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3 years ago

6. If g(x) = -4r" - 3x + 2, determine g(-2).

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

g(-2)=-4r+8

Step-by-step explanation:

g(-2)=-4r-3(-2)+2

g(-2)=-4r+6+2

g(-2)=-4r+8

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a right triangle has a leg length of 14 yards and a hypotenuse of length 43 yards. Find the length of the other leg. Provide an

Makovka662 [10]

By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.

If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

A = 14 yd

H = 43 yd

And we want to find the other leg, then we can replace that in the equation to get:

(14yd)^2 + B^2 = (43yd)^2

B = √( (43yd)^2 - (14yd)^2) = 40.7 yd

So the other leg length is 40.7 yards.

If you want to learn more about right triangles, you can read:

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3 years ago

Some number plus – 49 is equal to the number divided by 4.

Komok [63]

Answer:

X+(-49)=X/4

Step-by-step explanation:

A number represented by X

plus negative forty-nine

is equal to the number (X) divided by 4

3 0

2 years ago

Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)

Ulleksa [173]

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

<h3>What do a polynomial's leading term and leading coefficient mean?</h3>

The term with the highest power of x is the leading term in a polynomial.
As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

Learn more about polynomial here:

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#SPJ13

3 0

1 year ago

If the roots of x²-7x+k=0 are m and m-1, find the value of the constant k

creativ13 [48]

Answer: k=12

Step-by-step explanation:

x2 - 7x + k = 0

using quadratic formula method,

x = [-b ± √(b2 - 4ac)]/2a

a = 1

b = -7

c = k

x = [-(-7) ± √((-7)2 - 4(1)(k))]/2(1)

x = [7 ± √(49 - 4k)]/2

x = [7 + √(49 - 4k)] / 2 and [7 - √(49 - 4k)] / 2

since the roots are m and m-1,

m = [7 + √(49 - 4k)] / 2 ------------ eqn(1), and

m - 1 = [7 - √(49 - 4k)] / 2 ----------- eqn(2)

add 1 to both sides of eqn(2)

m = [7 - √(49 - 4k)]/2 + 1 --------------- eqn(3)

eqn(1) = eqn(3)

[7 + √(49 - 4k)]/2 = [7 - √(49 - 4k)]/2 + 1

7/2 + (√(49 - 4k))/2 = 7/2 - (√(49 - 4k))/2 + 1

collect like terms,

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 7/2 - 7/2 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 0 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 1

multiply through by 2

√(49 - 4k) + √(49 - 4k) = 2

2√(49 - 4k) = 2

divide both side by 2

√(49 - 4k) = 1

square both sides

49 - 4k = 1

collect like terms,

4k = 49 - 1

4k = 48

divide both sides by 4

k = 48/4

k = 12

6 0

3 years ago

Coach Perez has 32 basketballs and 16 footballs. which ratio accurately compares the number of basketballs to the number of foot

Iteru [2.4K]

The ratio is 2:1 you are very welcome

3 0

3 years ago

Read 2 more answers