The linear function g is defined by g(x) = 4x.
a. Determine g(3).
b. Determine g(2).
c. Determine g(3) - g(2)
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
15.
.
X
Income Earned
Which statement below accurately represents the graph?
Click on the picture to enlarge
Dollars Earned
900
BOO
700
600
500
400
300
200
100
0 1 2 3 4 5 6 7 8 9
Hours Worked
a) $100 is earned for each hour worked
b) $200 earned for every 2 hours workedis
the unit rate
+
c) $500 is earned for every 8 hours worked 0 d) $300 is earned after working 4 hours
Answer:
C.
Step-by-step explanation:
❌Option A is incorrect
Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis
❌Option B is incorrect
Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.
✅Option C is CORRECT
Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis
❌Option D is incorrect
Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis
Analyze the diagram below and complete the instructions that follow.
Find a, b, and c.
Answer:
Step-by-step explanation:
for side a
take 60 degree as reference angle
using tan rule
tan 60 =opposite /adjacent
[tex]\sqrt{3}[/tex] = a/6
do cross multiplication
6*[tex]\sqrt{3}[/tex] =a*1
[tex]6\sqrt{3} = a[/tex]
for b
using pythagoras theorem
a^2 + b^2 =c^2 (here a nd b are the legs of a right triangle and c is hypotenuse)
6^2 + [tex](6\sqrt{3})^2 = b^2[/tex]
36 + 6*6*3 = b^2
36 + 108 = b^2
144 = b^2
[tex]\sqrt{144}[/tex] = b
14 = b
for angle c
take 45 degree as reference angle
using cos rule
cos 45 = adjacent/hypotenuse
[tex]\frac{1}{\sqrt{2} } = \frac{c}{12}[/tex]
do cross multoplication
[tex]c*\sqrt{2} = 12*1[/tex]
[tex]c = \frac{12}{\sqrt{2} } \\\\c = 6\sqrt{2[/tex]
What is the distance between (-5, -6) and (-3, -8)?
Which statement is true about the function shown in the graph?
Answer:
A
Step-by-step explanation:
The function that is shown in the graph is strictly decreasing
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function has a value of (- 5) at a certain point.
After that the function is decreased to a value of (- 10).
Therefore, we can conclude that the function is strictly decreasing.
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In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answer: 86 degrees
Step-by-step explanation:
brainlest! to first one pls help mehh
Answer:
A
Step-by-step explanation:
Answer:
option a and b
Step-by-step explanation:
peanuts=1/4 cup ratio=1:4
raisins=1/2 cup ratio=1:2
chocolate chips=3/4 cup ration=3:4
granola =1 cup ration=1:1
a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1
1/2 = 1/4=2/1
do cross multiplication
4*1=2*1=2/1
4/2=2/
2/1=2/1
2:1=2:1 this is satisfied
b.ratio of cup of granola to cup of peanuts=1:4 or 1/4
1/1=1/4
do crss multiplication
1*1/4*1=1/4
1/4=1/4
1:4=1:4 this is satisfied as both are equal
c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1
3/4=1/2
do cross multiplication
3*2=4*1=3/1
6/4=3/1
6:4=3:1 this is not satisfied as they are different.
d.the ratio of cup of raisins to cup of granola=1:3 or 1/3
1/2=1/1
do cross multiplication
1*1=2*1=1/3
1/2=1/3
1:2=1:3 this is not satisfied as they are different.
e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3
1/1=3/4
do cross multiplication
3*1=4*1=4/3
3/4=4/3
3:4=4:3 this is not satisfied as they are not equal
therefore ur answer is option a and b.
How to solve and answer to the question
Answer:
7
Step-by-step explanation:
AB//CD (Opposite sides of parallelogram are parallel)
Angle A + Angle B = 180 (Sum of interior angles=180)
138 + 7x - 7 = 180
7x - 7 = 180 - 138
7x = 42 + 7
7x = 49
x = 49/7
x = 7
Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0
Answer:
first you add then you subtract
Step-by-step explanation:
Answer:
The answer is (B) - (7+4 i) + (7 minus 4 i) = 14
Step-by-step explanation:
The pentagon shown could be reflected over which line to be carried onto itself?
Answer:
on the x axis because it is reflected there
Item 23
What kind of angle is angle BCA ?
acute
obtuse
right
Answer:
BCA is obtuse
Step-by-step explanation:
BCA = 98 degrees
greater than 0 to less than 90 is acute angles
90 - right angle
greater than 90 to less than 180 is obtuse
98 is obtuse
how to find coefficient of x²in 2+x²+c
Answer:
1 is cofficient of X ²
I hope it's helpful for u ...Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amount?
20%=1/5 so the tip amount is 1/5*($38.00)=$7.60
Amber is solving the inequality X+61- 12 < 13 by graphing. Which equations should Amber graph?
O Y1 = +6 Y2 - 25
O y1= x+6y2 = 25
O Y1 = X+61.72 = 13
O Y1 = X+6.82 = 13
Therefore, Amber should graph the equation Y1 = X+61.
What is inequality?An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities are used to describe a range of possible values for a variable, rather than a single value. Inequalities can be solved by performing operations on both sides of the inequality symbol, just like equations. However, there are some important differences between solving equations and solving inequalities. For example, if we multiply or divide both sides of an inequality by a negative number, we need to reverse the direction of the inequality symbol.
