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RideAnS [48]
3 years ago
15

Solve x^2 +5x - 14 = 0​

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

x = - 7, x = 2

Step-by-step explanation:

Given

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5 , thus

(x + 7)x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

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The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to
Maksim231197 [3]

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

<h3>What is the function in this problem?</h3>

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

4 0
2 years ago
If the radius of a circle is irrational, the area must be irrational
nirvana33 [79]
That's a true fact. If you want to get really technical, the area of a circle is. ALWAYS irrational because it's the product of something and PI.
8 0
3 years ago
Tom has r quarters. Express the value of the quarters in cents.
BigorU [14]
C = 0.25r

this is becasue quarters have a value of 0.25 and c is the total cents

hope this helps and have a great day! :)
3 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues.
Lina20 [59]

<u>ANSWER</u>

\sum _{n = 1} ^{18} (6n - 15)

<u>EXPLANATION</u>

The given series

- 9 - 3 + 3 + 9 + ... + 81

This is an arithmetic series with a common difference of

d =  - 3 -  - 9 = 6

The first term of the series is:

a_1 =  - 9

The general term is given by:

a_n =a_1 + d(n - 1)

a_n = - 9+ 6(n - 1)

a_n = - 9+ 6n - 6

a_n =6n - 15

The last term is 81

We can use this to determine the number of terms in the series.

81=6n - 15

81 + 15=6n

6n = 96

n =  \frac{96}{6}  = 16

The summation notation is:

\sum _{n = 1} ^{18} (6n - 15)

4 0
3 years ago
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
natita [175]

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

7 0
3 years ago
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