Using a linear function, it is found that the estimated French score is of 38.1875.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by change in the output divided by the change in the input, hence:
[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]
Then:
[tex]y = -0.4875x + b[/tex]
Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.
[tex]y = -0.4875x + b[/tex]
[tex]65 = -0.4875(10) + b[/tex]
[tex]b = 69.875[/tex]
Hence:
[tex]y = -0.4875x + 69.875[/tex]
For a student who got 65 in math, x = 65, and hence:
[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]
The estimated French score is of 38.1875.
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Solve. 213−12x=−23 Enter your answer in the box.
[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
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Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
and that we use in the second equation
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she was working 14 hours on job A and 9 hours on job B.
Answer:
she is rich
Step-by-step explanation:
Please help! Even 1 answer would be helpful
In the original equation, x is a variable, hence f(x). If that term in the parenthesis changes, such as to 0 or -2, we will plug in that number in place of the current variable.
f(0) = 4(0)^2 + 3 = 0 + 3 = 3
f(-2) = 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19
Hope this helps! :)
Given SV//TU and SVX=UTX
Prove: VUTS is a parallelogram
Write a paragraph proof.
Thank you! :)
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
2) If two pair of opposite sides are parallel then it is a parallelogram.
Step-by-step explanation:
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
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Write the equation of the line graphed below in slope-intercept form.
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
Fill with possible values to make the statement true in 2 diffrent ways:
35 is _% of _
Answer:
35 is 35% of 100 and 35 is 17.5% out of 200
Step-by-step explanation:
Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?
Answer:
the answer is 8:5
Step-by-step explanation:
5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?
Answer:
8÷5 = 1 . 6
Step-by-step explanation:
They will divide the pizzas into 5 pieces further
The following is a linear inequality: y<6x-4
In the graph, will the line be solid or dashed?
1: Solid
2: Dashed
Answer:
it maybe solid
hope I'm correct if not then I'm sorry but I'm pretty sure it is solid
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per
second (s). The rock's height (h) above the bottom of the pool is given by the
equation: h = 72 – 4s. After how many seconds will the rock be half way to the
bottom?
Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.
Can you please help me with this question
Answer:
A. y ≥ -3x +4
Step-by-step explanation:
The boundary line crosses the y-axis at +4, so the y-intercept of it is +4. This eliminates choices C and D.
The shading is above the line, where y-values are greater than those on the line. This eliminates choice B.
The correct inequality is ...
A. y ≥ -3x +4
Help due in 2 mins!!!!
What is the value of the expression below???
Answer:
A. 4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
Lucia brought 13 2/5 pitchers of juice to a volleyball game, and the players drank 5 4/5
pitchers of it. How much juice is left?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 3/5 or 38/5
Step-by-step explanation:
13 2/5 - 5 4/5 = 38/5 = 7 3/5
What type of triangle is this?
6
3
8
acute
obtuse
Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*
Answer:
unit rate 1:8
Step-by-step explanation:
A _______ is a variable, an integer or a product of variables and
integers.
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
can someone help me with this
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
negate the following statements.
WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE
Answer:
It is totaly based on the diagram
Answer:
it is said on diagram or other values are given to find it
What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
Your ship accidentally left an alien stranded at your starting location. How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)? They are the same.
Answer:
no
Step-by-step explanation:
no I said no no nono nooooooo
Solve.
x/2=−0.73
What is the solution to the equation?
Enter your answer as a decimal in the box.
x =
x/2 = -0.73
To solve for x multiply both sides by 2:
x = -1.46