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3 years ago

15

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

2 answers:

olganol [36]3 years ago

5 0

That "|x + 2|" indicates that the vertex of the most basic absolute value function, y=|x|, has been shifted 2 units to the left. That "+4" indicates that the vertex has been shifted 4 units up. Thus, the vertex of f(x)=|x+2|+4 is (-2,4).

Debora [2.8K]3 years ago

4 0

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Answer:

(-2,4).

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Need help please and Thank you

Novosadov [1.4K]

Top left:
7x-44 = 4x+4
7x-4x = 4+44
3x = 48
x = 16
8y-43 = 39+(7(16)-44)
8y = 39+68+43
8y = 150
y = 18.75

7 0

3 years ago

Write the following fractions in word. 3/4, 1/5, 3/4, 1 3/5.. please help me

Alik [6]

Answer:

"In word" as in word form?

3/4 = three fourths

1/5 = one fifth

3/4 = three fourths (again?)

1 3/5 = one and three fifths

4 0

2 years ago

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3><u>Given </u><u>:</u><u>-</u></h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>distance </u><u>between </u><u>the </u><u>golf </u><u>ball </u><u>and </u><u>the </u><u>center </u><u>of </u><u>the </u><u>green </u><u>.</u>

<h3><u>Let's </u><u> </u><u>Begin </u><u>:</u><u>-</u></h3>

Let assume that the distance between the golf ball and central of green is x

<u>Here</u><u>, </u>

Distance between marker and centre of green is 150 yards
<u>That </u><u>is</u><u>, </u>Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
<u>That </u><u>is</u><u>, </u>Angle = 100°
The golfer peces off 30 yards to his ball
<u>That </u><u>is</u><u>, </u>Base = 30 yards

<u>According </u><u>to </u><u>the </u><u>law </u><u>of </u><u>cosine </u><u>:</u><u>-</u>

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

<u>So</u><u>, </u><u> </u><u>For </u><u>Hypotenuse </u><u>law </u><u>of </u><u>cosine </u><u>will </u><u>be </u><u>:</u><u>-</u>

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0

2 years ago

Write a verbal description of the expression below<br><br> 7(b+5)

lord [1]

The answer is 7b+35 because the seven multiplies by the b and the 5 meaning that you multiple the number that’s on the outside with what’s on the inside and be b is a variable it cannot be multiplied so you combine 7 and b which gives you 7b and then you multiply 7 and 5 which gives you 35

7 0

3 years ago

Solve 3 ^ x + 6 = 3 ^ 4

aleksklad [387]

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x = 3 ^ 4 - 6, or

3^x = 81 - 6 = 75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:

x = (ln 75) / (ln 3) = 3.93 (approx.)

8 0

3 years ago