I need help with math homework algebra #4
Answer:
A. (-5, 0) and (1, -3)
B. Slope (m) = -½
C. y + 3 = -½(x - 1)
D. y = -½x - ⁵/2
E. ½x + y = ⁵/2
Step-by-step explanation:
A. Two points on the line from the graph are: (-5, 0) and (1, -3)
B. The slope can be calculated using two points,(-5, 0) and (1, -3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]
Slope (m) = -½
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - (-3) = -½(x - 1)
y + 3 = -½(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 3 = -½(x - 1)
2(y + 3) = -1(x - 1)
2y + 6 = -x + 1
2y = -x + 1 - 6
2y = -x - 5
y = -x/2 - ⁵/2
y = -½x - ⁵/2
E. Convert the equation in (D) to standard form:
y = -½x - ⁵/2
½x + y = ⁵/2
50 points! Solve the following systems of equations.
Let -4x - 15y = 17 be known as equation 1 and -x + y = -13 as equation 2.
To solve the system of equations, we need to determine the value of the "x" and "y" variables. Let us start by determining the value of the y variable.
Note: Since the second equation looks easier to solve for y (in my opinion), I will determine the value of y in the second equation.
This can be done by isolating y on one side of the equation.
Equation 2: [tex]\bold{-x + y = -13}[/tex]
Add "x" on both sides of the equation:
[tex]\implies -x + y = -13[/tex]
[tex]\implies -x + y + x = -13 + x[/tex]
[tex]\implies y = -13 + x[/tex]
Therefore, the value of y is -13 + x. Let us substitute the value of y, obtained from equation 2, into equation 1 to determine the value of x.
Equation 1: [tex]\bold{-4x - 15y = 17}[/tex]
Substitute the value of y in the equation:
[tex]\implies 4x - 15y = 17[/tex]
[tex]\implies -4x - 15(-13 + x) = 17[/tex]
Simplify the distributive property:
[tex]\implies -4x - 15(-13 + x) = 17[/tex]
[tex]\implies -4x + (195 - 15x) = 17[/tex]
[tex]\implies -4x + 195 - 15x = 17[/tex]
Combine like terms on both sides:
[tex]\implies -4x + 195 - 15x = 17[/tex]
[tex]\implies -19x + 195 = 17[/tex]
Subtract 195 on both sides of the equation:
[tex]\implies -19x + 195 = 17[/tex]
[tex]\implies -19x + 195 - 195 = 17 - 195[/tex]
[tex]\implies -19x = -178[/tex]
Divide -19 on both sides of the equation:
[tex]\implies -19x = -178[/tex]
[tex]\implies \dfrac{-19x}{-19} = \dfrac{-178}{-19}[/tex]
[tex]\implies \bold{x = \dfrac{178}{19} }[/tex]
Now, substitute the value of x in -13 + x to determine the value of y. Once determined, we can put the solution in (x, y) form.
[tex]\implies y = -13 + x[/tex]
[tex]\implies y = -13 + \dfrac{178}{19}[/tex]
[tex]\implies y = \dfrac{-247}{19} + \dfrac{178}{19}[/tex]
[tex]\implies \bold{y = \dfrac{-69}{19} }[/tex]
∴ Solution ⇒ (x, y) ⇒ (178/19, -69/19)
Therefore, the solution to the following system of equations is (178/19, -69/19)
Learn more about system of equations: https://brainly.com/question/13024262
$28.35 bill; 6.25% tax;
20% tip (before tax)
please help!!!!!
You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$1050 in total including the interest.
Step-by-step explanation:
The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
3n+14=-4 =?
Please do this this right (my grade depends on it)
Answer:
Step-by-step explanation:
-6
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours
Which is true about the data shown in the scatter plot
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right in use test prep
4 pts
Question 1
Alan is decorating for a party. He wants one color of streamer, one type of
flower, and one color of tablecloth.
• The streamers can be red, blue, or yellow.
