what is the y intercept of -3x-5y=60

Answers

Answer 1

Answer: y-intercept = -12


Step-by-step explanation:

[tex]-3x = 60+5y[/tex]                         Add [tex]5y[/tex] on both side

[tex]-3x-60 = 5y[/tex]                          Subtract [tex]60[/tex] on both sides

[tex]-\frac{3}{5}x-12=y[/tex]                 Divide 5 on both sides

Answer 2

The y-intercept of the line -3x - 5y = 60 is equal to -12.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.

Based on the information provided about this line, a linear equation in standard form that models it is given by;

-3x - 5y = 60

By making y the subject of formula, we have the following:

5y = -3x - 60

y = -3x/5 - 12

By comparison, we have the following:

y-intercept, b = -12.

slope, m = -3/5.

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Related Questions

Compare 4 x 10^6 and 2 x 10^7.
A) 2 x 10^7 is 7 times larger than 4 x 10^6
B) 2 x 10^7 is 6 times larger than 4 x 10^6
C) 2 x 10^7 is 5 times larger than 4 x 10^6
D) 2 x 10^7 is 3 times larger than 4 x 10^6

Answers

Answer:

C. [tex]2\times 10^7[/tex] is 5 times larger than [tex]4\times 10^6[/tex]

Step-by-step explanation:

We want to compare [tex]4\times 10^6[/tex] and [tex]2\times 10^7[/tex].


In order to determine how many times

[tex]2\times 10^7[/tex]

is larger than

[tex]4\times 10^6[/tex],

we need to divide [tex]2\times 10^7[/tex] by  [tex]4\times 10^6[/tex] to obtain;


[tex]\frac{2\times 10^7}{4\times 10^6} =\frac{10}{2} =5[/tex]


Therefore we can see that;


[tex]2\times 10^7[/tex] is 5 times larger than [tex]4\times 10^6[/tex]


The correct answer is C.



A dolphin traveled 5 miles in 15 minutes, a stingray traveled 11 miles in 30 minutes, and a great white shark traveled 92 miles in 4 hours. Which animal Is the fastest?

Answers

Dolphin: 5/15=1/3= .3333- miles per minute

Stingray: 11/30= .3666- miles per minute

Great White Shark: 92/(4 x 60)= .38333- miles per minute

The great white shark is the fastest.


Answer:

The great white shark is the fastest.

Step-by-step explanation:

Would you consider these shapes congruent??

Answers

no it would not be congruent


Hello!

Answer:

No, these shapes would not be considered congruent. In geometry, figures would only be congruent if they have the same size and shape. In the above image, the two figures have the same shapes, but they do not have the same size.

Compare 2.3 and 2.03

Answers

2.3= 2.03 so there for it is equal

Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x + 8 = 6x + 24 Associative property of multiplication 3 −4x + 8 = 24 Subtraction property of equality 4 −4x = 16 Addition property of equality 5 x = −4 Division property of equality

Answers

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24    Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24      Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16    Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4       Division Property of Equality


Select from the drop down menus to correctly complete each statement. - 15 < -13 - 13 < - 11 is - 13 located to the right or to the left of -15 on the number line. is - 11 located to the left or the right of - 13 on a number line.

Answers

On the number line, smaller numbers are located to the left of larger numbers, which are located on the right.

So, if you have two numbers x and y on the number line, the smaller of the two will be on the left, the larger one on the right.

So, -13 is located to the right of -15, because it's larger.

For the same reason, -11 is located to the right of -13.

On the number line, you would have something like

<--------(-15)-------(-13)--------(-11)---------->

On a number line, negative values decreases as we move to the left while positive values increases to the right. Hence,

-13 is located to the right of - 15 -11 is located to the right of - 13

Starting from 0 to the left, we have - 1, - 2, - 3,... which continues in that sequence as decreases as we move to the left of the number line.

Moving towards the left, - 13 appears before - 15 ; Hence - 13 is located relative to the right of - 15 on the number line

Similary, - 11 appears before - 13 ; Hence - 11 is located relative to the right of - 13 on the number line.

Therefore, - 13 and - 11 are located to the right of - 15 and - 13 respectively on the number line.

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Which operation is NOT closed for polynomials?
A) add a trinomial to a trinomial
B) divide a binomial by a trinomial
C) multiply a binomial by a binomial
D) subtract a binomial from a trinomial

Answers

Answer:

Option B is the correct choice.

Step-by-step explanation:

Since we know that polynomials are closed under addition, subtraction and multiplication but not under division because division of two polynomials is not necessarily a polynomial.

Dividing a binomial by a trinomial will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.

Therefore, option B is the correct choice.  


