(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT

Answer:

look at the picture i have sent

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

f(x) = x² + 7x + 10

The  quadratic equation is x² + 7x + 10.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the zeroes of Quadratic Equation as -2 and -5.

So, the factors of the equation is (x +2 ) and (x + 5).

Then, the Quadratic equation is

= (x+5)(x+2)

= x² + 5x +2x + 10

= x² + 7x + 10

Thus, the quadratic equation is x² + 7x + 10.

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Answer:

Nice

Step-by-step explanation:

18 ( 1 + X )

sorry if my answer wrong

Answer:

Step-by-step explanation:

Point slope form: y - y1 = m(x -x1)

[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]

Answer:

[tex]y= -\frac12 x +\frac{29}2[/tex]

Step-by-step explanation:

Let's start with the point- slope form:

[tex]y-y_0=m(x-x_0)[/tex]

and replace the values we have

[tex]y-(-16) = -\frac12 (x-(-3))[/tex]

We're almost there, we just need to write it in a better looking form.

[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]

Answer:

35, 43

Step-by-step explanation:

The pattern is that to obtain a term in the sequence , add 8 to the previous term, then

27 + 8 = 35

35 + 8 = 43

35 and 43 are the next 2 terms in the sequence

Answer:

35,43

Step-by-step explanation:

add 8 k so ya but ya and so on

Answer:

x ≤ 15

Step-by-step explanation:

the first step is to add 3 to each side to get:

x/5 ≤ 3

last step is to multiply each side by 5 to get:

x ≤ 15

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

Answer:

Step-by-step explanation:

Given:

Amount after 8 years:

Rate of interest=r=0.05

So

Amount

She can tell by looking at all the possible solutions. Due to the fact that she can solve this equation multiple ways, Elana knows that there are many solutions to this problem.

I hope this helps! :)

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

Answer:

The next mark should be at (3,-3)

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

Answer:

  C.  19.50 lbs

Step-by-step explanation:

3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.

It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.

__

We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...

  w/39 = 24/48 . . . . . weight in pounds/length in inches

  w = 39(24/48) = 39/2 = 19.5

The weight of the shorter bar is 19.5 pounds.

Answer:

how many kids are in each class though

Answer: 2

Step-by-step explanation: i dont even need to explain

Answer:

2

Step-by-step explanation:

one apple plus one apple gives you two apples :)

Answer:

X = b(r - a)

Step-by-step explanation:

b/x = r - a

X = b( r - a)

Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2  for every point on this line and that is the equation of the line.

Step-by-step  explanation i Hope this helps

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

your ans. in above pic

Answer:

What would best describe the universal set U?

positive integers less than 10

What would best describe set A?

prime numbers in U

What would best describe A ∪ B?

numbers in U that are prime or even

What would best describe A ⋂ B?

even prime numbers in U

Hope it helps!

The universal set is the set of all natural numbers less than or equal to 9

The sets are given as:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

Number 1 and 9 are outside the circles.

The universal set is the collection of all elements in the set.

i.e.

U = {1,2,3,4......9}

Hence, the universal set is the set of all natural numbers less than or equal to 9

We have:

A = {2, 3, 7, 5}

The elements of set A are prime numbers between 2 and 7 (inclusive)

Hence, the set A is the set of all prime numbers from 2 to 7

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A u B is all elements in both sets.

So, we have:

A u B = {2,3,4,5,6,7,8}

Hence, the set A u B is the set of all natural numbers from 2 to 8

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A n B is the common elements in both sets.

So, we have:

A n B = {2}

Hence, the set A n B is 2

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Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

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Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! ♧

Answer: 8

Step-by-step explanation:

Answer:

x=62, y=62

Step-by-step explanation:

the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72

by alternate interior angles, y=angle 2 and angle2=x so x=72

3h/7-11=2×23/28

h=25/2

Answer:

360

Step-by-step explanation:

Because an exterior angle equal to 1 the total number of sides is equal to 360°.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain of f(x) ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range of f(x) ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain of f(x): -6 ≤ x ≤ -1

Range of f(x): -5 ≤ x ≤ -3