• The flowers can be tulips, daisies, or roses.
• The color of the tablecloth can be plaid, striped, or solid.
How many possible combinations are there?
BI
Search for anything
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Answer:27
Step-by-step explanation:
3^3=27
determine which equation below have x =15 as a solution
Answer:
x-30=-15
Step-by-step explanation:
x-30=-15
subtact 30 from both sides
A table of values of a linear function is shown below.
I don't ever understand this !
255.6 grams to ounces
Answer:
9.016025oz
Step-by-step explanation:
Answer: 9.016
Step-by-step explanation:
for an approximate result, divide the mass value by 28.35
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t)=46+12e^−0.04t, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first six years.
Answer:
The average price of the stock over the first six years is 56.669 US dollars.
Step-by-step explanation:
Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:
[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)
Where:
[tex]t_{O}[/tex] - Initial time, measured in years.
[tex]t_{F}[/tex] - Final time, measured in years.
If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:
[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]
[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)
[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]
[tex]\bar S = 56.669\,USD[/tex]
The average price of the stock over the first six years is 56.669 US dollars.
PLEASE HELP!!!!!!!!!!There are 12 boys and 8 girls in a class.
If 2 more girls join the class, what is
the new ratio for the number of boys to
the number of girls in the class?
Answer:
12:10 or 6:5
Step-by-step explanation:
If 2 more girls join, the ratio will be 12:10 or 6:5.
write equation asap
Answer:
y = 4/3x - 4.5
Step-by-step explanation:
1) find the slope 4/3
2) find the y-intercept
3) done ------> y = 4/3x - 4.5
Answer:
(5,2)(-1,-6)
Step-by-step explanation:
-6-2/-1-5
-8/-6
=4/3
Y+1=4/3(x+6)
Y+1=4/3x+8
Y=4/3x+7
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.
Answer:
a
Step-by-step explanation:
you should Mark me brainliest;)
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3
having trouble with this lesson could anyone help?
Answer:
13.7
Step-by-step explanation:
1.37 x 10^1
Solve the exponent.
1.37 x 10
13.7 is the standard form of 1.37 x 10^1.
Mark me brainliest plzz and thank you
make me brainliest by clicking the crown at the bottom of this answer next to the comments button thank you!!
Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.
Answer:
710 hairbands
Step-by-step explanation:
Total hairbands = (5*dollars spent) + 90
Max hairbands = (5 * 124) + 90
easy points but please answer with correct answer:)
Answer:
C
Step-by-step explanation:
Mary Catherine made 5 gallons of punch for her party. How many cups of punch did she make?
Answer:
80
Step-by-step explanation:
Can someone please help me with this question this is due today
Answer:
Jamie is 56 years old and savannah is 24 years old
Step-by-step explanation:
60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of those numbers.
Eric wishes to triple the recipe how much of each ingredient does
Answer:
wait what? sorry ,,,,,,,
Answer:
multiply
Step-by-step explanation:
it depends on how much eric has currently
Ex: eric has 3 teaspoons of water and 4 cups of flour
3x3=9
so he has 9 teaspoons intead of 3
4x3=12 so he needs 12 cups of flour
Your packaging orders at green market food suppliers.each crate holds four large bottles one in each quadrant identify the mixed fraction in simplified form of bottles in the tow crates in the drawing
Answer: 1/2
Step-by-step explanation:
Answer:
1 and 1/2
Step-by-step explanation:
what number line shows the solution of -5x + 10 > -15
Answer: x<5
Step-by-step explanation: Subtract 10 from both sides. Simplify -15-10 to -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.
A local little league has a total of 65 players, of whom 20% are right-handed. How many
right-handed players are there?
Answer:
13
Step-by-step explanation:
convert percent to decimal: .20
.20 x 65
13
How do I find slope and y-intercept??? Please help me!!
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
What is 2345+ (27457+96584)6- 1/2 divided by 2
Answer:
746590.75
You can alos just type it into a calculator.