Answer:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
Step-by-step explanation:
First, lets understand what (f+g)(x) means.
(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).
So, this is what the equation looks like when you substitute the functions in to (f+g)(x):
(f+g)(x) = [tex](2x^{2} +1) + (x^{2} -7)[/tex]
Now, combine like terms and Simplify:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
This is your final answer.
If Ms. Little has 4 pizzas and 10 friends, how much pizza would each friend get?
Answer:
2.5 of the pizza
Step-by-step explanation:
Plz give brainliest
Itz the crown under this answer
Answer:
2.5 slices
Step-by-step explanation:
You do 10 ÷ 4 and that equals 2.5
what percent is 346 of 385?
For what value of the constant c is the following function continuous at x = −7?
Answer:
the answer will be x=_7
What are the solutions of 2x2 + 16x + 50 = 0?
−4 ± i
−4 ± 3i
−2 ± 4i
−3 ± 4i
Answer:
-3 plus or minus 4i (the last one)
Step-by-step explanation:
Find the area of the triangle be sure to include the correct unit in your answer
Answer:
120 cm squared
Step-by-step explanation:
[tex]Area \:of \:the\: triangle \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 24 \\ \\ = 12 \times 10 \\ \\ = 120 \: {cm}^{2} [/tex]
Answer:
(10×24)÷2 = 120cm²
Step-by-step explanation:
A die with 7 sides is rolled once. What is the probability that the upward face shows a 6?
The probability of the die rolling a 6 is '1 in 7' or 14% as there are 7 sides all with an equal chance of landing on that number.
Hope this helps!
Amy purchased several items at the grocery store: a gallon of milk for $3.49, a loaf of break for $2.19, d.
dozen eggs for $1.89, and a pound of coffee for $7.45. She lives in Florida, where there is no sales tax
on food. If Amy hands the cashier a $50-bill, how much change should she receive?
$35.02
o $34.94
$35.04
$34.98
Answer:
D) 34.98
Step-by-step explanation:
Raisa’s office is on the sixth floor of a building. From her office, she took the elevator down eight floors to the parking garage. Which number represents the distance and direction of her trip from the parking garage to the ground floor of the building?
Answer:
8
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
From her office to the parking floor is 8 steps down . 5 4 3 2 1, 0 , -1 ,-2
Ground level is 0 so from -2 to zero is -2 which absolute value is always positive so -2 turn into 2
there are 450 children in a school, to the nearest 10. How many children could there be ?
Answer: 450- the answer is already rounded.
Answer:
Anywhere from 446 to 454 children.
446 rounded to nearest ten is 450.
447 rounded to nearest ten is 450.
448 rounded to nearest ten is 450.
449 rounded to nearest ten is 450.
450 rounded to nearest ten is 450.
451 rounded to nearest ten is 450.
452 rounded to nearest ten is 450.
453 rounded to nearest ten is 450.
454 rounded to nearest ten is 450.
So the answer is 446 - 454 children. Hope it helps!
b. You have been offered an entry-level position as an account with a starting salary of $47,500. Do you think this is a fair salary offer? Why
or why not?
Help!!!!!!!!!!!!!!!!!
HELP PLEASE!! ILL MARK BRAINIEST FOR THE CORRECT ANSWER
The Transportation Department is planning a new section of interstate highway. For planning purposes, they are using a diagram with a scale 0.5 in : 10 mi. If the diagram shows the highway section to be 37 inches long, how long will the road actually be?
Answer:
The answer is 740.
Step-by-step explanation:
10/0.5 = 20
37*20=740
Expand and combine like terms. (7b^5-4b)(7b^5+4b)=
Answer:
49b^10 -16b^2
Step-by-step explanation:
(7b^5)^2 -(4b)^2=
49b^10 - (4b)^2=
49b^10 - 16b^2
The given expression is equivalent to 49b¹⁰ - 16b².
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
(7b⁵ - 4b) (7b⁵ + 4b)
We have to expand this.
(7b⁵ - 4b) (7b⁵ + 4b) = (7b⁵ × 7b⁵) - (4b × 7b⁵) + (4b × 7b⁵) - (4b × 4b)
= 49b¹⁰ - 28b⁶ + 28b⁶ - 16b²
= 49b¹⁰ - 16b²
Hence the given expression is equivalent to 49b¹⁰ - 16b².
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A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 208
cents. How many coins of each type does the purse contain?
Please help.
