f (–3) = -1 , B) f (–1) = 2 , C) f (3) = 5, Mathematical equations that are described in the plane of cartesian coordinates are known as straight-line equations.
What are straight-line equations?
The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).
The variables x and y are related to coordinates on the line in the linear equation y = mx + c.
The formula y = mx + c yields a result for y when we enter a value for x.
As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.
According to our question-
m (x-x1) = y-y1 or
y = mx + c
Where,
Straight-line gradient, or m, is the line's slope.
The Cartesian coordinate that the line crosses is x1, y1.
the constant c
The calculation of the gradient (m) between any two locations on a line
m = Δy / Δx
f (-1) = Because x = -1, the function used is
y = 2, so f (-1) = 2 C) f (-3) = Because -3 -1,
the function used is y = -x-4, so f (-3) = - (- 3) -4 f (-3) = 3-4 f (-3) = -1 f (3) Since the function employed is
= -2x + 11 and x = 3, f (3) = -2 (3) +11, f (3) = -6 + 11, and f (3) = 5.
Hence, f (–3) = -1 , B) f (–1) = 2 , C) f (3) = 5, Mathematical equations that are described in the plane of cartesian coordinates are known as straight-line equations.
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Answer:-1
2
5
Step-by-step explanation:
simple answer
Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.
Answer:
Step-by-step explanation:
If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.
$550 - $550 = $0
Hope this helps!
Answer:If I let +t+=+0+ ( no months have passed )
+D%280%29+=+550+
-----------------
+t+=+1+
+D%281%29+=+550+-+.19%2A550+
+D%281%29+=+550%2A%28+1+-+.19+%29+
-------------------------
+t+=+2+
+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+
--------------------------
This pattern continues, so the general formula is:
+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+
+D%28t%29+=+550%2A.81%5Et+
I hope you see this. Each month 19% of the
PREVIOUS months balance gets subtracted.
Step-by-step explanation:
A percentage is another way to write a _________________.
Answer: fraction
Step-by-step explanation:
Answer:
Decimal
Step-by-step explanation:
For example, 10% can also be .10.
You just move the decimal two places to the right or left depending on which one you want.
Given that 7x – 4y = 6
Find x when y=9
Answer:
6
Step-by-step explanation:
Substitute y for 9: 7x - 36 = 6
Add 36 to both sides: 7x = 42
Divide both sides by 7: x = 6
It's 6, do you need something more simplified?
129-7+6
va dau coroana
Answer:
The correct answer is 128
thank you in advance
Answer:
the answer is option (b)
Answer:
First option: y= -4/3x + 7
Step-by-step explanation:
It's perpendicular
Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?
Answer:
a.) 0.115
b.) 0.087
Step-by-step explanation:
Given,
P(A) = 20% = 0.20
P(B) = 30% = 0.30
P(C) = 50% = 0.50
Let M - major repairing during first year
P(M/A ) = 0.05
P(M/B) = 0.10
P(M/C) = 0.15
a.)
P(M) = P(M∩A) + P(M∩B) + P(M∩C)
= P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)
= (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)
= 0.01 + 0.03 + 0.075
= 0.115
⇒P(M) = 0.115
b.)
P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)
= (0.05)(0.20) / 0.115
= 0.01 / 0.115 = 0.087
⇒P(A/M) = 0.087
Drag each tile to the correct box.
Match each equation with its solution.
x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight
x - 6 = - 4
Answer: x = 2
x + 3 = -7
Answer: x = -10
5x = -2
Answer: x = -0.4
0.5x = 5
Answer: x = 10
The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively
Solving equationsGiven the following equations
x − 6 = -4
Add 6 to both sides
x - 6 + 6 = -4 + 6
x = -4 + 6
x = 2
For the equation x + 3 = -7
Subtract 3 from both sides
x + 3 -3 = -7 - 3
x = -10
For the equation 5x = -2
x = -2/5
x = -0.4
For the equation
0.5x = 5
x = 5/0.5
x =10
Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively
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WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW
Answer:
gdfgdf
Step-by-step explanation:
? QUESTION
Learning Page
The ratio of men to women working for a company is 5 to 4. If there are 243 employees total, how many women work for the company?
OO EXPLANATION
Answer:
108 women
Step-by-step explanation:
add the parts of the ratio together
5 + 4 = 9
divide the total number of employees by 9
243/9 = 27
now multiply the parts of the ratio by 27.
5 X 27 = 135
4 X 27 = 108
For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?
Answer:
0.48688Step-by-step explanation:
Let's solve your equation step-by-step.
d=(−0.306)(1.67)+0.9979
Step 1: Simplify both sides of the equation.
d=(−0.306)(1.67)+0.9979
d=−0.51102+0.9979
d=(−0.51102+0.9979) (Combine Like Terms)
d=0.48688
15 PTS NEED ASAP HELP !!!
Answer:
use photo math it helps.......
