What is the solution to the inequality x2 < 16 – 6x?
Question 7 options:

A)

x < –8 or x > 2

B)

x < –8 and x > 2

C)

–8 ≤ x ≤ 2

D)

–8 < x < 2

Answer:

x²+x+1

Step-by-step explanation:

1st one,

x³-1

= (x-1)(x²+x+1)

2nd one,

x⁴+x²+1

= x⁴+x³-x³+x²+x²-x²+1+x-x

= x⁴+x³+x²-x³-x²-x+x+x²+1

= x²(x²+x+1)-x(x²+x+1)+(x²+x+1)

= (x²+x+1)(x²-x+1)

3rd one,

x³+1+2x²+2x

= x³+x²+x²+x+x+1

= x³+x²+x+x²+x+1

= x(x²+x+1)+(x²+x+1)

= (x²+x+1)(x+1)

So, here the common part among these three is,

x²+x+1, so it's the H.C.F.

Answer: P (girl) = 14 / 25

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Number of boys = 11

Number of girls = 14

Total number of people = 11 + 14 = 25

P (girl) = Favorable / Total (refer to the attachment)

P (girl) = 14 / 25

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The option which represents the inequality is option D ; stated as x ≥ 0

Step-by-step explanation:

The marked or dotted position is 0 ; which represents the position of x, when graphing inequality statements, if the point IS SHADED, then it means GREATER THAN EQUAL TO.

Option A is incorrect, the inequality sign is not the same as the direction of the arrow.

Option B, says LESS THAN EQUAL TO, instead of GREATER THAN EQUAL TO

Option C SAYS GREATER THAN instead of GREATER THAN EQUAL TO.

Therefore, Option D is the correct expression which means x is GREATER THAN EQUAL TO.

Learn more : https://brainly.com/question/24065770

Answer:

If you multiply the numbers you will get

0.030634

Answer:

Not a function

Step-by-step explanation:

we see on this graph,

(1,2) and (1,7)

we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.

which always means it's not a function.

Answer:

There are sixteen lines.

Answer:

2x-24

I think that you changes the problem...

you went from a derivative to an inverse ???

y = 1/2x + 14

x = 1/2 y + 14

2x = y + 24

y = 2x-24

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex] (x) = 2x - 28

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 14 ( multiply through by 2 to clear the fraction )

2y = x + 28 ( subtract 28 from both sides )

2y - 28 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = 2x - 28

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]

Then in our case, the solutions will be:

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

Answer:

3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Step-by-step explanation:

Multiply every term of the first binomial by every term of the second binomial.

(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Answer:

see below

Step-by-step explanation:

y = x^2 +2x - 8

Factor

y = ( x+4)(x-2)

The zeros are

x+4 = 0  x-2 = 0    

x= -4    x= 2

(-4,0)  (2,0)

The axis of symmetry is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

x = -1

The x coordinate of the vertex is at the axis of symmetry

The y value is found by substituting x=-1

y = (-1+4) (-1-2)= 3*-3 = -9

Vertex ( -1,-9)

The domain is all real numbers

The range is from -9 up

y≥ -9  since it opens upward

Answer:

-7t

Step-by-step explanation:

you are correct

Answer:

42

Step-by-step explanation:

prime factorisation of 1764 = 2^2 × 3^2 × 7^2

hence,

√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42

Answer:

42

Step-by-step explanation:

1764 = 2 * 882

        = 2 * 2 * 441

        = 2 * 2 *  3 * 147

        = 2 * 2 * 3 * 3 * 49

        = 2 * 2 * 3 * 3 * 7 * 7

[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]

Answer:

2

Step-by-step explanation:

(1 + 1/2) ÷ (3/4)

= 3/2 ÷ 3/4

= 3/2 × 4/3

= 12/6

= 2

(0.75 × 2 = 1.5)

Answer:

2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Lie should factor out 3 from the expression

Answer:

g=2

Step-by-step explanation:

2 − (7g − 3) = -9

Subtract 2 from each side

2 − (7g − 3)-2 = -9-2

− (7g − 3) = -11

Multiply by -1

− (7g − 3)*-1 = -11*-1

7g − 3 = 11

Add 3 to each side

7g-3+3 = 11+3

7g = 14

Divide by 7

7g/7 = 14/7

g=2

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

1600-1472=128

128/1600×100

Answer:

the angle GHJ would be 76 because the central angle is always double the measurement of the inscribed angle

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

Answer:

hope it's helpful

Step-by-step explanation:

glad to help

Answer:

[tex]h = \frac{2A}{b + c}[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}(b + c)h[/tex]

Required

Solve for h

We have:

[tex]A = \frac{1}{2}(b + c)h[/tex]

Multiply sides by 2

[tex]2A = (b + c)h[/tex]

Make h the subject

[tex]h = \frac{2A}{b + c}[/tex]

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer:

it's off topic but which grade are you in

Answer:

hjk

Step-by-step explanation:

Answer:

Red line: y=-1/2x+1  Blue line: y=-1/3x-2  Green line: y=x

Step-by-step explanation:

f(x) red line m=-1/2 b=1

g(x) blue line m=-1/3 b=-2

h(x) green line m=1 b=0

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

Answer:

Irrational

Step-by-step explanation:

The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.

Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

Answer:

5.3 cents

Step-by-step explanation:

85/16

because all 16 ounces cost 85 cents

Answer:

5.3 cents.

Step-by-step explanation:

Answer:

y=4x+7

Step-by-step explanation:

use the slope intercept formula to find the equation.

y =4

passess through (-1,3)