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Viefleur [7K]
2 years ago
13

Factor the expression x^{2} +4x-21

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer:

This factors out to: (x + 7)(x - 3)

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Using the expansion for the binomial: ( x^3 − y^4 )^9 :The coefficient for the 6th term is
Lelechka [254]

Answer:

-126

Step-by-step explanation:

For the binomial expression  (a-b)^{n} the coefficient of (r+1)^{th} term is given by {n \choose r} \times -1^{(r)}.

We have to find the coefficient of 6th term in the binomial expansion of

(x^{3}-y^{4})^{9}.

Hence n=9 and r=5

The coefficient of 6th term = {9 \choose 5} \times (-1)^{5}

                                             = -{9 \choose 5}

                                             = -126

8 0
2 years ago
Can someone help me with this it’s urgent what’s the answer or property of this problem C?
ELEN [110]

Answer:

yes they both equal 2 1/2

4 0
3 years ago
What’s the cosine of
Vsevolod [243]

Answer:

√23/√45 or √23/3√5

Step-by-step explanation:

Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.

4 0
3 years ago
Identify the terms, like terms, coefficients, and constants in each expression.
steposvetlana [31]
Simplifying
8 + 6t = 3t + t

Combine like terms: 3t + t = 4t
8 + 6t = 4t

Solving
8 + 6t = 4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t

Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t

Combine like terms: 4t + -4t = 0
8 + 2t = 0

Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8

Combine like terms: 0 + -8 = -8
2t = -8

Divide each side by '2'.
t = -4

Simplifying
t = -4
8 0
2 years ago
This parabola has<br> x-intercepts
slega [8]

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

y=-16x^{2} +32x-10

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

-16x^{2} +32x-10=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16x^{2} +32x-10=0        

so

a=-16\\b=32\\c=-10

substitute in the formula

x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}

x=\frac{-32(+/-)\sqrt{384}} {-32}

x=\frac{-32(+/-)8\sqrt{6}}{-32}

x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec

x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

8 0
2 years ago
Read 2 more answers
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