Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
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Choose the correct answer choice.
Answer:
The T shirt choice
Step-by-step explanation:
Both values increase at the same rate therefore is proportional.
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2-2 + 43
Answer:
Subtract 3.1 from 12.9
Hope it helped
I don’t understand.
Answer:
y = -2/3x
Step-by-step explanation:
A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.
Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Answer:
x=10 and y= 8.
Step-by-step explanation:
Given that the cost of 1 banana = $0.60
Cost of 1 mango = $1.50.
Total cost= $ 18
Here, x be the number of bananas and y be the numbers of mangos,
As the number of bananas is 2 more than the number of mangos,
So, x=y+2
[tex]\Rightarrow y=x-2 \cdots(i)[/tex]
Cost of x bananas [tex]=\$ 0.60 \times x[/tex]
Cost of y mangos [tex]=\$ 1.50 \times y[/tex]
Total cost = 0.6x+1.5y
[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]
Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.
Both the graphs intersect at the point (10,8) as shown in the graph.
So, the solution of both the equations is, (x,y)=(10,8). i.e
The number of bananas = x= 10 and
the number of mangos = y = 8.
Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Given :
Factory has supplies expenses of $1135.78 a day.
Company earns $60,128.72 in one week.
To Find :
The factory's total profit or loss in one week.
Solution :
Expenses of factory of a week :
E =$( 1135.78 × 7 ) = $7950.46 .
Now, profit is given by :
P = $60,128.72 - $7950.46
P = $52178.26
Therefore, total profit of factory in one week is $52178.26 .
Hence, this is the required solution.
Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.
m∠A= __∘
m∠C= __∘
Answer:
[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The cosine ratio is defined as:
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:
[tex]\displaystyle \cos A=\frac{17}{38}[/tex]
[tex]\cos A=0.4474[/tex]
Using a scientific calculator, we get the inverse cosine:
[tex]A=\arccos(0.4474)[/tex]
[tex]A\approx 63^\circ[/tex]
Since A+B+C=180°, we can solve for C:
C = 180° - A - B
C = 180° - 63° - 90°
C = 26°
Thus:
[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]
In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.
To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:
1. Sine (sin): [tex]\(\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}\)[/tex]
2. Cosine (cos): [tex]\(\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}\)[/tex]
3. Tangent (tan): [tex]\(\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}\)[/tex]
Given:
AC = 38
AB = 17
To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.
1. For m∠A:
[tex]\(\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle A= \sin^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]
2. For m∠C:
[tex]\(\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle C = \cos^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]
Let's calculate the angles:
[tex]1. \(m\angle A \approx \sin^{-1}\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ\)\\\\2. \(m\angle C \approx \cos^{-1}\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ\)[/tex]
Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).
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Henry left for the lake in the morning and it was 78°F.
When he arrived at the lake the temperature had increased
7° and by lunch it increased another 5°. What is the
temperature when Henry was eating lunch?
Answer:
The temputure is -64
Step-by-step explanation:
YALL BETTER ANSWER THIS PLSSSSSSSSSSS
Answer:
= 3/16(0.1875)Step-by-step explanation:
explanation in the image.Answer:
Step-by-step explanation:
Take out lignes
-1/4x-3/7
= -7/12
44.8 is what percent of 160?
Answer:
28% .................
Answer:
28%
Step-by-step explanation:
100%/x%=160/44.8
(100/x)*x=(160/44.8)*x - we multiply both sides of the equation by x
100=3.5714285714286*x - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28
now we have:
44.8 is 28% of 160
I need help please
A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.
Answer:
B,D, and the last E
Step-by-step explanation:
Can someone help me cuz i need help
Answer:
f
klllllllllk
Step-by-step explanation:
simplify (-sqrt of 125)^3
Answer:
5
Step-by-step explanation:
[tex]\sqrt[3]{125} =5*5*5=5[/tex]
what is the equation of a line that is parralel to 2x+3y=3 and passes through the point (3,-4)
Hellllllllllllppppppppppp
Answer:
The answer is 5 1/2! So what you are looking for is 1/2.
Step-by-step explanation:
Answer:
11/2
Step-by-step explanation:
Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
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IL GIVE BRAINLIST!! PLEASE HELP! THERES 2 ANSWERS JUST SAYING!!
Answer: Option 2
Pls mark me brainilest!
Step-by-step explanation:
3*10^4+2.5*10^0
ghfuigffhh
Answer:
30002.5
Step-by-step explanation:
if g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)
Solving the system using equations ( 15 points)
3x+2y=17
2x+5y=8
Answer:
{x,y}={ 11 /69 ,− 11 /10 }
Step-by-step explanation:
what expression is equal to(5+x-2)×2
An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees
Answer:
z+42+42=180
Step-by-step explanation:
Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to 180. So use this equation:
z+42+42=180
If you need to find z, it is 96.
