Answer:12
Step-by-step explanation:
What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)
First, we will use elimination to solve for y.
[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]
Now, we will use what we got for y to solve for x.
[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]
Solution:
[tex](-1, 5)[/tex]
Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Step-by-step explanation:
I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.
First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction
[tex] \frac{4}{ - 4} = - 1[/tex]
So the slope is -1 because the slope is the simplified rise over run fraction.
Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.
Now we know the equation.
[tex]y = - x - 3[/tex]
All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.
[tex]y - 3 = - 1(x + x1)[/tex]
So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.
[tex]0 = - x - 3 \\ x = - 3[/tex]
So when y is 0, then x is -3. Here is the complete point slope form of the line.
[tex]y - 3 = - 1(x - 3)[/tex]
-----------------------------------------------------
To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.
Answer:
y=-1x-3
Step-by-step explanation:
First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.
Please help!
Select the correct answer from each drop-down menu.
On a horizontal number line, -6 is located to the [blank] of -4. So, -6 is [blank] than -4.
First blank- left, right,
Second blank- greater, less,
CORRECT ANSWER GET'S BRAINLIEST!
Answer:
To the "LEFT", so -6 is "LESS"
Step-by-step explanation:
-6 < -4
Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?
Answer:
7 inches on the map is 175 miles.
Step-by-step explanation:
2 inches equals 50 miles. Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Answer:
the answer is B).
Step-by-step explanation:
someone deleted my answer:(
What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help
Answer:
12.4 cm
Step-by-step explanation:
Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]
Where,
[tex] \theta = 90 [/tex]
[tex] \pi = 90 [/tex]
r = 7.9 cm
Plug in the values
Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]
[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]
Length of an arc AB = 12.4 cm (nearest tenth)
Answer:
Step-by-step explanation:
answer is 12.4cm !
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM RQ!!!
Answer:
NO
jk, jk, it's B
Step-by-step explanation:
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop. How did you determine the pair(s) (x, y) that Leah could work to meet the given conditions in item 15?
Answer:
Babysitting= 13.3 hours
Icecream shop= 6.6 hours
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for icecream shop be y
we are told that Leah would like to earn $120 monthly
She babysits for $5 per hour and
works at an ice cream shop for $8 per hour
5x+8y=120---------------1
Leah cannot work more than a total of 20 hours per month
x+y≤20-------------2
The system of equation for the situation is
5x+8y=120
x+y≤20
x=20-y
put x=20-y in eqn 1
5(20-y)+8y=120
100-5y+8y=120
3y=120-100
3y=20
y=20/3
y=6.6 hours
put y=6.6 in eqn 2
x+6.6≤20
x≤20-6.6
x=13.3hours
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒ ......[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒ ....[2]
when they have the same amount.
equate [1] and [2] we get;
Add both sides 2x we get;
Subtract 11 from both sides we get;
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
Step-by-step explanation:
PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
[tex]4−16÷4+4²[/tex]
Answer:
16
Step-by-step explanation:
[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]
What is the quotient when (x + 2) is divided into the polynomial 2x^2- 2x - 12?
A. X+ 3 with a remainder of -2
B. 2x-6 with no remainder
C. 2x-5 with no remainder
D. 2x-3 with a remainder of 5
PLEASE HELP, THANK YOU (-:
Answer:
1 mile per hour
Step-by-step explanation:
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
How do I find the measure of angle H?
Answer: 110 degrees
Step-by-step explanation:
Similar polygons have the exact same angles. So we can fill in 60 for angle E, because it matches up with angle A.
The angles in a quadrilateral add to 360 degrees.
So 60 + 100 + 90 + Angle H = 360
If we solve for angle H, we get that angle H = 110 degrees.
Select all the true statements.
- 1.9 is to the left of -1.48.
-1.9 is to the right of -1.48.
1.9 is closer to 0.
-1.48 is closer to 0.
-1.48 is less than – 1.9.
-1.48 is greater than -1.9.
Answer:
-1.9 is to the left of -1.48.
-1.48 is closer to 0.
-1.48 is greater than -1.9.
Answer:
statements 1,4,5
Step-by-step explanation:
Select Correct Answer From Drop Down Menu
Answer:
Solution (-3, -5)
systems or linear equations
y = x - 2
y = 3x + 4
Step-by-step explanation:
-2,-2 ( 0,4
Kyle used 15 centimeters of tape to wrap 3 presents. How much tape will Kyle need in all if he has to wrap 5 presents? Assume the relationship is directly proportional.
?centimeters
Answer:
25
Step-by-step explanation:
I need help I feel like it's right but then again I get confused on these
Answer:
Ye im pretty sure your right
Step-by-step explanation:
30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.
Answer: My favorite thing to do with my mom is either go shopping with her or cooking yummy desserts, like cookies, brownies, Etc...
The downside is that my mom get's really annoyed with me so i don't really go shopping especially with all this Coronavirus stuff going on.... And also what's your favorite thing to do with your mom???
Thank you so much!!! :D Stay safe and have a great day/night!!! :D
Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?
Answer:
Mom drove for 18 hours.
Dad drove for 6 hours.
Step-by-step explanation:
Given that:
Number of hours for the driving duty = 24 hours
Speed at which the mom drove = 75 miles per hour
Speed at which the dad drove = 60 miles per hour
Total distance driven by both of them = 1710 miles
To find:
Number of hours for which each person drive for ?
Solution:
Let number of hours driven by dad = [tex]x[/tex] hours
Let number of hours driven by mom = (24 - [tex]x[/tex]) hours
Let us have a look at the formula for Distance in terms of Speed and Time.
[tex]Distance = Speed \times Time[/tex]
Distance traveled by Mom = [tex]75 \times x =75x \ miles[/tex]
Distance traveled by dad = [tex]60(24-x) =144-60x[/tex] miles
As per question statement:
[tex]75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours[/tex]
So, Mom drove for 18 hours.
Dad drove for 6 hours.
Please help! thanks !!!!
Answer:
I believe that D is the answer.
Step-by-step explanation:
The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.
(For the X axis, you need to simplify.)
Help with the his question
Answer:
The variable is b books and the equation is gonna be 12b + 16 = 120
Step-by-step explanation:
what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
Given the system of equations, what is the solution?
2x + y = -1
x - y = -5
{(-2, 3)}
{(-8, -3)}
{(2, 7)}
Answer:
Its b trust me
Step-by-step explanation:
I did the work lol
Answer:
y = 9/2 or 4.5
Step-by-step explanation: hope this helps :)
x-y= -5 So what you do here is isolate the variables
+y +y
x = -5+y
After you do this you input the equation as x
2x+y = -1
2(-5+y) = -1
-10 + 2y = -1
+ 10 +10
2y = -9
/2 /2
y = 9/2 or 4.5
Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *
Answer:
Mia's score is 10
Step-by-step explanation:
Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *
We are told that:
Correct points = 10 per answer
Incorrect points = 20 per answer
Mia answered 7 questions correctly and 3 questions incorrectly.
Hence:
7 (10) + 3(20)
= 70 points - 60 points
= 10 points
Mia's score is 10
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation: