Explain how to graph a line when given the standard form Ax + By = C of a linear equation.

PLEASE HELP ME

Answer:

[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]

Step-by-step explanation:

[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]

[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Given that:

1/(√7 - 2)

The denominator is (√7-2).

We know

The rationalising factor of (√a-b) is (√a+b)

Therefore, the rationalising factor of √7-2 is √7+2.

On rationalising the denominator them

⇛[1/(√7-2)]×[(√7+2)/(√7+2)]

⇛[1(√7+2)]/[(√7-2)(√7+2)]

Since, (a-b)(a+b) = a²-b²

Where, a = √7 and b = √2.

⇛[1(√7+2)]/[(√7)²-(2)²]

⇛[1(√7+2)]/[(√7*7)-(2*2)]

⇛[1(√7+2)]/[7-4]

⇛[1(√7+2)]/3

⇛(√7+2)/3

Hence, the denominator is rationalised.

also read similar questions:

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.

Answer:

-32 - 8 = -40

Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8

then for 2 he did -6 and -8

then: 14............

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.

Reasons:

The amount the school band is raising for the trip = $9,500

Goal of the flutist = To raise 18% of the total amount

Goal of the trumpeters = 85% of the flutist's goal

Required:

The group that raise more money, given that their goals are met

Solution:

Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.

Required:

The difference in the amount raised by the students

Solution:

The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710

Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5

Learn more about percentages here:

https://brainly.com/question/1367867

factor of 7a²b, 14abc

7a²b, 14abc= 7ab

Answer:

58

Step-by-step explanation:

58 because you divide 200 by 100 then getting that answer (3) then divide 175 by 3 which equals one percent and you get 58.333 you round it to the nearest whole and u get 58

I got the X and Y wrong, its 4. Sorry! mark the other answer instead

Reason:

9 - 8 = 1

7 - 3 = 4

Because that 7 and 3 are Y, 4 goes over. so it makes a whole number

Answer:

A. 4

Step-by-step explanation:

yeah-ya............. right?

Answer:

45

Step-by-step explanation:

They are both the same length-

Answer:

  30 units

Step-by-step explanation:

A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:

  5² +12² = b² = 169

  b = √169 = 13

The perimeter is 5+12+13 = 30 units.

Answer:

yes less than a min

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

Answer:

x = 15

Explanation:

First, add both equations on one side, and set it equal to 180° because it's supplementary:

2x + 8 + 8x + 22 = 180

combine like terms:

10x + 30 = 180

subtract 30 on both sides of the equation and you end up with:

10x = 150

divide both sides by 10 and you get:

x = 15

Answer:

x=5

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Class 11

>>Maths

>>Sets

>>Complement of Sets

>>If U = {1,2,3,4,5,6, 7, 8, 9 }, A = {2,

Question

Bookmark

If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that

(i) (A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

=A

′

∪B

′

Medium

Solution

verified

Verified by Toppr

U={1,2,3,4,5,6,7,8,9}

A={2,4,6,8}

B={2,3,5,7}

(i) (A∪B)

′

={2,3,4,5,6,7,8}

′

={1,9}

A

′

∩B

′

={1,3,5,7,9}∩{1,4,6,8,9}={1,9}

∴(A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

={2}

′

={1,3,4,5,6,7,8,9}

A

′

∪B

′

={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}

∴(A∩B)

′

=A

′

∪B

Answer:

21(3a-2b)

Step-by-step explanation:

Answer:

21(3a-2b)

Step-by-step explanation:

63a - 42b​

21(3a-2b)

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

Answer:

20 inches

Step-by-step explanation:

If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.

[tex]y=\frac{2}{5}x[/tex]

The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.

%95.79 because it is

Answer:

I Think it's True (If it's not please don't hate)

Answer:

8.72×10²

Step-by-step explanation:

Answer:

$348.75

Step-by-step explanation:

$465 * 25%= 116.25

465-116.25 = $348.75

Answer:

Step-by-step explanation:

If the picking is random, there are 4 chances out of a possible 13 options.

4/13

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

Find out more about this at https://brainly.com/question/11459708.

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis

if 17x-18=7x

then 17x-7x=18

10x=18

x=1.8

Answer:

B,C,D

Step-by-step explanation:

24ft =288 in A IS FALSE

2 miles = 10560 ft B IS TRUE

1/2 miles = 2640 ft C IS TRUE

0.5 miles = 880 Yds D IS TRUE

0.5 ft = 6 in E IS FALSE