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2 years ago

The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=f(x)+k what is the value of k

Mathematics

1 answer:

djyliett [7]2 years ago

6 0

Answer:

k = -9

Step-by-step explanation:

You can determine the value of k in g(x)=h(x)+k by comparing the functions h and g.

Since h(x)=x^2+3 and g(x)=x^2-6 then the difference is between 3 and -6. What number when added to 3 will give -6? 3 - 9 = -6. This means k = -9.

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EASY MATH THAT I DON,T GET PLZ HELP QUICKLY

jolli1 [7]

Answer:

Terms: 4

Degree: 3

Leading coeff: 7

Step-by-step explanation:

a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by division. 7x³+5x²-3x+1 would have 4 terms: 7x³, 5x², -3x, and 1

You already have the degree which is the highest power in a polynomial

The leading coefficent is the coefficient in the term with the highest power, in this case being 7.

hope this helps!

6 0

3 years ago

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat

Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0

2 years ago

Which is the correct classification of Sqrt of 18 ?

LenKa [72]

The square root of 18 is 4.24

8 0

3 years ago

How do you figure up volume in cubic inches

Anna11 [10]

Measure the length, width, and depth of an object in inches. ...

Write the length of your object. ...

Multiply the length by the width of your object. ...

Multiply your answer by the depth of your object. ...

Label your answer in cubic inches.

3 0

3 years ago

Right triangle ABC has three sides with lengths AB= 119, BC = 169, CA= 120. Find the value of cos C. hint: draw and label the tr

GenaCL600 [577]

Answer:

$\cos(C)=\frac{120}{169}$

Step-by-step explanation:

The triangle is shown in the attachment.

Recall that;

$\cos(C)=\frac{Adjacent}{Hypotenuse}$

This implies that;

$\cos(C)=\frac{|AC|}{|BC|}$

We substitute the values into the ratio to obtain

$\cos(C)=\frac{120}{169}$

8 0

3 years ago