Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answer:
Yes he is correct, If it was 100% then it would stay the same 10 hours. But since it's 110%, it is in fact 11.
Step-by-step explanation:
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates are (-1,4)
Step-by-step explanation:
To get the coordinates, we use the internal division formula
Mathematically, that will be;
(nx1 + mx2)/(m+n) , (ny1 + my2)/(m + n)
In this case;
m = 5
n = 3
(x1,y1) = (-6,9)
(x2,y2) = (2,1)
Substituting these values, we have that;
(3(-6) + 5(2)/(5+3) , (3)(9) + 5(1))/(5 + 3)
= (-18 + 10)/8 , (27+5)/8
= -8/8,32/8
= (-1,4)
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
Answer:
I believe it is associative property of addition or commutative
Step-by-step explanation:
What equal to 3(x+y)
Answer:
Step-by-step explanation:
3(x+y)= 3x+3y,
you have to multiply the number with each term that is in parenthesis
Answer:
3x+3y
Step-by-step explanation:
3x+3y is pretty much the simplified version.
help me please I suck at math its my weakness
Answer:
b
Step-by-step explanation:
(8,0) (10,14) (14,30)
Answer:
What is the answer u want dude
Step-by-step explanation:
Answer:
whats the answer
Step-by-step explanation:
Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8
Answer:
-8
Step-by-step explanation:
3/4x=-18+12
x=-6×4/3
x=-8
Answer:
x = -8
Step-by-step explanation:
[tex] \frac{3}{4} x - 12 = - 18[/tex]
i) multiply both sides of equation with 4
[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]
[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]
[tex]3x - 48 = - 72[/tex]
ii) move -48 to the right-hand side and change its sign
[tex]3x = - 72 + 48[/tex]
iii) calculate the sum
[tex]3x = - 24[/tex]
iv) divide both sides of equation with 3
[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]
[tex]x = - 8[/tex]
A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese.
Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Drag one expression next to each question. The correct expression for each row is a way to answer that question. PLZZ help!!
Answer:
The correct options are;
1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
Step-by-step explanation:
1) How many grams of fat are in 1/2 cup of cheese
The number of grams of fat per 1/4 cup of cheese = 6 grams
Therefore;
The number of grams of fat per kilogram of cheese = 6/(1/4)
The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;
[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas
The number of cups of cheese per small pizza = 1/2 cup of cheese
Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;
[tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
Given that 1/2 cup of cheese can make one small pizza
(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza
3/4 cup of cheese can make 3/4 × 1/(1/2) = (3/4)/(1/2) small pizza, which can be written as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
Will give crown help
Answer:
[tex]m=\frac{5}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -2)
Point (-1, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{3+2}{-1+5}[/tex]Add: [tex]m=\frac{5}{4}[/tex]Answer:
5/4
Step-by-step explanation:
you can also use rise/run
you go up 5 and over 4
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!
How to solve your question
Solve for y:
-y = 3 y
Subtract 3 y from both sides:
-y - 3 y = 3 y - 3 y
-y - 3 y = -4 y:
-4 y = 3 y - 3 y
3 y - 3 y = 0:
-4 y = 0
Divide both sides of -4 y = 0 by -4:
(-4 y)/(-4) = 0/(-4)
(-4)/(-4) = 1:
y = 0/(-4)
0/(-4) = 0:
Answer: | y = 0
Part A: Enter values for the ratio of
y
for the equation y = 2x.
2
х
Y
y
Value of
C
__1
-2
1
2
2
4
Y
Part B: Enter values for the ratio of for the equation y= 2x + 2.
Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee
Answer:
2. -1/3x > 12
3. 5+x > 7
4.10-x < 30
5. 2+5x ≤ 3
6.6-2x ≥ 17
8.$400+$49g=$750
at most the enthusiast can buy 7 games along with the player
Step-by-step explanation:
What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)
Answer:
8/3
Step-by-step explanation:
Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.
For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?
A) 9
B) 21
C) 45
C) 51
ill give brainly to first correct answer
Answer:
C
Step-by-step explanation:
The input is the value of x. Substitute x = 4 into y for output
y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45
Thus the output is 45 → C
3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6
Answer:
x=0.8
x=6
Step-by-step explanation:
(5x-4)(x-6)=0
1)5x-4=0
2)x-6=0
1)5x=4
x=4/5 or 0.8
2)x=6
1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)
Answer:
f(-2) = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 1
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 1Multiply: f(-2) = -6 + 1Add: f(-2) = -5Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)
Answer: a
Step-by-step explanation:
When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56
can someone help me !
Answer:
its b
Step-by-step explanation:
hope this helps
A System of Linear Equations consist of.....
O three or more lines.
O at least one line.
O at least two lines.
O more than two lines.
Answer:
B. At least one line
Step-by-step explanation:
Two lines can overlap on the coordinate plane, so it appears to be one line.
HELP ME PLEASE I WILL GIVE BRAINLIEST PLEASE PLEASE
Sandra wants to have her new technology up and running as soon as possible. She is looking for a tool that she can download and use right away. She is evaluating _____.
features
operating expenses
templates
availability
Answer:
i beleive it answer is b.) operating expenses
Step-by-step explanation:
i say that because she is looking for a quick way to operate the computer without any expense.
If correct plz mark brainly :)
Answer:
availability
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
PLease help I promise this is easy
Answer:
use
y2-y1
____
x2-x1.
unfortunately I forgot how to solve it but pick 2 coordinates
Identify the graph of f(x) = -3 |x+2|.
Answer:
the first one
Have a safe and happy new years
The function f(x) = -3 |x+2| represent the graph A. The correct option is A.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.
Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.
To know more about functions follow
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consider the inequality shown.
4x+ax-14>-24
What is the highest integer value of when x=-2
Answer:22
Step-by-step explanation:
What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)
Answer:
y = -2x - 3
Step-by-step explanation:
-solve for y: y = 1/2x + 2
-perpendicular equals opposite slope: -2
-plug in the point: (1) = -2(-2) + b
1 = 4 + b
b = -3
put it all together: y = -2x - 3
please help which one of these answers is it?
Answer:
[tex] m\angle ABC = 35\degree [/tex]
Step-by-step explanation:
(3x - 70)° = x° (corresponding angles)
3x - 70 = x
3x - x = 70
2x = 70
x = 70/2
x = 35
[tex]
m\angle ABC = (3x - 70)\degree \\\\
m\angle ABC = (3\times 35- 70)\degree \\\\
m\angle ABC = (105- 70)\degree \\\\
\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]
Helpp I have 50 sec leftttn asappp
Answer:
The answer would be B) 17 1/3
5h(-m+f)= 6
SOLVE FOR F!
Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]
Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].
To know more about the equation
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Which table shows a proportional relationship?
b 2 3 8 9 14
c 4 6 16 18 28
x 1 2 3 4 5
y 4 5 6 7 8
r 2 3 4 5 6
s 3 5 6 8 9
p 1 3 5 7 9
q 3 7 11 15 19
it is b 2 3 8 9 14
c 4 6 16 18 28
i took the test