Answer:
-1
Step-by-step explanation:
Let's simplify this equation one at a time using the order of operations:
|2 - 5| - (12÷4 - 1)^2
3 - (3 - 1)^2
3 - 2^2
3 - 4 = -1
Hope this helps!!
On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.
AND
On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.
X^4 - 3x^2 + 2y - 1 is a polynomial of degree
Answer:
thankyou uwhdjaossbehsa3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
Answer:
1. 75 feet
2. 27 seconds
Step-by-step explanation:
1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)
2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation
Answer:
Ill help if u still need
Step-by-step explanation:
Please please give answer
Answer:
A
Step-by-step explanation:
iTS JUST a
Answer:
Step-by-step explanation:
i cant see it
What is the y value of y=2x-3 and y=3x-7
Step-by-step explanation:
hope the above solution will help you
User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.
Answer:
In Python:
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
if exam >= project and exam >= lab:
print("Highest Grade: "+str(exam))
elif project >= exam and project >= lab:
print("Highest Grade: "+str(project))
else:
print("Highest Grade: "+str(lab))
if exam <= project and exam <= lab:
print("Lowest Grade: "+str(exam))
elif project <= exam and project <= lab:
print("Lowest Grade: "+str(project))
else:
print("Lowest Grade: "+str(lab))
print("\nGrades below 70")
if exam < 70:
print("Exam: "+str(exam))
if project < 70:
print("Project: "+str(project))
if lab < 70:
print("Lab: "+str(lab))
print("\nAverage: "+str((exam+project+lab)/3))
if exam > 70 and project >70 and lab > 70:
print("All grades are above 70")
Step-by-step explanation:
The next three lines get input for exam, project and lab
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
This condition checks if exam is the highest grade
if exam >= project and exam >= lab:
If true, exam is printed as the highest grade
print("Highest Grade: "+str(exam))
This condition checks if project is the highest grade
elif project >= exam and project >= lab:
If true, project is printed as the highest grade
print("Highest Grade: "+str(project))
If otherwise
else:
lab is printed as the highest grade
print("Highest Grade: "+str(lab))
This condition checks if exam is the lowest grade
if exam <= project and exam <= lab:
If true, exam is printed as the lowest grade
print("Lowest Grade: "+str(exam))
This condition checks if project is the lowest grade
elif project <= exam and project <= lab:
If true, project is printed as the lowest grade
print("Lowest Grade: "+str(project))
If otherwise
else:
lab is printed as the lowest grade
print("Lowest Grade: "+str(lab))
This prints the header "Grades below 70"
print("\nGrades below 70")
This checks if exam is below 70.
if exam < 70:
If true, exam score is printed
print("Exam: "+str(exam))
This checks if project is below 70
if project < 70:
If true, project score is printed
print("Project: "+str(project))
This checks if lab is below 70
if lab < 70:
If true, lab score is printed
print("Lab: "+str(lab))
This calculates and prints the average
print("\nAverage: "+str((exam+project+lab)/3))
This checks if all three scores are above 70
if exam > 70 and project >70 and lab > 70:
If true, the the message that all are above 70, is printed
print("All grades are above 70")
Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180°.
∠4 = 180°-35°-90° = 55°
5m - 4z + 8m + 3 – 2z
Answer:
13m-6z+3
Step-by-step explanation:
5m-4z+8m+3-2z
5m+8m-4z-2z+3
13m-6z+3
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
the 8 for 9.25
Step-by-step explanation:
that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple
It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]
H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5
Answer:
f(x)=x^(2),[2,3]
-2x-h+3
Step-by-step explanation:
HELPPP PLS ILL GIVE BRAINLESS DIE SOON
Answer:
C nnnnnnnnñnnnnn
Step-by-step explanation:
That is the answer C
Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions
Answer:
you gonna answer it
Step-by-step explanation:
Because that's yours book
6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10
Answer:
The answer is 1/10
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.
rectangles
cylinders
rhombii
circles
Answer:
rectangles
Step-by-step explanation:
Answer:
rhombii
Step-by-step explanation:
Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?
$___
Question 5 (4 points)
(06.01)
Evaluate the expression 43 ÷ (7 − 3) × 2. (4 points)
Answer:
21.5
Step-by-step explanation:
(solve in parentheses first)
43/(7-3)x2
(43/4)x2
86/4
21.5
Answer:
[tex]21.5[/tex]
Step-by-step explanation:
First you have to simplify 7 - 4 to 3.
[tex]43 \div 4\times 2[/tex]
Then Simplify 43 ÷ 4 to 10.75.
[tex]10.75 \times 2[/tex]
And lastly, Simplify.
[tex]21.5[/tex]
Therefor, the answer is, 21.5.