MATHEMATICS HIGH SCHOOL

What is the equation of the line that passes through the point (3,-5) and has a
slope of o?

Answers

Answer 1

Answer:

Answer:

y = -5

Step-by-step explanation:

slope of 0 means m = 0 in y intercept form y = mx + b.

they have given you (3, -5), plug these in and solve for your equation.

remember, a line that has a 0 slope means it is a horizontal line.

y = mx + b

-5 = 0(3) + b

-5 = b

so you have, y = -5.

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7(2x+6)-4(9x+6)<-26 what is the answer ?

Answers

7(2x+6)-4(9x+6)<-26
14x+42-36x-24<-26
-22x + 42-24 <-26
-22x +18 < -26
-22x < -44
x < 2

$7(2x+6)-4(9x+6)\ \textless \ -26 \n 14x+42-36x-24\ \textless \ -26 \n -22x+18\ \textless \ -26 \n -22x\ \textless \ -26-18 \n -22x\ \textless \ -44 \n -x\ \textless \ (-44)/(22) =-2 \n x\ \textgreater \ 2$

Translate the sentence into an equation. The product of 8 and a number increased by 4 is 60.a. 8y + 4 = 60
b. 4y + 8 = 56
c. 8 ÷ y + 4 = 56
d. y + 8 + 4 = 56

Answers

Okay so if they say the product of 8 and a number that means multiplication. If they said the quotient of 8 and a number that would mean dividing. so knowing this your answer would be A because 8y means 8 times y which could be any number and then when you add 4 it has to equal 60. The answer is A.
Hope that helps.

Final answer:

The equation for the sentence is 8y + 4 = 60.

Explanation:

The sentence can be translated into the equation 8y + 4 = 60.

Here's why:

The phrase 'the product of 8 and a number' can be represented as 8y, where y is the number.
The phrase 'increased by 4' means adding 4 to the product.
The phrase 'is 60' means the sum is equal to 60, which is represented by the equal sign (=) in the equation.

Therefore, the correct answer is a. 8y + 4 = 60.

Learn more about Translating sentences into equations here:

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If Sean knows the slope of the line is 4 in the line passes through the point (1, negative 8 princesses, which equation should he use to find the Y intercept and what is the y-intercept of the line

Answers

Answer:

Step-by-step explanation:

y + 8 = 4(x - 1)

y + 8 = 4x - 4

y = 4x - 12

Apartment A rents for $600 per month and includes heat and electric. Apartment B rents for $400 per month but heat and electric are not included. Electric averages $40 per month. Heat costs for last year totaled $800. Which apartment is cheaper?

Answers

Appartment B is cheaper. Explanation: we need to compare these two values. A = 600 and B = 400 + cost of heat per month + cost of electricity per month. The cost of heat per year is 800, which gives us a monthly cost of 800/12 = ~$67. So the rent cost for appartment B is 400 + 40 + 67 or 507, which is less than 600.

A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?

Answers

There are 12 lions in the zoo.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

If one-sixth of the lions in the zoo are male lions, then we can set up the following equation:

2 = (1/6)x

where x represents the total number of lions in the zoo.

To solve for x, we can multiply both sides of the equation by 6:

12 = x

x = 12

Thus,

There are 12 lions in the zoo.

Learn more about fractions here:

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Let x be the number of animals in the zoo
Number of male lions in the zoo = 2
1/6(x) = 2
x/6 = 2
x = 12
There are 12 lions in the zoo in total.

How many possible outcomes are there when flipping a coin 7 times?