MATHEMATICS HIGH SCHOOL

Solve each quadratic equation. Show your work.
x^2 + 3x = 10

Answers

Answer 1

Answer: $x^(2) +3x=10$
$x^(2) +3x-10=0$
$x^(2) +5x-2x-10=0<span>$
x(x+5)-2(x+5)=0
(x-2)(x+5)
x=2, x=-5

Answer 2

Answer:

Answer:

Step-by-step explanation:

We shall use middle term split method to find the factor

here middle term is 3 ,factor of -10 which gives -3 on adding

such numbers are -10 = 5 and -2

5+(-2) = 3

And then making two groups and simplifying it ,we get the roots

$x^2+3x =10 \nx^2+3x-10 =0 \nx^2+(5-2)x-10=0 \nx^2+5x-2x-10=0 \nx(x+5)-2(x+5) = 0\n(x-2)(x+5) =0 \nx=2 or x= -5 \n$

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Yuul ailswer is incorrect. Translate the sentence into an equation. Seven times the sum of a number and 2 is 6. Use the variable c for the unknown number.
Kala purchased a prepaid phone card for S15. Long distance calls cost 24 cents a minute using this card. Kala used her card only once to make a longdistance call. If the remaining credit on her card is $5.64, how many minutes did her call last?
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?Answers:(–3, –0.90)(–2.5, –0.75)(4.5, 1.35)(8, 2.40)
20x3 + 12x2 + 5x + 3

The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x + 13. Which of the following shows the area of the rectangle in terms of x?(L ⋅ W)(x) = 10x3 − 4x + 13
(L ⋅ W)(x) = 10x3 − 20x2 + 65x
(L + W)(x) = 2x2 + 1x + 13
(L + W)(x) = 2x2 − 9x + 13

Answers

A= l x w
5x * 2x^2 - 4x + 13
10x^3 - 20x^2 + 65x

The function that represents the area of the rectangle is: B. (L × W)(x) = 10x³ - 20x² + 65x.

What is the Area of a Rectangle?

Area of a rectangle = (length × width)

Applying the area of a rectangle formula, the area of the rectangle would be:

(L × W)(x) = 5x(2x² - 4x + 13)

Apply the distributive property

(L × W)(x) = 10x³ - 20x² + 65x

The area in terms of x is: (L × W)(x) = 10x³ - 20x² + 65x.

Learn more about area of a rectangle on:

brainly.com/question/25292087

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Kyoki will accept lawn mowing jobs that take him less than 1 hour or more than 4 hours. 1. Write two inequalities to describe the jobs Kyoki will take.

Answers

Answer:

There is no short answer.

Step-by-step explanation:

Let's say that the time it takes for Kyoki to finish the job is X and the Y represents if he takes the job or doesn't in 1 or 0. Than for the conditions given in the question an inequality can be written as;

Y = 1 for T < 1

Y = 0 for 1 < T < 4

Y = 1 for T > 4

I hope this answer helps.

Find the value of x that makes the equation true.9x = –54

A.6

B.–9

C.–6

D.–54

Answers

To find the answer you divide both sides by 9. Which then gives you x=-6 as your answer.
C. -6

You are purchasing a new car. In order to determine which car will provide maximum savings, you’ve researched miles per gallon (mpg) ratings of cars. If gas is $3.45 per gallon and you drive an average of 18,000 miles per year, the following rational equation is given: g(x)= 3.45 (18,000/old miles per gallon)-3.45(18,000/new miles per gallon)

In the formula what do you find when you divide 18,000/old miles per gallon?

Answers

Answer:

$(18000)/(x)$ defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 $((18000)/(x))$ - 3.45 $((18000)/(y) )$

Here, $(18000)/(x)$ defines total number of gallons of the gas consumed by the old car in one year.

Part DWhat do the measures of angles BDA and BEA and the fact that AD and AE are radii of circle A tell us about BD and BE

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Answers

Answer:

BD and BE are tangents to the circle

Step-by-step explanation:

Given

See attachment

Required

What does BD and BE represent?

From the attachment, we have:

$\angle BDA = 90^\circ$

$\angle BEA = 90^\circ$

$Radii = AD\ and\ AE$

The measure of angles between a tangent and the radius of a circle is always $90^\circ\n$

So, because $\angle BDA = 90^\circ$ and AD is a radius, then BD is a tangent to circle.

Similarly,; $\angle BEA = 90^\circ$ and AE being a radius implies that BE is a tangent to circle.

Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of years since the iguanas were introduced into the garden.i(x) = 12(1.9)^x

Rewrite this function in a form that reveals the monthly growth rate of the population of iguanas in the garden. Round the growth factor to the nearest thousandth.