Check: 96+42+42=180
One Saturday, a butcher sells a total of b pounds of beef at $6.00 per pound. She also sells some pork for $7.00. On Sunday she sells b pounds of beef again, but at the sale price of $4.00 per pound. She also sells some pork for $9.00. Given that she made the same revenue of d dollars each day, which of the following systems of equations can be used to find out how many pounds of beef, b, she sold each day?
The equations that can be used to find out how many pounds of beef, b, she sold each day will be:
d = 6b + 7.
d = 4b + 9
How to illustrate the equation?From the information given, the butcher sells a total of b pounds of beef at $6.00 per pound and she also sells some pork for $7.00.
Therefore, the equation will be:
d = (6 × b) + 7.
d = 6b + 7.
d = (4 × b) + 9
d = 4b + 9
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The figures below are similar. Find the length of the missing side.
90
10
7
Х
36
4
14
126
X=
Answer:
63
Step-by-step explanation:
multiply the side by 9
what does angle DFE= in degrees?
Type only number for answer
A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π
Answer:
30 cm
[tex]863.5\ \text{cm}^2[/tex]
Step-by-step explanation:
d = Diameter of cylinder = 4 cm
n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]
Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper
Circumference of the paper
[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]
Total length of the paper will be the number of turns multiplied by the length of one turn
[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]
Length of the strip of paper is 30 cm.
2.
l = Slant height = 10 cm
d = Base diameter = 10 cm
r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]
Total surface area of cone is given by
[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]
The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].
Brad had 10 crickets in his pet lizard’s cage. After one day, Brad’s lizard has eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. how many crickets were left in the cage at the end of the second day?
2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 | 1
21 | 3
35 | 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
A cab company charges $3.10 flat rate in addition to $0.85 per mile. Rex has no more than $15 to spend on a ride. Write an inequality that represents Rex's situation. How many miles can Rex travel without exceeding his limit? Round off your answer to nearest tenth.
Answer:
Step-by-step explanation:
Let the total number of miles Rex can travel be x;
If a cab company charges $0.85 per mile, then x miles will cost $0.85x
If the flat rate rate charge is $3.10, the total price for x miles will be;
0.85x + 3.10
Since Rex has no more than $15 to spend on a ride, the inequality to represent the equation will be;
0.85x + 3.10 ≤ 15 (less than or equal to means that the total value cannot exceed $15)
Next is to solve for x
Given
0.85x + 3.10 ≤ 15
subtract 3.10 from both sides
0.85x + 3.10-3.10 ≤ 15-3.10
0.85x ≤ 15-3.10
0.85x ≤ 11.90
x ≤ 11.90/0.85
x ≤ 14
This means that Rex can travel 14 miles without exceeding his limit
Answer:
[tex]3.10 + 0.85m \leq 15[/tex]
[tex]m \leq 14.0[/tex]
Step-by-step explanation:
Given
[tex]Flat\ Rate = \$3.10[/tex]
[tex]Addition = \$0.85[/tex] (per mile)
[tex]Maximum\ Amount = \$15[/tex]
Required
Determine the inequality that represents the scenario and solve
Let the number of miles be represented by m.
The company's charges can be calculated using:
[tex]Flat\ Rate + Additional\ Charges * m[/tex]
Substitute values
[tex]\$3.10 + \$0.85 * m[/tex]
Rex can't exceed $15 implies that the company's charges can't exceed Rex's budget.
This is expressed as:
[tex]\$3.10 + \$0.85 * m \leq \$15[/tex]
[tex]\$3.10 + \$0.85m \leq \$15[/tex]
[tex]3.10 + 0.85m \leq 15[/tex] ---- The inequality
Solving for m: Collect Like Terms
[tex]0.85m \leq 15 - 3.10[/tex]
[tex]0.85m \leq 11.9[/tex]
Divide through by 0.85
[tex]m \leq 11.9/0.85[/tex]
[tex]m \leq 14.0[/tex] ---- The solution
What is the image point of (-3,3) after the transformation R180° 0 T-3, -4?
Answer:
Image point → (6, 1)
Step-by-step explanation:
Given point → (-3, 3)
Transformation to be done → [tex]R_{180}0T_{-3,-4}[/tex]
Transformations to be done,
Step - (1). Translation of the given by 3 units left and 4 units down.
Step - (2). Followed by the rotation counterclockwise 180° about the origin.
Rule for step (1),
(x, y) → (x - 3, y - 4)
By this rule,
(-3, 3) → [(-3 - 3), (3 - 4)]
→ (-6, -1)
Rule for step -2,
(x, y) → (-x, -y)
(-6, -1) → (6, 1)
Therefore, following these two steps coordinates of the image point → (6, 1)