For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (2.5 - (- 4.25)) ÷ (0 - 4.5)
= −1.5
Finding the Equation
Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)
y = −1.5x + 2.5
Checking my answer:
I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.
Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.
ATQ
[tex]\\ \sf\longmapsto x+x+3\leqslant 20[/tex]
[tex]\\ \sf\longmapsto 2x+3\leqslant 20[/tex]
[tex]\\ \sf\longmapsto 2x\leqslant=17[/tex]
[tex]\\ \sf\longmapsto x\leqslant \dfrac{17}{2}[/tex]
Answer:
let Oscar's years be x
• Oscar → x
• Lois → (x + 3)
[tex]{ \rm{x + (x + 3) \leqslant 20}} \\ \\ { \boxed{ \rm{2x + 3 \leqslant 20}} }[/tex]
An amount of 3560 is decreased by 35.5% every year how much will it be worth after eight years
what is 6+6=blank find the answer please
Mary has saved $20.50 in the past 3 weeks. At this rate, how much will she save in 18 weeks?
Answer: $123
Step-by-step explanation:
$20.50/3 (weeks) = 6.83333333333
$6.83333333333 x 18 (weeks) = $123
Answer:
Step-by-step explanation:
18 weeks = 6 * 3
= 6 * 20.5
= $ 123
Find the missing amount)
Original: $160
New: $136
%Decrease:_______
(not multiple choice)
What number is 5.1% of 15?
Answer: 0.765
Step-by-step explanation:
“of” means “multiply”
5.1% can be written as 0.051
Multiply 15 by 0.051
0.765
Please help me solve this ASAP
Answer:
x = 1.6Step-by-step explanation:
[tex] - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5( - 4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]
An atom of silicon is approximately 0.00000000025 meters wide. How do you express that number in scientific notation? O 25 10-10 meters O 2.5 × 10-11 meters O 2.5 1010 meters O 2.5 x 10-10 meters
Answer:
.00000000025 = 2.5 * 10^-10
Looks like the last one
Can also write
2.5E-10
3/5e-6=-2/5(e-10)-7
Answer:e=19
Step-by-step explanation:
3/5e-6 = -2/5e +20 -7 distributed multiplication into brackets
3/5e + 2/5e = 20-7+6 collected like terms
e=19
Find the average speed in km/h for a journey of 175 meters and 35 seconds
Answer:
18 km/h
Step-by-step explanation:
1. Convert 175 metres into km
1000 m = 1 km (divide by 1000)
175 ÷ 1000 = 0.175 km
so 175 m = 0.175 km
2. Convert 35 seconds into hours
60 seconds = 1 min
60 mins = 1 hour
3600 (60 × 60) seconds = 1 hour (divide by 3600)
35 ÷ 3600 = 0.00972...
3. Calculate the speed
speed = distance ÷ time
= 0.175 ÷ 0.00972...
= 18 km/h
Question 10 of 2
What is the coefficient in the expression 8x2 +1?
O A. 1
ОВ. x
O C. 2
O D. 8
What is the coefficient?
which of the following represents a linear function with slope of 6?
Answer:
any equation with a 6 before the x
y=6x+b
Step-by-step explanation:
standard form is y=mx+b
m is the slope and b is y-intercept
please someone help me giving brainliest :)
Answer:
It should be 4.
show steps and i'll give brainly
Answer:
FOIL F-FIRST O-OUTSIDE I-INSIDE L-LAST
Step-by-step explanation:
[tex]2.6 = \times.2 \frac2.{68}{?} [/tex]
Which of the following best compares the slopes and y-intercepts of the two functions? (1 point)
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is less than the y-intercept of g(x).
The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
PLS HELP
Answer:
The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Step-by-step explanation:
F(x) is already given to you on the graph. You need to plot the x and g(x) graph. (remember g(x) is just a fancy way of saying y)
Once this line is plotted, you will see that f(x) and g(x) are parallel to one another. G(x) is below f(x), so its y-intercept is lower.
Patrick can paint a house by himself in
t
+
4
hours. Karen can paint the same house by herself in
t
+
9
hours. If they work together, they can paint the house in
t
hours. How much time will it take for Patrick to paint the house by himself?
Answer:
Its 12
Step-by-step explanation:
Ok done
A gym employee earns the same amount each month. After working for three months, he earned $4,500. Complete the table to determine how much money he will make over a five-month period. 5.Is the relationship proportional? Explain your thinking.
Answer:
1,500
Step-by-step explanation
1. to divide 3 by 4,500.
after dividing 3 and 4,500 you get
1,500
The money he will make over a five-month period will be $7,500.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A rec center worker procures a similar sum every month. In the wake of laboring for a considerable length of time, he procured $4,500.
The amount of money that he earns each month is given as,
⇒ $4,500 / 3
⇒ $1,500 per month
Then the money he will make over a five-month period will be given as,
⇒ $1,500 x 5
⇒ $7,500
The money he will make over a five-month period will be $7,500.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Ann is helping her aunt sew a lace border onto 2 quilts. Each quilt is 60 inches wide by 80 inches long. At the craft store, they buy a 25-yard roll of lace. How many inches of lace will they have left after finishing the quilts?
Answer:
340 inches
Step-by-step explanation:
25 yds = 900 in
60 + 80 + 60 + 80 = 280
280 x 2 = 560
900 - 560 = 340
Original grade:80
New grade:100
Find the precent of increase
Answer:
25%
Step-by-step explanation:
because from 80 to 100 is 20 and 20 is 1/4 of 80 and 1/4 to a decimal is .25
Answer:
80/100. That's 20% increase. When you hadd 8 and 2 you get 10.
Step-by-step explanation:
please help this is a graded assignment due tomorrow
If (x+2,5)=(3y+2)find x and y
Answer:
X = 7
Step-by-step explanation:
because of you do 5+2 = 7 then you minus 3 which you get 4.
the. if you have a production of around 10 you will get 7.
or you can do.
3+2 which is 5 and then you multiply that by 2 which is 10 and then you comprised that number therefore you will get 6 but you have to find X so we youndelie (think that's how u spell it) X which will equal to 1 and 6+1 is 7. once you get it it's quite simple
Go to your math tools and open the Graph tool to graph the equation you found for calculating profit. Set the scale of the graph to go from -5 to 40 on the x-axis and from -80 to 80 on the y-axis.
Part A
What do the points on the line in quadrant IV represent in terms of the situation?
Answer:
The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.
Step-by-step explanation:
I took the assignment :).
So there this question sayed if drove 110 mile and used 5 gallon of gas and if he plan to drive 236 mile , how many gallon of gas would Bryce need
Answer:
10.72 gallons.
Step-by-step explanation:
Divide 236 by 110.
You should get 2.1454.
Multiply 2.1454 by 5 gallons of gas.
PLEASE MARK BRAINLIEST
Answer:
12
Step-by-step explanation:
Find the x- and y-intercepts of : 4y-6x = 24
Answer:
x-intercept: (-4, 0)
y-intercept: (0, 6)
Step-by-step explanation:
4y - 6x = 24
To find the x-intercept, set the y value equal to 0.
4(0) - 6x = 24
Simplify by removing 4(0) since it just equals 0.
-6x = 24
Divide both sides of the equation by -6
x = -4
Since we set y equal to 0 and we know that the x value is -4, we can create a coordinate for the x-intercept of the equation.
(x, y) = (-4, 0)
Repeat the process for finding the y-intercept, but set x equal to 0.
4y - 6(0) = 24
4y - 0 = 24
4y = 24
Divide both sides of the equation by 4
y = 6
Write as a coordinate/intercept.
(x, y) = (0, 6)
Let me know if you have any questions!
Which one of the following would most likely have a positive linear correlation coefficient?
A. grade point average compared to the number of hours a student watches TV
B. the height of a tomato plant throughout the year
C. a person's salary compared to the amount of education they have attempted
D. SAT scores compared to hours spent studying
Answer: B
Step-by-step explanation: The tomato grows more over time so it will be a positive..
The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
A. grade point average compared to the number of hours a student watches TV.
The grade points depend on the number of hours a student watches TV.
If watching time increases the grade point decreases.
B. the height of a tomato plant throughout the year
The height of a tomato and the number of years show a positive linear correlation.
C. a person's salary compared to the amount of education they have attempted:
The above situation represents an exponential regression.
D. SAT scores compared to hours spent studying
If the time spent in studying increases the SAT scores increases rapidly.
Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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Help me with math, please.20 points.
I need help with this one
Answer:
S = 180C²
18,000 lbs
Step-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
better?
Jake earns $8 per hour for cutting grass. If he works a 35-hour week,
how much money will he earn?
There are many ways to solve these types of questions. But I am going to use the fraction method.
Step 1: Set up a fraction.
Setting up a fraction, given the question will be the units on the same level. And the money earned will be a variable, "[tex]m[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{8}{1} = \frac{m}{35}[/tex]
Step 2: Solve
[tex]\frac{8}{1} = \frac{m}{35}[/tex]
Multiply 35 to both sides[tex]\frac{35m}{35}=8\cdot \:35[/tex]
[tex]m=280[/tex]
Therefore, Jake will earn $280.
Solve the simultaneous equations 2x + y = 5 and 2y = x – 10.
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The given equations are :
[tex]2x + y = 5[/tex][tex]2y = x - 10[/tex]From the first equation, we get :
[tex]2x + y = 5[/tex][tex]y = 5 - 2x[/tex]now, let's put the value of y as (5 - 2x) in second equation to find the value of x :
[tex]2y = x - 10[/tex][tex]2(5 - 2x) = x - 10[/tex][tex]10 - 4x = x - 10[/tex][tex]5x = 20[/tex][tex]x = 4[/tex]hence, value of x = 4, Plugging the value of x in second equation :
[tex]2y = x - 10[/tex][tex]2y = 4 - 10[/tex][tex]2y = - 6[/tex][tex]y = - 3[/tex]so, the required values are :
x = 4 y = -3I need help with #7 asap plss
Answer:
sorry i would help if i new let me see if i can find it somewhere
Step-by-step explanation: