Answer:
[tex](x,y) = (0,1)[/tex]
Step-by-step explanation:
Given
The above table
Required
Determine the coordinates of the y intercept
Represent points on the table as:
[tex](x_1,y_1) = (4,2)[/tex]
[tex](x_2,y_2) = (8,3)[/tex]
First, calculate slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-2}{8 - 4}[/tex]
[tex]m = \frac{1}{4}[/tex]
For y intercept, the following coordinate point exist:
[tex](x_3,y_3) = (0,y)[/tex]
Because x = 0 at y intercept
Calculate the slope as:
[tex]m = \frac{y_3 - y_1}{x_3 - x_1}[/tex]
The equation becomes
[tex]\frac{1}{4} = \frac{y - 2}{0 - 4}[/tex]
[tex]\frac{1}{4} = \frac{y - 2}{- 4}[/tex]
Cross Multiply:
[tex]4(y-2) = -4 * 1[/tex]
Divide through by 4
[tex]y - 2 = -1 * 1[/tex]
[tex]y - 2 = -1[/tex]
Make y the subject:
[tex]y = 2-1[/tex]
[tex]y = 1[/tex]
Hence, the coordinates of the y intercept is:
[tex](x,y) = (0,1)[/tex]
What word describes the slopes of the line
Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
Potato salad can be purchased at the grocery store for $2.58 per pound. If Michael wants to buy 2.5 pounds of potato salad, how much will it cost?
Answer: $6.45
Step-by-step explanation: Since 1 pound is $2.58, and we need to find out how much is 2.5 pounds, we can just multiply 2.58 by 2.5. Should be simple for you. Hope this helps. :)
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
Write the equation of the line below. Please help
Step-by-step explanation:
The line is a vertical line of the form x = a, where a is a real constant.
Sincw the line passes through the point (-5, 0), the line equation is x = -5.
In a class of 23 students, 12 have a cat and 6 have a dog. There are 2 students who
have a cat and a dog. What is the probability that a student who has a cat also has a
dog?
Answer:
2/23
Step-by-step explanation:
I think it's because there's 2 students out of 23 students who have a cat and a dog. So, I'm assuming the answer is 2/23
Answer:
2/12
Step-by-step explanation:
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
The equation c=0.09sc=0.09s gives the amount cc (in dollars) of commission a salesperson receives for making a sale of ss dollars.
What’s the independent and Dependent variable
Answer:
independent variable is s and the dependent variable is c
Step-by-step explanation:
Answer:
is not the top it is this
Step-by-step explanation:
The equation c=0.09s represents the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.
The independent variable is s
.
The dependent variable is c
.
The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones
Answer:
9
Step-by-step explanation:
because half of the 8 pastries served were blueberry. so you would divide 18 by 2
2.
The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11
Answer:
13 basketballs
Step-by-step explanation:
Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4
Answer: 41.4
Step-by-step explanation:
1243/30=41.4
3x+8=35 Show your work
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
First person to answer will get 100 points & Brainliest!
Answer:
heyyyyyy
Step-by-step explanation:
Find missing Heights
Answer:
15 feet. 10 plus 15=25 s0 therefore it is 15
what is a equivalent expression for 4(x-2)
For example, Emily received a 67 on her first economics exam, which counts for 20% of her grade; an 84 on her second exam, which counts for 30% of her grade; and a 78 on her third exam, which counts for 50% of her grade. What is her weighted average in the class
Answer:
77.6
Step-by-step explanation:
Given the data:
Weighting :
First exam = 20% ; second exam = 30% ; third exam = 50%
Scores :
First exam = 67 ; second exam = 84 ; third exam = 78
Weighted Average :
Σ(Weight * Score)
Σ[(0.2 * 67) + (0.3 * 84) + (0.5 * 78)]
13.4 + 25.2 + 39
= 77.6
Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.
Emily's weighted average= ∑ (Percentage of grade x Score in exam)
Solving gives:
= (20% x 67) + ( 30 % x 84) + (50% x 78)
= 13.4 + 25.2 + 39
= 77.6
Emily's weighted average is 77.6 marks.
Find out more on weighted average at https://brainly.com/question/14432034.
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
A 8 − 4π
B. 8 - 8π
C. 4π − 8
D 8π − 8
E 16π - 8
Please tell me how to do this
Answer:
4.56637
17.13274
4.56637
17.13274
42.26548
Step-by-step explanation:
math
plz help need this! pic in bottom!
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923
what part of the expression is a term a.5 b.+ c.6x+ 5 d. x
PLEASE MARK BRAINLIEST!
Answer:
If I am not mistaken, the equation is:
6x + 5
So the terms are:
6x 5The coefficient is:
6The variable is:
xThe constant is:
5I hope this helps! Your question was a bit unclear...
- sincerelynini
A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m
you are a girl or boy. #/
Is the graph proportional or nonproportional number of chores and age
Answer:
where is the graph??
Step-by-step explanation:
solve the literal equation
6/p=x+a for p
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, two congruent angles is not enough information to prove similarity.
D. No, triangles with two congruent angles are never similar.
Answer:
is it c??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity
Add the two expressions.
−4.2x+3 and 2.5x−6
Segment BD is a midsegment of triangle AEC
Which equation could be used to find the value of x
A 39x-11=17x+6
B 39x-11=2(17x+6)
C 2(39x-11)=17x+6
D 2(39x-11)=2(17x+6)
Answer:
B 39x-11=2(17x+6)
Step-by-step explanation:
Olivia is making scarves each score will have seven rectangles and 6/7 right angle will be purple high before rectangles does she need for three scarves
Answer: 6 purple rectangles
Step-by-step explanation: We know that each scarf will have 5 rectangles and 2/5 of the rectangles will be purple: 2/5 * 5 = 2. It means that each scarf will have 2 purple rectangles. And for 3 scarves : 3 * 2 = 6. Answer: She needs 6 purple rectangles.
PLEASE PARAHPAHAE THIS FOR ME IM IN 4 grade ITS 50 PTS / POINTS PLEAPELSPLEPELPPLEASEPLEASEPLEASE HELP ASAP THANKS SM
The mosquitos have different traits because they have different proteins for body size feature in their cells. Differences in the structure of protein molecules affect how they interact with other protein molecules. A gene version provides instructions for making a specific protein, so mosquitos with different combinations of gene versions will have different proteins in their cells that result in small, medium, or large body sizes. Each parent randomly passes on one of its two copies of a gene for a feature, which is why each mosquito offspring can have a different combination of gene versions even though they have the same parents.
Answer:
The mosquitos have different traits because they have different proteins for body size feature in their cells. Differences in the structure of protein molecules affect how they interact with other protein molecules. Genes provide rules for making particular energy, so mosquitos with different mixtures of genes will have different proteins in their cells that end up in different body sizes. Each parent randomly gives on one out of two of a gene for a characteristic, which is why each mosquito babies can have different mixtures of genes, even though they have the same parents.
Step-by-step explanation:
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation: