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3 years ago

Solve. You must factor first. 5x^2+ 17x+ 14=0 Please show work

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer:

the answer is X=-3

1) 5x^2+17x+14=0

2)5x^2+17x=-14+0

3)25x+17x=-14

4)42x=-14

5)42x/-14

6)x=-3

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Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.

ioda

Answer:

A, C

Step-by-step explanation:

Maybe A and C because its reflecting in the opposite direction which is 180

4 0

3 years ago

Solve 2x^2+3x=20. Please help

dangina [55]

Answer:

Exact form: x=5/2,-4

Decimal form: x=2.5, -4

Mixed number form: x=2 1/2, -4

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

4 1/6 divided by 1 1/3

Zolol [24]

Answer:

$\frac{25}{8}$

Step-by-step explanation:

A fraction is a part of a whole .

A proper fraction is a fraction whose numerator is less than denominator .

For example $\frac{2}{3}\,,\,\frac{3}{4}$

An improper fraction is a fraction whose numerator is greater than denominator .

For example $\frac{5}{4}\,,\,\frac{8}{7}$

A mixed fraction is made up of whole number and a proper fraction .

Given : $4\frac{1}{6}\,,1\frac{1}{3}$

Solution :

$4\frac{1}{6}=\frac{4\times 6+1}{6}=\frac{25}{6}\\1\frac{1}{3}=\frac{3\times 1+1}{3}=\frac{4}{3}$

We need to divide $4\frac{1}{6}$ by $1\frac{1}{3}$ .

$4\frac{1}{6}\div 1\frac{1}{3}=\frac{25}{6}\div\frac{4}{3} \\\Rightarrow 4\frac{1}{6}\div 1\frac{1}{3}= \frac{25}{6}\times \frac{3}{4}=\frac{25}{8}$

3 0

3 years ago

28/29 and 30 plz short explanation thanks

zzz [600]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:

28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:

a.b.c = -3

The possible values of the factors are:

Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3

29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:

-9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2

Another example:

1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.

30. The sign of the product of two integers with the same sign is positive, that is:

(+)(+) = (+) and

(-)(-) = (+)

So, the sign of the product of three integers with the same sign are two options:

Option 1. The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive

Option 2. The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.

This option two gives us that result because:

(-)(-) = (+) and (+)(-) = (-)

5 0

3 years ago

A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place

Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = $\frac{AB}{BC} = \frac{h}{x}$

Taking inverse trigonometric function, α = tan⁻¹ ( $\frac{h}{x}$ ) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

$\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}$

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and $\frac{dh}{dt}$ = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

$\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512$

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0

3 years ago