A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
Answers
Answer:
x-intercept = 3
y-intercept = -2
Step-by-step explanation:
P.S - The exact question is -
Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.
Proof -
By using the given information , we get
g(x) = [tex]\frac{2}{3} x - 2[/tex]
g(0) = 0 - 2 = -2
It also satisfy the condition g(0) = -2
Here,
by comparing with general form of slope-intercept form y = mx + c
where m = slope, c = y-intercept
Slope, m = [tex]\frac{2}{3}[/tex]
For x-intercept,
Put y = 0
⇒[tex]\frac{2}{3} x - 2[/tex] = 0
⇒[tex]\frac{2}{3}x = 2[/tex]
⇒x = 3
So,
x-intercept = 3
For y-intercept,
Put x = 0
⇒y = 0 - 2
⇒y = 2
∴
y-intercept = -2
Related Questions
PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?
There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.
Answers
Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
Learn more about "Venn diagrams" here-
brainly.com/question/2099071
#SPJ2
Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.
Answers
Answer:
$2,407.5
Step-by-step explanation:
To solve this question, we will use the formula for calculating the amount formula as shown;
A =P(1+r)^n
Given that;
P = #$1300
r = 4.5% = 0.045
t = 14years
Substitute
A = 1300(1+0.045)^14
A = 1300(1.045)^14
A = 1300(1.8519)
A = 2,407.5
Hence Isabella would have $2,407.5 in her account after 14years
what is 10 rounded to the nerest 10
Answers
4^m x 4^2 = 4^12 whats m?
Answers
Answer:
m=10
Step-by-step explanation:
M= 10
Hope this helps
Will give brainist help!!!
Answers
Answer:
A
Step-by-step explanation:
I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz
Answers
Answer:A
Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so
Answer:
The answer to this is a because it has a sequence of three
If 5 boys write 5 pages in 5 minutes,
in how many minutes can one boy
write one page?
Answers
Answer:
A boy can write one page in one minute
Answer:
5 minutesethhgdsyujjj
The hanger image represents a balanced equation (look at picture)
Answers
Answer:
A) [tex]27 = b + 9[/tex]
[tex]b=18[/tex]
Step-by-step explanation:
When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:
[tex]27 = b + 9[/tex]
Use inverse operations to solve this equation,
[tex]27 = b + 9[/tex]
[tex]-9[/tex]
[tex]18 = b[/tex]
PLEASE HELP FAST!!!!!!!!!
Answers
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
13 km
5 km
What is the length of the missing leg?
Answers
b^2 = c^2 - a^2
Substitute in the values:
b^2 = 13^2 - 12^2
b^2 = 25
Square root it
b = 5km
The answer is option B. 5km
HELP 15 POINTS PLEASE
Answers
Answer:
x^2 + 8x + 7 and x(x + 8) + 7
Step-by-step explanation
Help please on this asap
Answers
It is a
Scalene and Right angle
Is 72 km/h faster than 20 m/s
Answers
Answer:
no.both are equal.
Step-by-step explanation:
72 km/h=72000/(60×60)=20m/s
Answer:
They are equal
Step-by-step explanation:
72 Kilometers per Hour equals the same as 20 Meters per Second.
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answers
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm
Answers
Answer:
look it up because found the correct answer there
Step-by-step explanation:
How can you determine the part of an hour that is 15 minutes?
Answers
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?
Answers
Answer:
R = 23 ohms
Step-by-step explanation:
Start with V = I*R. Solve for R: R = V/I
Here I = 8 amps and V = 184 volts, and so
R = (184 volts) / (8 amps) = 23 ohms
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
Answers
Answer:
B
Step-by-step explanation
f(x)=x2-4x-5
Becomes
f(x)=x2-5x+x-5
Take out the common factor
f(x)=(x-5)(x+1)
Equate the given function equal to 0
0=(x-5)(x+1)
And then
x-5=0 -- x=5
x+1 = 0 == x=-1
Answer:
B
Step-by-step explanation:
we are given a quadratic function
we want to figure out the form which we don't need change
so according to the question
[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]
rewrite -4x as x-5x:
[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]
factor out x:
[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]
factor out -5:
[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]
group:
[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]
hence our answer is B
10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.
Answers
3x+3=108 PLSSS help Giving brainliest!!
Answers
Answer:
x=35
Step-by-step explanation:
3x+3=108
3x=108-3
3x= 105
x= 105/3
x=35
If you go to New Buffalo ice cream shop "Oinks" they have 48 ice cream flavors to choose from. Your parents say you can choose one ice cream flavor and pick one of the 12 toppings, how many different ice cream sundaes could you create?
576
517
69,668,534,468
60
Answers
Answer:
576
Step-by-step explanation:
just multiply 48 by 12
Answer:
576
Step-by-step explanation:
48 ice cream flavors
12 toppings
48 x 12 = 576
Which statements are true about the area of a circle? check all that apply
Answers
Answer:
circle is measured by 360°
Step-by-step explanation:
circle half of 180°
SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
Answers
Answer:
Self esteem hope this helps
Tell me which lines to which plz
Answers
Answer:
cereal bowl- 2 cups
baby food jar- 4 fluid ounces
soda can- 12 fluid ounces
swimming pool- 1000 gallons
large can of paint- 1 gallon
Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answers
Answer: 280 minutes
Step-by-step explanation:
Given
Expression is [tex]7\times (15+25)[/tex]
Apply distributive law i.e.
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]
Thus, theo dog took 280 minutes each week
45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200
Answers
Answer:
c
Step-by-step explanation:
Number of students = number of students that went to the museum / percentage of students that went to the museum
90 / 0.45 = 200 students
What’s the area of the polygon?
Answers
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
Separate it into 2 parts:
The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.
7 x 6 = 42 in^2
The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.
11 x 6 = 66 in^2
Total:
66 + 42 = 108 in^2
Answer:
108 [tex]in ^2[/tex]
Step-by-step explanation:
This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).
Starting with the top-right rectangle:
We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:
[tex]l=12-6=6[/tex] in
Now that we know l and h, we can evaluate the area of the first rectangle, which is
[tex]A= 6 *4= 24[/tex] in^2
Now for the bottom rectangle:
We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:
[tex]A=12*7=84[/tex] in^2
Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,
[tex]A=24+84=108[/tex] in^2
QED
I really need to know the answer of this question
Answers
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answers
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?
Answers
Answer:
14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70
Step-by-step explanation: