex]m=\frac{-4}{-5}[/tex]Simplify: [tex]m=\frac{4}{5}[/tex]Finding the area, any help?
Answer:
Volume: x^6
Area: 6x^4
Step-by-step explanation:
volume: length x width x height
area: 6 sides of x^4 so 6x^4
a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?
Given:
Length of the rectangle = [tex]x^3y^4[/tex] inches
Width of the rectangle = [tex]xy^7[/tex] inches
To find:
The ratio of the length of the rectangle to width of the rectangle.
Solution:
We have,
Length = [tex]x^3y^4[/tex] inches
Width = [tex]xy^7[/tex] inches
So, the ratio of the length of the rectangle to width of the rectangle is
[tex]Ratio=\dfrac{Length}{width}[/tex]
[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]
[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]
Cancel out the common factors.
[tex]Ratio=\dfrac{x^2}{y^3}[/tex]
[tex]Ratio=x^2:y^3[/tex]
Therefore, the required ratio is [tex]x^2:y^3[/tex].
Miranda found 4 pieces of an ancient ceramic bowl. What fraction of the bowl is missing
how I'm supposed to answer this
Answer:
we need the total pieces
Step-by-step explanation:
how many pieces of the ancient ceramic bowl are there
4 pieces out of what?
we need the total pieces
how many 1/4 cup servings are there in 3/8 cup peanut butter?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 i think
Step-by-step explanation:
1/4:2/8 so it would be 1/4 and 1/8 or 1.5
What is the answer to 5256÷52
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ANSWERRRRRRRRRRRRRRRRRRRR FASTTTTTTTTTTTTTTTTTT WILL GIVE BRAINLIST. PLEASEEEEEEEEEEEE
Write the function as a sum of partial fractions. Do not determine the numerical values of the coefficients.(a) x/x^2+xâ2(b) 6âx/x^2â3xâ54
The correct equations in the question are:
(a) [tex]\dfrac{x}{x^2+x-2}[/tex] (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
Answer:
Step-by-step explanation:
From above:
a) [tex]\dfrac{x}{x^2+x-2}[/tex]
We are to find the roots of the quadratic equation at the denominator.
i.e.
x²+x-2 = x² + 2x - x - 2
= x(x+2) - 1(x+2)
= (x -1 ) (x + 2)
Thus;
[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]
b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3
x²-3x -54 = x² - 9x +6x - 54
= x(x-9) + 6(x-9)
= (x + 6) (x - 9)
[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]
What is the slope of the line?
Answer:
slope = 7/4
Step-by-step explanation:
slope is found by figuring the change in y-values over the change in x-values. Look for points on the line that go through an intersection of the graph lines exactly. I found the points (3, 4) and (-1, -3)
difference of y/difference of x = 4-(-3) / 3-(-1) = 7/4
Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1)
Answer: y+1 = 5(x-1)
Step-by-step explanation:
help me please.........
Answer:
1. true 2. true 3.true 4. false 5. false
Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4
Pls solve 30 points math
Answer:
(6,0)
Step-by-step explanation:
Combine like terms: 4 - 3m - 1 + 2m
Answer:
-m+3
Step-by-step explanation:
4 - 3m - 1 + 2m
4-1-m
-m+3
What is 1/3 of 4/5?
Answer:
0.26
is the answer
HOPEFULLY MY LAST ONE!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/3
Step-by-step explanation:
Rise/run
10/30
I hope this is right and that it helps.
25) (1,-5) parallel to y = - 10x - 3
An internet site sells 75 feature type cell phones. The ratio of the number of smartphones to the number of feature phones is 3:5. How many cell phones are smart phones?
Does the graph represent a function? Why or why not?
10-
-10
10
-10-
O A. No, because it fails the vertical line test.
B. No, because it fails the horizontal line test.
O C. Yes, because it passes the vertical line test.
O D. Yes, because it passes the horizontal line test.
Answer:
no because it fails the vertical line test
A 115-inch is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
Answer:
Shorter piece: 23 inches
Longer piece: 92 inches.
Step-by-step explanation:
Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.
2. Melissa estimated that she would read 250 pages
last week. She read 290 pages. What is the
percent error of Melissa's estimate? Round to
the nearest whole percent.
I will give brainliest!!!
Answer:
Is it 11.6%?
Step-by-step explanation:
I divided 290/250
Which algebraic expression represents “Sarah has fives times as much homework today as yesterday”?
5 + h
5 h
h minus 5
StartFraction h Over 5 EndFraction
Answer:5h
Step-by-step explanation: i just did the quiz
help please with #3
Answer: x = 2a over b + c
Step-by-step explanation:
1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx
2) Since both b and c have x’s, we turn it into (b + c)x
3. Then divide both sides by b+c to get 2a over b + c = x