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2 years ago

Solve x^2 - 3x - 10 = 0

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

6 0

Answer:

5 and -2

Step-by-step explanation:

${x}^{2} - 3x - 10 = 0$

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x - 5)(x + 2) = 0$

$x - 5 = 0$

$x = 5$

$x + 2 = 0$

$x = - 2$

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Write an exponential function in the form y=ab^xy=ab

Zarrin [17]

Answer:

Step-by-step explanation:

$y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x$

8 0

1 year ago

This is a simultaneous equation and I need help 5x+3y=27 2x+y=10

Serhud [2]

Answer:

(3, 4 )

Step-by-step explanation:

5x + 3y = 27 → (1)

2x + y = 10 ( subtract 2x from both sides )

y = 10 - 2x → (2)

substitute y = 10 - 2x into (1)

5x + 3(10 - 2x) = 27

5x + 30 - 6x = 27

- x + 30 = 27 ( subtract 30 from both sides )

- x = - 3 ( multiply both sides by - 1 )

x = 3

substitute x = 3 into (2)

y = 10 - 2(3) = 10 - 6 = 4

solution is (3, 4 )

4 0

1 year ago

Read 2 more answers

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

Question:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

Answer:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

Step-by-step explanation:

Given:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

To Find:

Whose basket is heavier and by how much?

Solution:

Step 1: Finding the weight of Ted’s basket

Weight of Ted’s basket = Number of apple in the basket X Weight of each apple

Weight of Ted’s basket = $5 \times 7\frac{1}{4}$

Weight of Ted’s basket = $5 \times \frac{29}{4}$

Weight of Ted’s basket = $\frac{145}{4}$

Weight of Ted’s basket = 36.25 --------------------------------(1)

Step 2: Finding the weight of Robin’s basket

Weight of Robin’s basket = Number of apple in the basket X Weight of each apple

Weight of Robin’s basket = $6 \times 6\frac{1}{2}$

Weight of Robin’s basket = $6 \times \frac{13}{2}$

Weight of Robin’s basket = $\frac{78}{2}$

Weight of Robin’s basket = 39 ounces--------------------------(2)

Comparing equation (1) and (2)

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket > Weight of Ted’s basket

5 0

3 years ago

What is 2. 3/6 +1/6 +1 2/3

Kaylis [27]

3/6+1/6+1 2/3
Make 1 2/3 into an improper fraction:
5/3
Give them all common denominators by multiplying both sides of 5/3 by 2:
10/6
Then the question becomes:
3/6+1/6+10/6
Now you add the numerators and the denominator stays the same:
14/6
Now you can simplify by dividing both sides by 2:
7/3
Now you can make it a mixed number:
2 1/3

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through (-2, 6) and (2, 14) in slope- intercept form.

creativ13 [48]

Answer:

Y= 2x+10

Step-by-step explanation:

(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)

You add 2 every time

6 0

2 years ago