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4 years ago

Solve for x. x2 + 7x + 10 = 0

Mathematics

1 answer:

Troyanec [42]4 years ago

6 0

Answer:

x = -2, -5.

Step-by-step explanation:

x^2 + 7x + 10 = 0

Note that 2*5 = 10 and 2 + 5 = 7 so the factors are:

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

x + 2 = 0 gives x = -2

x + 5 = 0 gives x = -5.

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Questions 1-4

Lerok [7]

3623 you can download the answers

3 0

3 years ago

If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t

ivolga24 [154]

Answer:

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

-16t^2 + 96t - 144 = 0

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds

5 0

3 years ago

Gerry is knitting a scarf for a friend. She knits a gauge swatch which measures 4 in. by 4 in. If the square is 30 stitches wide

LiRa [457]

Answer:

Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.

8 0

3 years ago

Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-

Naddika [18.5K]

Answer:

(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

$-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}$

Now,

$-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2$

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

f(x+1)=2f(x)

7 0

3 years ago

Read 2 more answers

Hannah is participating in a marathon. She can run 4 miles in 50 minutes. At this rate, how long will it take Hannah to run 30 m

ra1l [238]

The answer is c

Because if it takes 50 minutes to run 4 miles you need to divide 50/4 and you will get 12.5 and then multiply that by 30 cause she is trying to run 30 miles and that will get you 375 and then divide that by 60 cause their are 60 minutes in a hour and you will get 6.25

3 0

3 years ago