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2 years ago

Factor the following.

Mathematics

2 answers:

CaHeK987 [17]2 years ago

7 0

Answer:

D.(y+10)(y-6)

Step-by-step explanation:

Let's factor y2+4y−60

y2+4y−60

The middle number is 4 and the last number is -60.

Two numbers that when you....

Add together to get 4

Multiply together to get -60

Try -6 and 10:

-6+10 = 4

-6*10 = -60

Fill in the blanks in

(y+_)(y+_)

with -6 and 10 to get...

(y-6)(y+10)

Verizon [17]2 years ago

6 0

The answer is D (y+10)(y-6)
because

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How many terms are there in the following expression:

sweet [91]

3 terms

when you combine like terms you are left with 10x + y + 8 which is 3 terms.

7 0

2 years ago

Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1

weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

$f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})$

This gives

$f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})$

Evaluate the products

$f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})$

Evaluate the like terms

$f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}$

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

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7 0

1 year ago

1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.

frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. $m = -\frac{23350}{13}$

c. $y = -\frac{23350}{13}x + 23350$

Step-by-step explanation:

Given

$Years = 13$

$Total\ depreciation = \$23350$

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

$m = \frac{23350}{13}$

Because it is depreciation, it means the slope represents a deduction.

So,

$m = -\frac{23350}{13}$

Solving (c): The straight line equation

The general format of an equation is:

$y = mx + b$

Where

$m = slope$

$b = y\ intercept$

In (a), we have that:

$y\ intercept = 23350$

In (b), we have that:

$Slope\ (m) = -\frac{23350}{13}$

Substitute these values in $y = mx + b$

$y = -\frac{23350}{13}x + 23350$

<em>Hence, the depreciation equation is: </em> $y = -\frac{23350}{13}x + 23350$ <em></em>

8 0

2 years ago

I can’t figure this out at all.

Liula [17]

The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.

6 0

3 years ago

Megan hiked 15.12 miles in 6.3 hours if Megan hiked the same number of miles each hour how many miles did she hike each other

notsponge [240]

Total hours of hiking is 15.12 miles

Time taken is 6.3 hours

The number of miles hiked per hour would be

Total hours ÷ time taken

$\frac{15.12}{6.3}$