What is 2/5 - [-4 7/10]

Answers

Answer: 5 1/10

Solution:

2/5-[-4 7/10]

2/5-[-(4*10+7)/10]

2/5-[-(40+7)/10]

2/5-[-47/10]

2/5+47/10

2*2/(5*2)+47/10

4/10+47/10

(4+47)/10

51/10

(50+1)/10

50/10+1/10

5 1/10

simplify the following expression into the form a+bi where a and b are rational numbers
(3+7i) (-2-2i) -4i(5-9i)

Answers

Answer:

- 28 - 40i

note that i² = (√-1)² = - 1

expand product of factors using FOIL

= - 6 - 6i - 14i - 14i² - 20i + 36i²

= - 6 - 6i - 14i + 14 - 20i - 36

= - 28 - 40i

Step-by-step explanation:

Got right on PLATO

The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i

What is a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1

i² = (√-1)² = -1

Given the expression:

(3+7i) (-2-2i) -4i(5-9i)

= -6 - 14i -6i + 14 - 4i(5 - 9i)

= 8 - 20i - 20i - 36

= -28 - 40i

The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i

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2 times 5 times 10 to the 5th power

Answers

10 to the 5th power is 100,000. 2 X 5 is 10.
10 X 100,000 is one million.

the answer is 1,000,000. (one million)

2x5x10^5=1000000. You do the exponent first,10^5 = 100000. Then you multiply that by 5, 5x100000=500000. Then by 2, 500,000x2= 1000000.

Rachel earns $21 per day for 22a-22d select true or false for each statement

Answers

22a. False

22b. True

22c. True

22d. False

For each scenario, we multiply Rachel's daily earnings ($21) by the number of days worked to find her total earnings.

In 22a, Rachel earns 21 × 20 = $420, not $421 as stated.

In 22b, Rachel indeed earns 21 × 15 = $315, making the statement true.

Similarly, in 22c, Rachel earns 21 × 13 = $273, confirming the statement as true.

However, in 22d, Rachel's earnings for 13 days amount to 21 × 13 = $273, not $250, rendering the statement false.

Therefore, the true statements are 22b and 22c, while 22a and 22d are false.

Complete Question:

how many planes can two distinct lines have in common

Answers

either 0 or 1 plane(s)

Simplify the following expression.
12 - 5[(4 + 2)/\2 - (22 + 10)]

A.
-198
B.
-238
C.
-18
D.
-98

Answers

$$ 12 - 5[(4 + 2)\div\2 - (22 + 10)]= 157 $$
238 this answer

12 - 5[(4 +2)² - (22 + 10)]

Remember to follow PEMDAS. First, solve both parenthesis

12 - 5[(4 +2)² - (22 + 10)]

12 - 5[(6)² - (32)]

Next, solve the exponent

(6)² = 6 x 6 = 36

12 - 5[(36) - (32)]

Then, solve the bracket.

36 - 32 = 4

12 - 5[4]

Next, multiply

-5 x 4 = -20

Finally, subtract.

12 - 20 = -8

None of the above. The answer is -8. Please check the answers and the question again

~Rise Above the Ordinary


Write the equation of the line in slope intercept form that passes through the points (-1,1) and (2,13)

Answers

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, 1) and (2, 13). Substitute:

[tex]m=\dfrac{13-1}{2-(-1)}=\dfrac{12}{3}=4[/tex]

Therefore the equation of a line is

[tex]y=4x+b[/tex]

Put the coordinates of the point (2, 13) to the equation of a line:

[tex]13=4(2)+b[/tex]

[tex]13=8+b[/tex]     subtract 8 from both sides

[tex]5=b\to b=5[/tex]

Answer: y = 4x + 5

Twenty-seven is the product of three and a number

Answers

It’s the product of three and nine.


This situation can be modeled by an equal.

The word is means equal.

So 27=

The product means multiplication
27 = 3*

Then "a number" is an unknown (we'll call it x)

So the equation is
21=3*x
9=x

The number is 9

I need this today ASAP!!!!

-4 1/2 + 1/3

Answers

The answer of this expression is - 4 1/6

this is the answer to your problem. -4 1/6

HELP ASAP!!!!!!!!!!!!!!

What is an equation of the line that is parallel to y=3x−8 and passes through (1, 8) ?

Answers

Im pretty sure its y = 3x - 17

y=3(1)-8
y=3-8
y=-5#
-5=3x-8
+8 +8
3=3x

1 = x
x = 1#
I think like that

I dont understand this please help me

Answers

A.)  34.68

hope this helps


A is your answer. Take the $289 and multiply that by 0.12.


Hope this helps & good luck. :)

A certain triangle has 30 angle and 60 angle which much be a true statement about the triangle

Answers

Answer:

D

Step-by-step explanation:

The longest side is twice as long as the shortest side because lets suppose I have a triangle that has vertices with angles 30 and 60, the last one has to be 90 because the total is 180 degrees. Now for a 30 60 triangle, if the hypotenuse has a length of 2, the following ratios will hold true for the other two sides. The side that shares the 90 degrees and 60 degrees corners will be of length 1 and the side that shares the 30 degrees and 90 degrees corners (vertices) will be of length sqrt(3). This is true all the time. In this case the correct answer is that the longest side is twice as long as the shortest side because the longest side is the hypotenuse with length 2 and the shortest side will be the one that shares the 90 degrees and 60 degrees corners and is of length 1.

