write the equation of a line that has a m= -5 and passes through the point (-1,4)
write a paragraph describing the steps taken to find the linear equation and include the answer the the question in your response.
at least 6 sentences plz
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
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Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy
Answer:
9 cd's
Step-by-step explanation:
Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=____
Answer:
We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Step-by-step explanation:
Given
f(5) = -1f(0) = -5f(5) = -1 means at x = 5, y = -1
Hence, the point (5, -1) lies on the line function.
f(0) = -5 means at x = 0, y = -5
Hence, the point (0, -5) lies on the line function.
Thus, the two points on the linear line function graph are:
(5, -1)(0, -5)Finding the slope between the points (5, -1) and (0, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]
[tex]m=\frac{4}{5}[/tex]
The slope-intercept form of the linear line function
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
We have already determined the slope which is: m = 4/5
We know the y-intercept can be determined by setting x = 0 and solving for y.
Thus, the point (0, -5) represents the y-intercept b = -5.
Now, substituting m = 4/5 and b = -5 in the slope-intercept form
[tex]y = mx+b[/tex]
y = 4/5x + (-5)
y = 4/5x - 5
Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
Help plz ASAP
150% as a fraction or mixed number
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
Product of square of x and cube of y
Where’s the image? I don’t see it
What is the origin of algebraic expresions plz
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
Mr harrles worked 40 houres this week he also got a bounuse of 180$ hemr.Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip
Question:
Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip
Answer:
88 - 2.50x
Step-by-step explanation:
Given :
Initial charge = 12
Charge per kilometer = 2.50
Amount given to driver = 100
Let distance from home to airport = x
Total charge = (initial charge + (distance * charge per km)
Total charge = 12 + 2.50x
Change = (Amount given to driver - total charge)
Change = (100 - (12 + 2.50x))
100 - 12 - 2.50x
88 - 2.50x
s + 2.5s + 2.5s - 3.3 =
Answer: 6s-3.3
Step-by-step explanation:
Answer:
[tex]s=0.55[/tex]
Step-by-step explanation:
[tex]6s=3.3\\s=\frac{3.3}{6}\\s=0.55[/tex]
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
here is the questions sorry lol
Answer:
The first one is c, I’m pretty sure, the second one is a white block, and I don’t fully understand the last question but I’m pretty sure you’re correct
Step-by-step explanation:
Answer:
C. (0,-3)
Blank
D. (4,-5)
Step-by-step explanation:
(-1,-5)is point before translation (+1,+2)
(0,-3) after translation
Ok second one
90 degree counterclockwise rotation about the origin rule
A(x,y) becomes A'(-y,x)
n=(-5,-4) ok so -4 becomes positive 4
(4,-5)
Hope this helps!!
The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.
A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?
Answer:
20
Step-by-step explanation:Please give me a brainly
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
Solve for x
35 = 5(x + 9)
X =
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
can y'all please help 10 points
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
Can someone help me out real quick?
Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0
Answer:
lesser x = -1.84lesser x = -8.16Step-by-step explanation:
Given the expression
[tex]\left(x+5\right)^2-10=0[/tex]
Add 10 to both sides
[tex]\left(x+5\right)^2-10+10=0+10[/tex]
Simplify
[tex]\left(x+5\right)^2=10[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
solve
[tex]x+5=\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=\sqrt{10}-5[/tex]
[tex]x=\sqrt{10}-5[/tex]
[tex]x=-1.8[/tex]
so
[tex]x+5=-\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-\sqrt{10}-5[/tex]
Simplify
[tex]x=-\sqrt{10}-5[/tex]
[tex]\:x=-8.2[/tex]
As -1.84 > -8.16
so
lesser x = -1.84lesser x = -8.16rectangle
rhombus
square
isosceles trapezoid
Answer:
Rhombus
Step-by-step explanation:
It does not have congruent diagonals
Pls help 25 only and brainlist
Answer:
2x+2
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
12x+10 = 2(4x+3) + 2 * width
12x+10 = 8x + 6 + 2w
4x+4 = 2w
2x+2 = w
Calculate the value of A in the triangle below
Answer:
a = 3
Step-by-step explanation:
a² =5² - 4² = 25 - 16 = 9
a = 3
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
find the estimates of x^2-x-2=3
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
y = 7x-6
what is the slope?
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-6 is the y intercept
7 is the slope
y=mx+b
What is the x-intercept of 10x + 4y = -20
Answer:
(-2,0)
Step-by-step explanation:
When finding the x intercept, substitute 0 for Y. -20/10=-2.
I hope this helps
Answer:
The x-intercepts of that is (-2,0).
ten men clear a field of area 10 hectares in four days. How many hectares would 15 men clear in six days?
Answer:
22.5
Step-by-step explanation:
4 days=15
2days=7.5
6=22.5
On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?
Answer:
√1370 or about 37.01
Step-by-step explanation:
use distance formula
√(x2-x1)^2+(y2-y1)^2
sqrt(8-7)^2+(41-4)^2
sqrt(1)^2+(37)^2
sqrt 1+1369
sqrt 1370
= about 37. 01