Answer:
57 square units
Step-by-step explanation:
Area is = Length x Width
Given:
f(x)= 4x + 3 Length
g(x)=2x-5 Width
x = 4
============
Width
g(x)=2x-5
g(4)=2(4)-5
g(4)= 3
Length
f(x)= 4x + 3
f(4) = (4)(4) + 3
f(4) = 19
Area = (length)*(width)
Area = f(x)*g(x) for x = 4
Area = (f(4))*(g(4))
Area = (19)*(3)
Area = 57 square units
PLEASE HELP ME, I BEG OF YOU TO HAVE MERCY ON MY POOR SOUL
1. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)
2. Using the slope and y-intercept, write the equation of the trend line (y = mx + b).
3. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.
4. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.
The answer for the following question is
1. m= 10
2. y- intercept = 300
3. y = 10x + 300
What is Regression line?A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables
1.slope= rise/ run
m= 10
2. y- intercept = 300
3. Now, the regression line:
y = 10x + 300
At, x = 1
y = 10(1) + 300
y = 310 calories
and x = 14
y = 10(14) + 300
y = 440
We know the actual value is 330.
Hence, the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
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when using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
a)4
b)3
c)2
d)5
The only option that meets the root theorem is option b.
which of the following is a possible root of the polynomial function below?
The polynomial function is:
[tex]f(x) = 2x^2 - 4x + 9[/tex]
The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.
In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3
Where 3 is a rational number:
3 = 3/1
The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).
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What is the answer? i need help so bad....
Answer:
18
Step-by-step explanation:
(6 * 3 ) - (8 * 0) = 18
write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food
[tex]t = p*k[/tex] is the formula that will help eric determine how much the potatoes he buys will cost in bulk.
What is Advance algebraic Equations?An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
According to the question,
In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.
Since we are given specific variables for each piece of information needed for the variable.
All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.
[tex]t = p*k[/tex]
By using this formula lets Eric calculate the total price of an order of fruit or vegetables.
Therefore,
A formula that will help eric determine how much the potatoes he buys will cost in bulk is [tex]t = p*k[/tex]
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Which of the following describes point D?
O (-4,0)
O (4,0)
O (0,4)
O (0,-4)
Answer:
The answer is C (0,4)
Step-by-step explanation:
Looking at the graph we have to find a point (x,y) of D.
Find point D. It is on the y-axis, but which one? Positive/Negative y-axis.
It appears to be on the positive y-axis.
Now we have to choose either option C or D.
Option C seems like the best choice since the point is (x,y) is (0,4) on the positive y-axis.
Option D is quite the opposite of point D since the point (0, -4) is on the negative y-axis.
The answer is C. (0,4)
PLEASE HELPPP!!
Solve the system of equations.
Answer:
x= 4
y= -2
Step-by-step explanation:
[tex]-3y+5x=26\\-2y-5x=-16[/tex]
Solve by using the Elimination Method.
[tex]-5y=10\\\\\frac{-5y}{-5} =\frac{10}{-5} \\\\y=-2[/tex]
Now plug y into one of the original equation.
=======================================
[tex]-2y-5x=-16[/tex]
[tex](-2*-2)-5x=-16[/tex]
[tex]4-5x=-16[/tex]
[tex]4-5x+5x=-16+5x[/tex]
[tex]4+16=-16+5x+16[/tex]
[tex]20=5x\\\\\frac{20}{5} =\frac{5x}{5} \\\\x=4[/tex]
=======================================
[tex]\left \{ {{x=4} \atop {y=-2}} \right.[/tex]
A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.
Which value can be used as the common ratio in an explicit formula that represents the sequence?
One-half
2
6
12
The common ratio of the given Geometric progression is one-half.
Let a be first term and r common ratio of the Geometric progression.
The Geometric sequence is the form a,ar,ar^2, ...
Given that the sequence begins with 12, i.e a = 12
and also given that the sequence are in Geometric Progression.
