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Nikolay [14]
3 years ago
14

GUYS I NEED HELP ITS URGENT! WILL MARK BRAINLIEST!

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

k = 13 The smallest zero or root is x = -10

===============================

Work Shown:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Hope this was Right

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Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 7, and b = 18.
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Answer:

none

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

8 0
2 years ago
Max spent 11 dollars on items. He bought milk, eggs and fabric softener. The eggs cost one fifth of what the milk cost and the f
LiRa [457]
M + e + f = 11
e = 1/5m
f = 3m

m + 1/5m + 3m = 11 <== ur equation
5/5m + 1/5m + 15/5m = 11
21/5m = 11
m = 11 / (21/5)
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m = 55/21
m = 2.619 rounds to 2.62...milk

e = 1/5m
e = 1/5(2.62)
e = 0.53 .....eggs

f = 3m
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4 0
3 years ago
Read 2 more answers
A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the
Nookie1986 [14]
X the first account  interest = x/100*2 = 2x/100 
(x + 800)/100 * 4 =( 4x + 3200)/100 
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C is the answer
3 0
3 years ago
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*7. A family going on vacation rents a van for $160 plus $75 per day. The total bill was $760. How many days was the van rented?
Lina20 [59]
The answer is 7 days
3 0
2 years ago
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a
vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

\frac{x}{10} +\frac{x}{3} = 6.5

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Than the equation becomes

3x +10x = 195

solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

6 0
3 years ago
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