Answer:

A

Step-by-step explanation:

Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?

SHOW ALL WORK

Answers

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12)   ..............adding like terms

P = [tex](2\times5.5)+(2\times12)[/tex] .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.

what is the value of (x+3) folders at $0.10 each

Answers

7+3 =10 or 3(10) 30                                                

spencer hits a tennis ball past his opponent. the height of the tennis ball in feet is modeled by the equation h(t)=-0.075t^2+0.6x+2.5 where t is the time since the tennis ball was hit meausured in seconds. how long does it take for the ball to reach its maximum height?

Answers

The quadratic function is given by the equation [tex]h(t)=-0.075t^2+0.6t+2.5.[/tex]

The maximal height will be at vertex. Find t-coordinate of the parabola vertex:

[tex]t_{vertex}=-\dfrac{b}{2a}=-\dfrac{0.6}{2\cdot (-0.075)}=4\text{ seconds.}[/tex]

At t=4,

[tex]h(4)=-0.075\cdot 4^2+0.6\cdot 4+2.5=-1.2+2.4+2.5=3.7\text { feet. }[/tex]

Answer: it will take 4 seconds for the ball to reach the maximal height of 3.7 feet.

The variable, usually on the x-axis, which is used to predict y-values, is called the ____ variable. It is also sometimes called the explanatory variable.

Answers

Answer: Independent variable

Step-by-step explanation:

The variable usually on the x-axis, which is used to predict y-values, is called the Independent variable.

Discussion:

In most mathematical relations including linear programming problems; we usually have a combination of two variables namely;

Dependent andIndependent variable

The variable whose value determines the value of other variables is termed the independent variable and is usually plotted on the x-axis.

Read more on independent variable:

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a 21-ounce box of cereal costs $2.94, what is the unit price? what is the unit price?

Answers

I'm pretty sure the unit price is $0.14. :)

$2.94/21 = $0.14
$0.14 per ounce
$0.14 is the unit price.

put the following decimals in order from least to greatest 4.08; 4.3; 4.803; 4.038

Answers

4.038; 4.08; 4.3; 4.803 that's from least to greatest

Answer:

4.038 < 4.08 < 4.3 < 4.803

Step-by-step explanation:

We are given four decimal numbers and we have to arrange them in increasing order:

The numbers are 4.08, 4.3, 4.803, 4.038

The expanded form of these decimal numbers are:

[tex]4.08 = 4 + \displaystyle\frac{8}{100}[/tex]

[tex]4.3 = 4 + \displaystyle\frac{3}{10}[/tex]

[tex]4.803 = 4 + \displaystyle\frac{8}{10} + \displaystyle\frac{3}{1000}[/tex]

[tex]4.038 = 4 + \displaystyle\frac{3}{100} + \displaystyle\frac{8}{1000}[/tex]

Thus, the increasing order is:

4.038 < 4.08 < 4.3 < 4.803

estimate 771 divided by 3.6

Answers

Final answer:

To estimate the division of 771 by 3.6, round 3.6 to 4 and divide 771 by 4 to get an approximate result of 192.75.

Explanation:

To estimate 771 divided by 3.6, we can round 3.6 to the nearest whole number, which is 4. The estimation calculation would then be 771 ÷ 4. Dividing 771 by 4 can be done by breaking down 771 into 760 + 11. Now, 760 ÷ 4 equals 190, and 11 ÷ 4 is approximately 2.75. Adding these two results, we get an estimated total of 192.75. Therefore, the estimated result of 771 ÷ 3.6 is approximately 192.75.

what is the place value of the 8 in 2,894?

Answers

The place value of the 8 in 2,894 would be the hundredths.

Hope helps!-Aparri

the value of the eight is 800 because i actually dont know how to explain this but basiclly the 3 rd digit from the right would always be the hundereds place.

How would u do -6-(-1)=

Answers

The answer would be -5 because:

-6-(-1)

Keep Change Flip

-6 + 1

Different signs Subtract..so the answer would be 5 but then you add the negative to it because -6 is greater than the positive 1

-6-(-1)=

-6+1= -5

-5 is the answer

3 more than a number t is greater than or equal to 21

Answers

The equation is saying [tex]t+3\geq 21[/tex]. We can use algebra to subtract 3 from both sides to create [tex]t\geq 18[/tex].

Therefore, the value t is greater or equal to 18.

A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x . What is the function input when the output is 25? 20 -20 10 -10

Answers

if y=-75-5xReorder

75 and −5x.−5x−75
25-75

Answer:  C. -20

Hope this helps!!  Please mark me brainliest??

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