Answer:
x= 14
Step-by-step explanation:
x + 5x +10x = 224 CENTS
solving for x
16x = 224
x = 14, the number of each coin there is
Select the correct answer. Ronnie took a survey of eight of his classmates about the number of siblings they have and the number of pets they have. A table of his results is below.
Answer:
B a relation
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
264 divided by 8. Check Time 8
Answer:
33.
Step-by-step explanation:
What does the check time part mean?
If a ⊥ y and x ∥ y, then _____
x ⊥ a.
x ∥ z.
a ∥ b.
a ⊥ z.
Answer:
A⊥X
Since
A is perpendicular to Y
A⊥YAnd, X is parallel to Y
X || Y
That implies that A must be also perpendicular to X
A⊥X
Which means that they have the same slope (same inclination)
Step-by-step explanation:
Answer:
x bisects a
Step-by-step explanation:
since a bisects y and x is parallel to y then x bisects a
Use the given information to determine which lines, if any , are parallel
<8 is supplementary to <12
Answer:
both are parrallel lines
in a standard deck of t2 playing cards, there are 4 aces, 4 kings, 4 queens, and 4 Jacks. All other cards have number values. the kings, queens, and Jack's are called face cards. You are dealt 2 cards in sequence. Calculate the probability of being dealt 2 face cards. write your answer as a decimal to the nearest hundredth
=======================================================
Explanation:
There are 12 face cards (4 kings+4 queens + 4 jacks) out of 52 total.
The probability of getting one face card is 12/52 = 3/13
After a face card is dealt, we have 12-1 = 11 face cards left out of 52-1 = 51 total. The probability of getting another face card is 11/51.
Multiply the fractions found. Use a calculator.
(3/13)*(11/51) = 0.04977
This rounds to 0.05 when rounding to two decimal places (nearest hundredth)
Note: this assumes you do not put the first card back or replace the first card with an equivalent card.
The function h is defined by the following rule.
h(x) = 2x-3
Complete the function table.
х
4
0
- 2
2
3
5
ILL MARK BRAINLIEST !!!!!
which system of linear inequalities is represented by the graph?
a) y ≥ 1/3x + 3 and 3x - y > 2
b) y ≥ 1/3x + 3 and 3x - y > 2
c) y ≥ 1/3x + 3 and 3x + y > 2
d) y ≥ 1/3x + 3 and 2x - y > 2
Answer:
A and B look identical, so perhaps there was a typo?
The equations are:
[tex]y\geq1/3x+3[/tex]
[tex]3x-y>2[/tex]
Step-by-step explanation:
To find the system of linear inequalities represented by the graph, we need to find the equation of each line.
Red Line:
To find the equation of the red line, we need to first find the slope and the y-intercept.
Let's pick two points from the red line. We can use (0, 3) and (3, 4).
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 3) be (x₁, y₁) and let's let (3, 4) be (x₂, y₂). So, our slope is:
[tex]m=\frac{4-3}{3-0}[/tex]
Subtract:
[tex]m=1/3[/tex]
So, our slope is 1/3.
Note that (0,3) is also our y-intercept. So, our y-intercept is y=3.
Now, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Substitute 1/3 for m and 3 for b. This yields:
[tex]y=1/3x+3[/tex]
Now, we need to determine which sign to use.
Note that the red line is not dotted, meaning we need "or equal to."
Also, note that the shaded region is above our line. In other words, y must be greater than our equation.
So, our sign is "greater than or equal to."
This, the red inequality is represented by the equation:
[tex]y\geq1/3x+3[/tex]
Blue Line:
Again, let's first find the slope and the y-intercept.
We can use the points (0, -2) and (1,1). Let (0,-2) be (x₁, y₁) and let's let (1, 1) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{1-(-2)}{1-0}[/tex]
Evaluate:
[tex]m=3/1=3[/tex]
So, our slope is 3.
(0, -2) is also our y-intercept. So, our y-intercept is y=-2.
Again, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Substitute 3 for m and -2 for b:
[tex]y=3x-2[/tex]
Now, we need to find our inequality sign.
Notice that the line is dotted. So, we won't have any "or equal to."
Also, notice that our shaded region is below our line. Thus, y is less than our equation. Therefore:
[tex]y<3x-2[/tex]
However, all of our choices are in standard form. So, we need to convert this to standard form.
To do so, subtract 3x from both sides:
[tex]-3x+y<-2[/tex]
The first term is traditionally positive. So, multiply both sides by -1. Since we're multiplying by a negative, flip the inequality sign:
[tex]3x-y>2[/tex]
We can see that the answer choice that matches this is A (or B?)
And we're done!
Answer: A and B are identical so pick one of them
Step-by-step explanation:
5 The cost of an adult's ticket into a theme park is $a.
The cost of a child's ticket into the same theme park is $c.
Write an expression for the total cost for each groun.
Answer:
Total Cost (in dollars) = a + c
Step-by-step explanation:
Algebra
When mathematics quantities are generalized into letters or variables, then we are dealing with algebra.
We are said the cost of an adult's ticket into a theme park is $a and a child's ticket costs $c. Since both quantities are unknown, we must treat them as variables and use the same logic procedure to solve the problem as if they were numbers.
The total cost for an adult and a child is the sum of both individual costs, thus
Total Cost (in dollars) = a + c
-2 (-x + 4) + 4x - 3 = 31
Answer:
The value of x is 7.
Step-by-step explanation:
First, you have to expand the brackets and then, solve it :
[tex] - 2( - x + 4) + 4x = 31[/tex]
[tex]2x - 8 + 4x - 3 = 31[/tex]
[tex]6x - 11 = 31[/tex]
[tex]6x = 31 + 11[/tex]
[tex]6x = 42[/tex]
[tex]x = 42 \div 6[/tex]
[tex]x = 7[/tex]
Today, Petland sold 5 times as
many cats as dogs. If a total of
48 cats and dogs were sold, how
many dogs were sold?
Answer:
8 dogs
Step-by-step explanation:
Petland sold 5 times as many cats as dogs
A total of 48 cats and dogs were sold
Let c represent the number of cats sold
Let d represent the number of dogs sold
c + d= 48..........equation 1
Since 5 times as many cats as dogs were sold
c= 5d
Substitute 5d for c in equation 1
5d + d= 48
6d= 48
Divide both sides by the coefficient of d which is 6
6d/6 = 48/6
d= 8
Hence 8 dogs were sold
A student was given lines m and n and was asked to construct a line parallel to n through point B. The illustration shows the initial condition and the student’s partially finished construction. All of the arcs in the illustration were constructed with the compass set at the same setting. Which step should the student perform next to complete the construction?
A. Construct an arc with center E crossing the other arc with center B.
B. Construct an arc with center C crossing the arc with center B.
C. Reset the compass to the distance BE.
D. Reset the compass to the distance CD.
Answer:
Reset the compass to CD is the correct anwser
Step-by-step explanation:
Parallel lines are simply lines that do not meet.
The step the student should perform next is (d) Reset the compass to CD
The steps in drawing a parallel line through a point, involves copying an angle from its original position to the parallel line that is to be drawn.
From the given figure, the angle to be copied is [tex]\angle DAC[/tex].
The student must set the compass at the endpoints of arc DC to get the measure of [tex]\angle DAC[/tex].
The endpoints of arc DC are points D and C
Hence, the next step to be taken by the student is option (c).
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Amanda buys 4 tickets to a baseball game for $24. Which equation shows the closest estimate of the total amount Amanda spent?
Amanda spent 6 dollars for each ticket for a baseball game.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Total money spent = $24
Number of the tickets = 4
SO cost of each ticket will be:-
Cost = 24 / 4 =6
Therefore Amanda spent 6 dollars for each ticket for a baseball game.
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kaisa hai re baba translate this in English
Answer:
Caesar also messed with dad
Step-by-step explanation:
Google translate
4. Financial Literacy means to have the ability to understand how money works. *
True
False
Answer:
True
Step-by-step explanation:
The definition of Financial Literacy is:Financial literacy is the possession of the set of skills and knowledge that allows an individual to make informed and effective decisions with all of their financial resources.
Solve the inequality:
||x−3|−2|≤1
Answer:
Step-by-step explanation:
||x-3|-2|≤ 1
-1≤|x-3|-2≤1
-1+2≤|x-3|≤1+2
1≤|x-3|≤2
we break in two parts.
|x-3|≥1
so x-3≤-1
x≤3-1
x≤2 ...(1)
or x-3≥1
x≥4 ...(2)
|x-3|≤2
-2≤x-3≤2
-2+3≤x≤2+3
1≤x≤5 ...(3)
combining all three
1≤x≤2 ∪ 4≤x≤5
Okay so I’m taking a math test and it says 2 plus 2
Answer:
5 it's easy yshsghsjssjhebdhdhd
Answer:
so do 2+2 = 4.......................
