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GuDViN [60]
3 years ago
12

PLEASE HELP ME!!! I need help solving these 3 problem, I’ll give you brainliest. Thank you(:

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
1. x > 3
_

2. x < -8/3
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Please help me I am very confused. ​
garri49 [273]
1/2
When you put a square root into exponential form, the square root turns into an exponential fraction. Since the square root is 2, our fraction would be 1/2

If our root was a cube root, our exponent would be 1/3, etc.
7 0
3 years ago
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Andrew has one book that is two and 378 inches thick and a second book that is 3.56 inches thick if he stacks the books about ho
Georgia [21]
2.378 + 3.56 = 5.938

two and 378 inches =  2.378 
8 0
3 years ago
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sin
abruzzese [7]
Triangle ABC and triangle DCE are congruent, so line DE = line AB

Use the cosine rule to find angle ACB
52.2^{2}= 50^{2}+  70^{2}-(2*50*70*cos(ACB))
2724.84=7400-(7000cos(ACB))
2724.84-7400=-7000cos(ACB)
-4675.16=-7000cos(ACB)
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Angle ACB= cos^{-1} ( \frac{4675.16}{7000})
Angle ACB = 48.1°

5 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
Plzzzzzz help!! I will give brainliest to whoever answers
jarptica [38.1K]

Answer:

4 and -3 i think

Step-by-step explanation:

the dot is on 4 and -3

5 0
3 years ago
Read 2 more answers
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