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3 years ago

How to factor x^2-2x-15

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Given

x² - 2x - 15

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)

The factors are - 5 and + 3, since

- 5 × 3 = - 15 and - 5 + 3 = - 2, thus

(x - 5)(x + 3) ← in factored form

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Tom spent 1/6 of the day working in the flower bed. Tom spent 2/3 of that time adding mulch to the flower bed. What fraction of

maxonik [38]

Since 1/6 of the day was spent in the flower bed and 2/3 of that was spreading mulch, we need to find 2/3 of 1/6 to find out how much of the day was spreading the mulch.

In math "of" means times
"is" means equals

2/3 of 1/6 is

translates to

2/3 x 1/6 =

Now we just multiply the numerators across and denominators across then reduce if possible...

2/3 x 1/6 = 2/18

2 and 18 both divide by 2 so it reduces

2/18 = 1/9

Tom spent 1/9 of the day spreading mulch.

7 0

3 years ago

What is the equation of the graph

AveGali [126]

Answer:

$y = 2x^2 + 1$

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

$y = a*x^2 + b$

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

$3 = a * (1)^2 + 1\\2 = a$

Awesome, we've found both values. And we can write the result.

$y = 2x^2 + 1$

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0

2 years ago

What are the solutions of the equation?<br> X - 10=3

Nookie1986 [14]

Answer: X = 13

Step-by-step explanation:

10 + 3 = 13

13 - 10 = 3

4 0

2 years ago

Evaluate the value of x to 1 d.p<br><br><br> Thank you

Keith_Richards [23]

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

${a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8$

6 0

3 years ago

If AB,BC, and AC are 7 inches, 9 inches, and 10 inches, respectively, and XY is 9 inches, find XZ

Ket [755]

Answer:

d) 12.9 in

Step-by-step explanation:

ΔABC ≅ ΔXYZ

AB/AC = XY/XZ

7/10 = 9/XZ

XZ = 10 *9/7

XZ = 12.9

Answer:

d) 12.9 in

5 0

3 years ago