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2 years ago

I need help on this question

Mathematics

1 answer:

Pie2 years ago

4 0

Answer:

(f-g)(4) = 10

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1

= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1

= 1/2 x^2 - 3/4 x + 5

(f-g)(4)

= 1/2 (4)^2 - 3/4 (4) + 5

= 1/2 * 16 - 3 + 5

= 8 - 3 + 5

= 5 + 5

= 10

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Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. Using Monet's measurement, calculate th

Anon25 [30]

Answer:

5.495 inches.

Step-by-step explanation:

We have been given that Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. We are asked to find the circumference of an Oreo.

We know that circumference of circle is equal to $2\pi r$ , where r represents radius of circle.

We also know that diameter is 2 times radius.

$D=2r$

Upon substituting $2r=\text{ 1.75 in}$ , we will get:

$\text{The circumference of an Oreo}=\text{ 1.75 in}\times \pi$

Using 3.14 as an estimation for π, we will get:

$\text{The circumference of an Oreo}=\text{ 1.75 in}\times 3.14$

$\text{The circumference of an Oreo}=5.495\text{ in}$

Therefore, the circumference of an Oreo would be 5.495 inches.

3 0

3 years ago

ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,

AfilCa [17]

Answer:

c. d = 5

Step-by-step explanation:

The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...

0.25(12, 16) = (3, 4)

The length of a line segment with those coordinate differences is ...

d = √(3² +4²) = √25 = 5 . . . . matches selection c.

3 0

3 years ago

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

monitta

Answer: The ratio that represents the cosine of ∠T is $\frac{56}{65}$

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

$\cos \theta=\frac{\text{base}}{\text{hypotenuse}}$

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

$\cos \theta=\frac{UV}{TU}=\frac{56}{65}$

Hence, the ratio that represents the cosine of ∠T is $\frac{56}{65}$

6 0

3 years ago

What are the 5 pieces of data needed to make a box plot?

Aleksandr [31]

Answer:

Min

Max

Median

8 0

3 years ago

A- p=5 B- p=6 C- p=7 D- p=8

Snowcat [4.5K]

Answer:

the answer should be D

Step-by-step explanation:

4 0

3 years ago