MATHEMATICS HIGH SCHOOL

Express "a number x plus the square root of a number y" as an algebraic expression

Answers

Answer 1

Answer:

x + √y

Step-by-step explanation:

A number x plus the square root of a number y

There are two variables involved

Variable x

Variable y

Plus means addition

Square root of y can be written as

√y

A number x plus the square root of a number y can be written as

x + √y in algebraic expression

The answer is x + √y

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Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

Answers

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 3 = 0

Answers

x² – 3x – 3 = 0

First, add 3 to both sides

x² – 3x – 3 (+3)= 0 (+3)

x² – 3x = 3

Solve for a. 2ax = -3x; a = -3/2

x² - 3x + (-3/2)² = 3 + (-3/2)²

Simplify

x² - 3x + (-3/2)² = 21/4

Complete the square

(3 - 3/2)² = 21/4

solve:

x - 3/2 = √(21/4); x = (√21 + 3)/2

x - 3/2 = -√(21/4); x = ((-√21) + 3)/2

Answers:

x = ((√21) + 3)/2 & x = ((-√21) + 3)/2

hope this helps

Hello!

I believe the answer is X = -0.79, 3.79.( rounded to nearest hundredth )

I hope it helps!

the spaceship you are riding to get to mars is going 1000 mph how long will it take to get to mars at that rate of speed if you are 15,000 miles away?

Answers

Answer:

15 hours

Step-by-step explanation:

Speed is defined as the distance moved per unit time hence s=d/t and making t the subject of the formula then t=d/s where t is time taken, d is distance covered and s is the speed.

Substituting 15000 miles for d and 1000 mph for s then

T=15000/1000=15 hours

Therefore, maintaining the same speed, it will take 15 hours to get to mars

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

Answers

87 dollars hope this helps I can’t really show you how to do it though because I think it will over complicate the problem but

Answer:

$87

Step-by-step explanation:

Convert the percentage into a decimal.

40% as a decimal would be 0.4

Multiple 0.4 by 145

You would get 58

Subtract 58 from 145

You get 87

Okay so im really not in the mood sorry not worth that much points and hopefully you slept well and stuff like that but anyways thanks :)8 x 4 x 6 x 9 x 3 x 10 + 25 + 68 = ?

Answers

8 x 4 x 6 x 9 x 3 x 10 = 51,840
Now add our 25 and 68 to the total.
51,840 + 25 + 68 = 51,933

Therefore your answer is 51,933

By the way this was a really easy question again you should message me instead of using that many points!

love, the Pineapple.
<3

25+68=93

8 x 4 x 6 x 9 x 3 x 10 = 51840

51840 +93 = 51933

I hope this helps=)

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.