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2 years ago

Quick algebra 1 assignment for 50 points!

Mathematics

1 answer:

PtichkaEL [24]2 years ago

4 0

See below for the demonstration of (e) graphing a line using x- and y-intercepts

<h3>The graphing method to demonstrate</h3>

To solve this question, we make demonstrate (e) graphing a line using x- and y-intercepts

<h3>The learning goals</h3>

At the end of this exercise, you should be able to graph a line using x- and y-intercepts

<h3>A brief overview</h3>

A linear equation is represented as:

Ax + By = C

Where:

y-intercept = C/B
x-intercept = C/A

This means that we plot the points (0,C/B) and (C/A, 0) on a graph and then connect the points using a straight line.

Once this is done, the line has been graphed.

For instance, a line parallel to 3x + 8y = 16 will have a slope of -3/8

<h3>An original problem to solve</h3>

Plot the graph of the following equation using the intercepts

2x + 4y = 10

We have:

2x + 4y = 10

Set x = 0 to determine the y-intercept

4y = 10

Divide by 4

y = 2.5

Set x = 0 to determine the x-intercept

2x = 10

Divide by 2

x = 5

So, we have:

(5, 0) and (0, 2.5)

Plot the above points and connect the points (see attachment for graph)

<h3>An original problem to solve by another student</h3>

Plot the graph of the following equation using the intercepts

3x + 6y = 18

We have:

3x + 6y = 18

Set x = 0 to determine the y-intercept

6y = 18

Divide by 6

y = 3

Set x = 0 to determine the x-intercept

3x = 18

Divide by 3

x = 6

So, we have:

(6, 0) and (0, 3)

Plot the above points and connect the points (see attachment for graph)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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In a survey of Year 6 pupils, 25% said their favourite colour was red. If 16 pupils said red, how many pupils are there in Year

Slav-nsk [51]

I believe the answer is 64 people because if you divide 16/25%=64 and to be sure you do 16/64 which gives you 25%

4 0

3 years ago

simplify each of the following fractions 1a)2/x4 1b)3x+9/x+5 1c) 14x^3-x^2+9x-2/x^2-16 1d)3x/6x^2-x-2

Vlad [161]

step 1 : 6 Simplify —— x2 Equation at the end of step 1 : 10 6 (((((x2)+3x)-————)-2x)-15)——)+6x)+9) (x2)(((((x^2)x2 Step 2 :Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

x2 + x (x2 + x) • x2 x2 + x = —————— = ————————————— 1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 x2 + x = x • (x + 1)

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x+1) • x2 - (6) x4 + x3 - 6 ———————————————————— = ——————————— x2 x2 Equation at the end of step 3 : 10 (x4+x3-6) (((((x2)+3x)-————)-2x)-15)—————————+6x)+9) (x2)(( x2 Step 4 :Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

6x 6x • x2 6x = —— = ——————— 1 x2

4 0

3 years ago

Leo and her on spent 3/4 hour shopping 5/6 hour preparing the pizzas and 11/12 hour cleaning up after the party how many minutes

Aneli [31]

Answer:

150 minutes

Step-by-step explanation:

First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.

To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.

3/4 h =

3/4 * 60 = 45m

5/6 h =

5/6 * 60 = 50m

11/12 h =

11/12 * 60 = 55m

to calculate the total number of minutes we have to add the 3 values that we have

45m + 50m + 55m = 150m

8 0

4 years ago

Find the surface area

TEA [102]

Answer:

401.92

Step-by-step explanation:

Bases: 2(4^2 π)=32π

Curved Surface: 12*(2*4π)=96π

96π+32π=128π=128(3.14)≈401.92

5 0

4 years ago

3. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight a

Aneli [31]

Given:

howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}

The mean of the first set (howler monkey) = (15 + 16 + 17 + 17 + 17 +17 + 18 + 19)/ 8
The sum of all weights is divided by the number of monkeys weighed (n = 8)

mean = 17

Do the same for the second set (spider monkey) = 12+ 13 + 13+ 14 + 14+ 14 +14 +16 + 16 / 8

mean = 15.75

The ratio of the two is 17:15.75 or 1.08 is to 1.

3 0

3 years ago