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2 years ago

Make x the subject of the formula y =square root ax + b

Mathematics

2 answers:

natita [175]2 years ago

7 0

$~~~~~y=\sqrt{ax+b}\\\\\implies y^2 = ax+b\\\\\implies y^2 -b = ax\\\\\implies x = \dfrac{y^2 -b}a$

Serjik [45]2 years ago

3 0

Step-by-step explanation:

solve y =

$\sqrt{ax + b }$

x = Y² - b

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Steven has a coin collection. He keeps 13 coins in a box, which is only 5% of his entire collection. What is the total number of

zhuklara [117]

Answer:

260

Step-by-step explanation:

5×20=100

So 13 × 20

because 5 percent of the collection is 13 so it is 260.

8 0

2 years ago

1/3 cup of flour is used to make 5 dinner rolls.

RoseWind [281]

we know that

$\frac{1}{3}$ cup of flour is used to make $5$ dinner rolls.

Part a) How much flour is needed to make one dinner roll?

by using proportion

$\frac{\frac{1}{3}}{5} =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}$

therefore

the answer Part a) is

To make one dinner roll is needed $\frac{1}{15}$ cup of flour

Part b) How many cups of flour are needed to make 3 dozen dinner rolls?

Multiply the value obtained in part a) by $36$

$\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}$

$\frac{12}{5} =2\frac{2}{5}$

therefore

the answer Part b) is

To make $3$ dozen dinner rolls are needed $2\frac{2}{5}$ cup of flour

Part c) How many rolls can you make with 5 2/3 cups of flour?

$5\frac{2}{3} =\frac{17}{3}$

by using proportion

$\frac{\frac{1}{3}}{5} =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85$

therefore

the answer part c) is

$85$ rolls

6 0

2 years ago

Read 2 more answers

Which graph shows the solution to the system of linear inequalities?

Korvikt [17]

Answer:

Send q picture of the graphs so I can help

Step-by-step explanation:

need pictures of graph

4 0

2 years ago

Bucket A started with 8 cups of water and is leaking at a rate of 2.5 cups per minute. Bucket B started with 5 cups and is leaki

Minchanka [31]

Answer:

2/3 min

Step-by-step explanation:

We can write these as equations

so 8-2.5x=5-0.5x

We isolate x by subtracting both sides by 5

3-2.5x=0.5x

add 2.5x to both sides

3=2x

divide both sides by 2

x=2/3min

(plz give brainliest)

8 0

3 years ago

Binomial theorem Expand (5 - y)3

Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0

3 years ago