Answer:
B
Step-by-step explanation:
The answer is b. substitution property
For f (x) = 3x +1 and g(x) = x2 - 6, find (ff + g)(x).
Given:
The two functions are
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
To find:
The function (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the values of given functions, we get
[tex](f+g)(x)=3x+1+x^2-6[/tex]
[tex](f+g)(x)=x^2+3x+(1-6)[/tex]
[tex](f+g)(x)=x^2+3x-5[/tex]
Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].
Find the slope of 8y-2x=10
Answer:
1/4
Step-by-step explanation:
8y=+2x+10
Divide by 8
y=2/8x+10
Y=1/4x+10
y=mx+b
M= slope
Can someone answer this ASAP PLEASE!
PLEASE HELP I WILL MARK BRAINLEIST
The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?
160 mm
25 mm
1 mm
800 mm
Answer:
25 mm
Step-by-step explanation:
Set up a proportion where x is the number of millimeters for 160 kilometers
[tex]\frac{5}{32}[/tex] = [tex]\frac{x}{160}[/tex]
Cross multiply and solve for x:
32x = 800
x = 25
So, 25 millimeters represent 160 kilometers
Answer:
25 mm
Step-by-step explanation:
I hope I helped :)
rectangle j is 6 feet wide and 9 feet long rectangle K is 9 feet wide and 12 feet long are the rectangle similar explain
Answer:
NO, they are not similar.
Step-by-step explanation:
Width of rectangle J = 6 ft
Length of rectangle J = 9 ft
Width of rectangle K = 9 ft
Length of rectangle K = 12 ft
Find the ratio of their corresponding dimensions:
Ratio of their width = 6/9 = 2/3
Ratio of the length = 9/12 = 3/4
Their ratio of their corresponding dimensions are not equal. That is, their corresponding dimensions are not proportional to each other. Therefore, they are not similar.
help as soon as possible
Answer:
x=20°
y=75°
Step-by-step explanation:
2y + 3x-10= 180 (angles on a straight line add to 180)
3x-10+5x+30=180 (corresponding angles on parallel lines are equal, angles on a straight line add to 180)
solve both equations and you get the answer :)
An economics professor gave her class two tests. 25% of the class passed both tests, and 48% of the class passed the first test. What percent of those who passed the first test also passed the second test? (Round to four decimal places)
9514 1404 393
Answer:
52.0833%
Step-by-step explanation:
The conditional probability formula applies.
P(2|1) = P(2&1)/P(1)
P(2|1) = 0.25/0.48 ≈ 0.520833
About 52.0833% of those who passed the first test also passed the second.
_____
Comment on wording
As a fraction rounded to 4 decimal places, the value would be 0.5208 or 52.08%. This seems to ask for the percentage to be rounded to 4 decimal places, so it is 52.0833%.
London's family took a road trip to the Grand Canyon. London fell asleep 61% of the way through the trip. If London fell asleep after they had travelled 305 miles, what was the total length of the trip?
Answer: 782.05 miles.
Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.
London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be
0.39 ---- 305 miles
1 ----- x
[tex]x=\frac{305}{0.39}[/tex]
x = 782.05
The total length of the trip was 782.05 miles.
Answer: 500
Step-by-step explanation:
graph the line with the slope 3 passing through the point (2,-1)
Answer:
I can't draw at the moment but I'll try to teach how as best as I could.
Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?
Answer:
Profundidad 1= 15,5 metros
Profundidad 2= 15,5 metros
Frente 1= 7,5 metros
Frente 2= 7,5 metros
Step-by-step explanation:
Suma todo y da 46 metros que es la medida de la cerca.
resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.
:)
d = 60ℎ + 20
car A is traveling from San Francisco. The distance in miles from San Francisco after H hours spent driving is described for the car below .
Answer:
22.78hr
Step-by-step explanation:
the car is moving so fast
This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?
If L // M find the value of X. provide step by step explanation please
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
Choose the explanation that shows why ΔADE is similar to ΔABC.
A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.
-8-(-13) simplified
Answer:
5
Step-by-step explanation:
-8-(-13)
you can cross out any 2 minuses, leaving you with
-8+13
and plus and minus make minus, so
13-8
leaves you with your answer, which is 5!
Which of the following options 70
Increase £19060 by 9%
Answer in 2DP
5. A basketball team played a total of 154 games last season. The number of games won, W,
and the number of games lost, L, are represented by the equation W=154-L.
What quantity does the independent variable represent?
What quantity does the dependent variable represent?
Answer:
The team won 110 games and lost 44 games.
Step-by-step explanation:
The regular price of a camera is $180.00. The camera is on sale for 25% off the regular price.
What is the sale price of the camera in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135
Michael buys some items at a grocery store.
Answer:
B
Step-by-step explanation:
It's b my correct answer is b
solve for m : -5m + 14 = 9
wdgsvwrshgsgcAnswer:
Step-by-step explanation:
sadgsd
Sam mixes 8 cups of cereal, 4 cups of pretzels, and 3 cups of nuts to
make a snack mix. How many 1/3-cup servings can he sell at a bake
sale? Write the equations needed to solve the problem. Then solve.
Answer:
45 1/3 cups
Step-by-step explanation:
Let's solve your problem step by step.
It says that Sam has 8 cups of cereal, 4 cups of pretzels, an 3 cups of nuts.
Add all the amount of food together.
8 + 4 + 3 = 15 cups
That was the first equation. (Hint.)
The next equation is:
15 ÷ 1/3= 45
Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?
Answer:6 inches
Step-by-step explanation:
11inch=33 cents
1 cent can buy 11/33= 1/3 inches
18 cents can buy 18 * 1/3 = 6 inches
Answer:
6in. = 18 cents
Step-by-step explanation:
1. Find out how many inches it costs for one inch ( 33/11 = 3)
2. divide 18 by 3 and get 6.
Find an equation for the line that passes through the points (5,-5) and (-1, 4)
Answer:
y = mx + b, so
y = -0.53x + 1.5
Step-by-step explanation:
1. Find the slope of the line. In his case, then the slope is [tex]\frac{-6}{9}[/tex], which converts to 0.53
2. Start part of the equation. y = -0.53 x
3. Find the y-intercept of the line. In this case, it is 1.5
4. Now, you can finish your equation. y = -0.53x + 1.5
The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?
х
-3
-1
1
4
8
10
y
14
10
6
0
?
-12
Answer:
-8
Step-by-step explanation:
for this, all you need to do is plug 8 into x for the equation y=8-2x
y=8-2(8)
y=8-16
y=-8
The value of y when x = 8 is,
⇒ y = - 8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The table shows ordered pairs of the function as,
⇒ y = 8 - 2x
Now, At x = 8
The value of y is,
⇒ y = 8 - 2x
⇒ y = 8 - 2 × 8
⇒ y = 8 - 16
⇒ y = - 8
Thus, The value of y when x = 8 is,
⇒ y = - 8
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
What 28 over 3 as a mixed number
Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples?
Answer:
he will need 8 baskets or 7.3
Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?
Answer:
A on Edge 2021 ;))
Step-by-step explanation:
All terms of the expansion are positive.
The true statement is all terms of the expansion are positive.
What are binomial expansions?Binomial expansions are expansions of expressions that have two terms
The expression is given as:
[tex](a - b)^n[/tex]
This means that the expression (a - b) is to be multiplied by itself, n times.
Hence, all terms of the expansion are positive.
Read more about binomial expansions at:
https://brainly.com/question/11014243
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
Answer:
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
I want to know only this question because I am not also so so I tell me