By dividing the preceeding number by 2, we get the successive number
Then the Geometric sequence is 12, 12×1/2, 12×1/4, 12×1/8, 12×1/16 ...
= 12, 6, 3, 3/2, 3/4, ...
Common ratio = Second term / First term
= 6/12
=1/2
Therefore, the common ratio of the given geometric progression is one-half.
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Answer:
its a
Step-by-step explanation:
Help with Pre Calculus
Investor Lucas just bought a large amount of stock in Company Y. What may have motivated his behavior? (5 points)
Lower shares prices
O Low real returns
O Higher shares costs
O High total ear
What must have motivated the behavior of the Investor to commit to such a large stock is; Option C: High Total Earnings
How to know the value of investing in stocks?A) Low real returns; This cannot be his motivation to buy large shares because real return is what is earned on an investment after accounting for taxes and inflation. Thus, the lower, the less encouraging to investors.
B) Higher shares costs; This only means that the share cost is currently high which indicates strength of the company but it does not guarantee that it will scale up at a very fast rate again.
C) High total earnings; Thus would be an encouragement to the investor because the higher the total earning potential of an investment, the more the profitability and the more attractive to others.
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Simplify the expression below. How many digits are in the answer?
2.784 - 3.00079 + 10.671 x 1.0798
Answer:
11.3057558
Step-by-step explanation:
9. Solve for x: Please explain
Answer:
since the triangle has a line on 2 sides, it means that it is equal. Also, every triangle has 180 degrees so the missing degree is 70
Step-by-step explanation:
Figured it out
Answer:
x = 70°
Step-by-step explanation:
Since 2 sides are marked as congruent then the triangle is isosceles with 2 base angles being congruent , both 55°
the sum of the 3 angles in the triangle = 180° , so
x + 55° + 55° = 180°
x + 110° = 180° ( subtract 110° from both sides )
x = 70°
Find the missing term.
(x12)5 x (x-2)⁹ X ____=
(140)5
Answer:
x12×x5x×x-2×9) ____=((140)5
60x × (x-18)x _______=(140)5
60x×x-10x _______=(140)5
60x-18x______=140×5
42x_______=700
42x-42x ____=700-42x
658x
please help mee, sketch the graph please (50 points will give brainliest!!!)
Values are given below as pairs (x,y) where x coordinate is x values in box and y coordinate is y values on box
(-5,9)(-4,4)(-2,0)(0,4)(1,9)Graph attached
(8.6x107)-(9.1x10-8)simplify
Answer:
85,999,999.999 999 909
Step-by-step explanation:
The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.
Standard formThe numbers in standard form are ...
86,000,000 = 8.6×10^7
0.000000091 = 9.1×10^-8
DifferenceTheir difference is ...
86,000,000 -0.000000091 = 85,999,999.999 999 909
In scientific notation, this is ...
8.599 999 999 999 990 9×10^7
Mo travels 30 miles in 45
minutes.
He then travels 18 miles in 30
minutes.
Calculate his average speed.
Answer:
38.4 miles per hour
Step-by-step explanation:
30 miles in 45 minutes
18 miles in 30 minutes
Average speed = total distance / total time
= (30+18) / ( 45 min + 30 min)
= 48 miles / ( 1.25 hr ) = 38.4 miles per hour
The coldest temperature ever recorded in New York City was -15F on February 9, 1934. The next day, the temperature rose 42F. Write an expression for the temperature on February 10.
Answer:
An expression for the temperature on February 10 = -15F +42F = 27F
Step-by-step explanation:
the problem given is based on the algebra of simple addition : -
Addition of Algebraic Expressions : -
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Two ways to solve addition of algebraic expressions.
Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.
so the question can be solved using Horizontal method :-
temperature on 9 Feb = -15F
temperature rose on 10th Feb = 42F
so the temperature on 10th Feb is :
-15F +42F = 27F
therefore, an expression for the temperature on February 10 is
-15F +42F = 27F (answer)
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Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(4, 0) and the line x = –4.
