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3 years ago

Compare the functions shown below:

Mathematics

2 answers:

Stolb23 [73]3 years ago

7 0

The <em>correct answer</em> is:

h(x)

Explanation:

Graphing f(x) and tracing the function, we find the smallest y-value to be -4.

We can use the form of the equation for g(x). It is in vertex form, which is

g(x) = a(x-h)²+k, where (h, k) is the vertex.

In our function, g(x) = (x-3)²-1, we have a vertex of (3, -1). The vertex of a quadratic function is either the maximum or minimum. Since the value of a would be 1, the graph would open upward; thus the vertex would be a minimum, and -1 would be the minimum y-value.

We can see from the table that the smallest y-value in h(x) is -6. This is smaller than the other two, so this is the smallest.

meriva3 years ago

4 0

F(x) = 2 sin (3x + pi) - 2 has the minimum y-value of -4

g(x) = (x - 3)^2 - 1 has a minimum y-value of -1

h(x) has the minimum y-value of -6

Therefore, h(x) has the smallest minimum y-value.

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I really need help!

iVinArrow [24]

Answer:

c. m∠P'Q'R' = m∠PQR

Step-by-step explanation:

Rotation is a rigid transformation. It does not change lengths or angles.

8 0

3 years ago

Read 2 more answers

The sphere at the right fits snugly inside a cube with 8-in. edges. What is the approximate volume of the space between the sph

boyakko [2]

Answer:the answer is

Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

5 0

4 years ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T

Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180 ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

$60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}$

$105^{\circ}+ m\angle B=180^{\circ}$

Simplify:

$m\angle B=75^{\circ}$

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.

$\frac{\sin A}{BC} = \frac{\sin C}{AB}$

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

$\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}$

then,

$BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}$

$BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798$ unit

Similarly for AC:

$\frac{\sin B}{AC} = \frac{\sin C}{AB}$

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

$\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}$

then,

$AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}$

$AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283$ unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

$A = \frac{1}{2} \times AB \times AC \times \sin A$

Substitute the values in above formula to get area;

$A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}$

$A = 4 \times 10.9283 \times 0.86602540378$

Simplify:

Area of triangle ABC = 37.856 (approx) square unit

4 0

3 years ago

In the diagram shown of circle A, segments UV and UT are congruent. If

grandymaker [24]

Answer:

35°

Step-by-step explanation:

We assume that points S, T, U, V all lie on the circle.

Inscribed angle TUV intercepts long arc VST and short arc VUT. The long arc has measure 220°, so the measure of the short arc is 360° -220° = 140°.

Since chords UV and UT are the same length, point U bisects arc VUT. That means the measure of arc VU is 140°/2 = 70°.

Inscribed angle VSU intercepts arc VU, so has half the measure of the arc:

∠VSU = 70°/2

∠VSU = 35°

Read more on Brainly.com - brainly.com/question/15559971#readmore

8 0

3 years ago

P = nc - e and p is 4520 and n is 3000 and e is 700 what is the value of c

adoni [48]

Answer:

c= 1.74

Step-by-step explanation:

4520 = 3000(c)-700

4520=3000c-700

+700 +700

5220=3000c

c=1.74

to check to see if this is right you would do this:

4520=3000(1.74)-700

4520=5220-700

4520=4520

3 0

3 years ago