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3 years ago

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -4x^2+3x+1=0

1 answer:

5 0

<span>-4x^2+3x+1=0
D = b</span>² - 4ac = 3² - 4 * (-4) * 1 = 9 + 16 = 25
D>0 ⇒ <span>this equation has two solutions.</span>

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Which of these is a safe practice when working with horses?

Minchanka [31]

Answer:

i think the awnser is c . if unattended, leave the horse tire up

3 0

3 years ago

Write and solve a system of equations for this question please

andre [41]

Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s we will use this in the second equation....

2(b+s)=30

b+s=15, now use b found above in this to get:

9+s+s=15

2s+9=15

2s=6

s=3, and since from earlier b-s=9, b=9+s so

b=12

So the speed of the boat is 12mph and the stream is 3 mph

6 0

3 years ago

Someone please help out

exis [7]

Answer:

$39+0.15m \leqslant 50$

Step-by-step explanation:

From the question, Diana wants her total bill to be less than $50.

Diana pays a fixed monthly bill of

$39 for her mobile phone and an additional

$0.15 per minute for phone internet service.

The bill Diana pays for m minutes of using the internet is $0.15m in a month.

The total monthly bill becomes,

$39+0.15m$

The maximum bill she wants to pay is $50.

$\implies39+0.15m \leqslant 50$

This inequality can be solved to determine the number of available minutes.

4 0

3 years ago

How do you explain a diameter of 0.00085 inches using scientific notation

dezoksy [38]

Answer:

8.5 $E^{-4}$ inches

Step-by-step explanation:

Scientific scientific notation is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.

Hope this helps, have a nice day! :D

8 0

2 years ago

The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

6 0

3 years ago