The equation of the graph is y ² = 16x.
What is a Parabola ?A parabola is a U shaped curve ,all the point of which is equidistant from a point called as focus and a line called as Directrix .
In the given question , the graph is a horizontal parabola as the directrix is x = -4 , and as the focus lies on the right side , it is opening towards the right.
The equation for the horizontal parabola is given b y
(y-k)² = 4p(x-h)
h , k is the mid point of focus and the directrix , i.e. the vertex and is given by
h = ([tex]\rm x_f[/tex] +a )/2 , k = [tex]\rm y_f[/tex]
h = (4 -4)/2 , k = 0
h=0 , k = 0
The vertex is 0 , 0
p = (|[tex]\rm x_f[/tex] - a|)/2 = 8/2 = 4
Therefore the equation of the graph is
y ² = 4 * 4 *x
y ² = 16x
The equation of the graph is y ² = 16x.
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Eric is 8 years 4 months old. his mother is 40 years 3 months old. how old was his mother when eric was born?
Answer:
Eric´s mom had:
31 years 11 months
Step-by-step explanation:
1 year = 12 months
40 years = 39 years + 12 months
40 years 3 months = 39 years + 12 monts + 3 monts = 39 years 15 months
Then:
40 years 3 months
- 8 years 4 months
it´s equivalent to:
39 years 15 months
- 8 years 4 months
= 31 years 11 monts
Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred
Answer
100 multiples of 5 greater than 100 are:
Step-by-step explanation:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,
In January, Emma was 62.25 in tall. In December, she was 65.5 inches tall. How much did Emma grow between January and December?
A. 2 inches
B. 3.25 inches
C. 5.5 inches
D. 4 inches
Answer: B. 3.25 inches
Step-by-step explanation:
two months right next to each other
65.5 = final
62.25 = start
65.5 - 62.25 = 3.25 inches
Answer:
3.25
Step-by-step explanation:
65.5 - 62.25
which of the following functions best describes this graph?
A.y=(x-1)(x-1)
B.y=x^2-5x+6
C. y=x^2-x+5
D. y=( x-3)(x+1)
Answer: y = (x-1)(x-1)
Step-by-step explanation:
There is pretty much no vertical shift so that immediately rules out B and C.
We can solve y = (x-1)(x-1) and get x = 1
The graph shows x = 1 as a zero, so we know this graph is correct.
Find the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). ( x - 1) 2 + ( y - 4) 2 = 25 ( x - 4) 2 + ( y - 1) 2 = 25 ( x - 1) 2 + ( y - 4) 2 = 5
Answer:
(x-1)^4 + (y-4)^2 = 25
Step-by-step explanation:
Center at 1,4 means the circle is of the form:
(x-1)^4 + (y-4)^2 = r^2
Find r^2 using distance formula from center to the given point
r ^2 = ( 8-4)^2 + (4-1)^2
r^2 = 16 +9 = 25
so you answer is (x-4)^4 + (y-8)^2 = 25
can u help me figure this out lol
Answer:
Cost of a T-shirt is £4
Cost of a Hat is £1
Step-by-step explanation:
Let T be the cost of each T-shirt and H the cost of each hat
We get two equations based on the cost description
3T + 2H = 14 ...... (1)
2T + 7H = 15 ...... (2)
Multiply (1) by 2 and (2) by 3 so that the T terms are the same
(1) x 2 ==> 6T + 4H = 28 ... (3)
(2) x 3 ==> 6T + 21H = 45 ... (4)
Subtract (3) from (4) to eliminate the T terms
21H - 4H = 45 - 28 or 17H = 17 ==> H = 1
Substituting the value of H in either (1) or (2) will give us a value for T
Substitute in (1)
3T + 2*1 = 14 ==> 3T = 12, T = 4
Check
In (1) 3 *4 + 2 *1 = 14
In (2) 2*4 + 7*1 = 15
So satisfies both equations
Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were $96, and the fixed costs were $574,800. management expects per unit data and total fixed costs to remain the same in 2022. the president of cullumber company is under pressure from stockholders to increase net income by $106,400 in 2022.