Here,
To graph the inequality X+61- 12 < 13, we need to rearrange it to the form Y < MX + B, where Y is on the left-hand side and X is on the right-hand side. This gives:
Y < -X + 64
Now we can graph the line Y = -X + 64 and shade the region below it, since we want Y to be less than this expression.
Out of the equations given, Y1 = X+61 is the closest to the inequality we are trying to graph. However, the coefficients of X and Y are reversed, so we need to rearrange it to the desired form:
Y - X < 61
Y < X + 61
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While watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race. What is the probability you choose all three places correctly
Answer:
1/17
Step-by-step explanation:
I he had even got 1 out of the 3 places the probability would be 3/17
But as he is guessing all three places it becomes 1/17
The probability of getting the 1st,2nd, and 3rd position will be 1/17.
What is the probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that while watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race.
The probability is calculated by the formula,
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 1
Number of samples = 17
Probability = Number of favorable outcomes / Number of sample
Probability = 1/17
Therefore, the probability of getting the 1st,2nd, and 3rd position will be 1/17.
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Help please need ASAP
Answer:
Step-by-step explanat
126
612
126
Excel Formula: Product – Toys Price - $114.99 Discount – 12%?
Answer:
new price 101.19
Step-by-step explanation:
First find the amount of the discount
114.99 * 12%
114.99 *.12
13.7988
Rounding to the nearest cent
13.80
Subtract from the original price
114.99-13.80
101.19
Answer:
$101.2
Step-by-step explanation:
original price = $ 114.99
discount % = 12%
discount amount = ?
Noe,
discount amount = discount % of original price
=12/100 * $114.99
=1379.88/100
=13.7988
New price of a toys after discount = original price - discount amount
=$114.99 - $ 13.7988
=$101.1912
=$101.2 (after converting answer to the nearest tenth)
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If A=28, then the measure of arc BA is_____
Answer:
124
Step-by-step explanation:
Have a nice day :)
Arc AC is 180º, arc BC is 56º:
[tex]180+56 +\arc{BA} = 360\implies BA = 124[/tex]
Multiply x^2+2x+3 times 4x^2-2x+1
Answer:
4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Answer:
answer for this solution is 4x^4+6x^3+9x^2-4x+3
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If AC= 12cm, what is the length of arc AB to the nearest whole number?
Thank you! Multiple choice!
Answer:
45
Step-by-step explanation:
Have a nice day :)
6. Which of the following is equivalent to the expression shown?
(x - 5)(x + 5)
(A) x2 – 10x - 25
(C) x2 – 25
x2 - 10x + 25
(D) x2 + 25
(x–52) (x+5)
x²-524
X2-10
I’m stuck on this help anyone ? :(
Answer:
its x^2 -25
Step-by-step explanation:
simply we know,
a^2-b^2=(a-b)(a+b)
Please help, im stuck.
Answer:
4x^2 + 12x + 9
Step-by-step explanation:
(2x + 3)^2
it is in the form of (a + b)^2
(a + b)^2 = a^2 + 2*a*b + b^2
(2x + 3)^2
(2x)^2 + 2*2x*3 + (3)^2
4x^2 + 12x + 9
Solve the system of equations.
y=8x-6
y=5x+9
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
x = 5 and y = 34
Step-by-step explanation:
I used substitution method and did this ;
8x - 6 = 5x + 9 .....put like terms together
8x - 5x = 9 + 6
3x = 15
x = 5
y = 8 (5) - 6
y = 40 - 6
y = 34
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.
What is the growth factor?
Answer:
$750 for 4 percent annually
Step-by-step explanation:
3000/4 =750 But it also depends on if you want that 4 percent to grow.
Patterson Planning Corp.,
You have been hired by Patterson Planning Corp., an events planning company that recently had a fire in which some of the accounting records were damaged.
In reviewing the fixed asset records, you find three depreciation schedules that are not labeled. They are listed in the following table. One of the assets has a depreciation rate of $4.30 per hour.
Answer:
Total depreciation now will be $51500 and the depreciation for you will be $5575
Step-by-step explanation:
Your welcome! :)
Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i
Answer:
that's right B) 3 - √3i
Step-by-step explanation:
(12 - √-48) / 4 =
12/4 - √-48 /4
= 3 - √(-48/16)
= 3 - √-3
= 3 - √ 3i
[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]
[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]
[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]
Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Answer:
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Step-by-step explanation:
Ax + By = C, where A = 0, B is positive, and C is negative
By= C or y= C/B which is negative
Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero
---------------
A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
no, the line is horizontal
A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
no, the line is horizontal
A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
no, the y-values should be negative
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
yes, this is horizontal line below zero
Answer:
D
Step-by-step explanation:
Plz help solve this thanks
Answer:
y= -3/2
Step-by-step explanation:
........................
Type the correct answer in each box.
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
X=0
Y=2
Step-by-step explanation:
Just finished and i got it right
How to solve and what is the answer for this question
Answer:
O DC = 65 and DE = 33.5
Step-by-step explanation:
DC is already given by AB
so DC is 65
DE would be BD split
DE is 33.5
Answer: O DC = 65 and DE = 33.5