The number of units sold in 2021 = 13,300 units.
The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.
Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.
The net income of a company is its profit function, derived by the formula:
Profit = Sales - Cost.
Sales are the product of the number of units sold and per unit selling price.
Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.
Assuming the number of units sold in 2021 to be x,
we can say sales = $152x, and
cost = ${574800 + 96x}.
Therefore, profit = sales - cost,
or, 170000 = 152x - {574800 + 96x},
or, 170000 = 56x - 574800
or, 56x = 574800 + 170000 = 744800,
or, x = 744800/56 = 13300.
Therefore, the number of units sold in 2021 was 13,300.
In 2022, the desired profit = $170,000 + $106,400 = $276,400.
Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:
Sales = $152n, and
Cost = ${574800 + 96n}.
Therefore, profit sales - cost,
or, 276400 = 152n - {574800 + 96n},
or, 276400 = 56n - 574800,
or, 56n = 574800 + 276400 = 851200,
or, n = 851200/56 = 15200.
Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.
When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.
Now we can say that,
Sales = $13300P.
Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.
Therefore, profit = sales - cost,
or, 276400 = 13300P - 1851600,
or, 13300P = 1851600 + 276400 = 2128000,
or, P = 2128000/13300 = 160.
Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.
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25. Given: TE= RI, TI = RE,
Proof
LTDI and LROE are right /
Prove: TD=RO
Answer:
In triangle TEI and ERI
TI = RE ( given)
angle TDI = angle ROE ( given).
TE = RI ( given).
by side angle side criteria
both the triangles are congruent
by cpct ( corresponding parts of congruent triangles)
TD is congruent to RO
Guys, can you please help me write an expression for shaded circle and please expand and simplify for me, guys, please? :)
Answer:
[tex]\sf Shaded \: Area=14 \pi r+49 \pi[/tex]
Step-by-step explanation:
Area of a circle
[tex]\sf A=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
To find the area of the shaded area, subtract the area of the unshaded circle from the larger circle.
Area of the larger circle
[tex]\implies \sf A=\pi (r+7)^2[/tex]
Area of the smaller (unshaded) circle
[tex]\implies \sf A=\pi r^2[/tex]
Therefore, the area of the shaded area is:
[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]
Expand and simplify the expression:
[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]
[tex]\implies \sf A=\pi (r^2+14r+49)-\pi r^2[/tex]
[tex]\implies \sf A=\pi r^2 +14 \pi r +49 \pi -\pi r^2[/tex]
[tex]\implies \sf A=14 \pi r+49 \pi[/tex]
OUTER CIRCLE AREA
π(r+7)²Inner circle area
πr²Area of shaded one
π(r+7)²-πr²π(r²+14r+49-r²)π(14r+49)14πr+49πGeometry fence problem. Need help solving
On Sunday, 370 people bought tickets to the county fair. Tickets cost $7 for
adults and $3 for children. The total revenue from ticket sales on Sunday was
$1750. The system of equations below represents the number of people and
total sales for the county fair on Sunday, where x represents the number of
child tickets and y represents the number of adult tickets.
x+y=370
3x+7y=1750
How many child tickets were sold on Sunday?
OA. 180
B. 160
C. 210
D. 220
The number of children ticket sold on Sunday is 210.
How many child tickets were sold?Given this equations:
x+y=370 equation 1
3x+7y=1750 equation 2
Multiply equation 1 by 7
7x + 7y = 2590 equation 3
Subtract equation 2 from equation 3
4y = 840
Divide both sides by 4
y = 840 / 4
y = 210
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i need the missing blank....
Me no like this meth and me is not smart
halp
