question is in the photo thank you so much!​

[tex]q(x) = {x}^{2} + 3x + 4 [/tex]

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Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

[tex]q(a) = {a}^{2} + 3a + 4 [/tex]

Multiply sides by -2 :

[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]

[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]

_________________________________

Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]

[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]

[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]

_________________________________

Step (3)

[tex]q(a + 1) - 2q(a) = [/tex]

[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]

[tex] - {a}^{2} - a = - a(a + 1)[/tex]

And we're done.

Thanks for watching buddy good luck.

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The expression for q(a+1) - 2q(a) is -a² - a

Given the expression q(x) = x²+3x+4​

First, we need to get the function q(a+1)

q(a+1) =  (a+1)²+3(a+1)+4​

Expand

q(a+1) = a² + 2a + 1 + 3a + 3 + 4

q(a+1) = a² + 5a + 8

For the function q(a)

q(a) = a²+3a+4​

2q(a) = 2(a²+3a+4​)

2q(a)= 2a² + 6a + 8

Taking the difference:

q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)

q(a+1) - 2q(a)  = a² + 5a + 8 -  2a² - 6a - 8

q(a+1) - 2q(a)  = -a² - a

Hence the expression for q(a+1) - 2q(a) is -a² - a

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Answer:

.79x(.06x20)=.948

round up to .95

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. The price of the loaf of bread after 20 years will be 2.53.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. And this continues for t period of time.

It is given by the formula,

A = P(1+r)ⁿ

where A is the value after n period of time, P is the initial amount, and,

r is the rate of increment or decrement.

Given that a loaf of bread costs Rs.0.79 today, and its price increases by 6% per year. Therefore, the price of bread will increase every year by 6% of the previous year's cost. Thus, it can be concluded that the price increases compounding.

Therefore, the equivalent loaf cost in 20 years will be,

Cost of the loaf after 20 years = 0.79(1+0.06)²⁰

                                                   = 0.79(3.2071)

                                                   = 2.53

Hence, the price of the loaf of bread after 20 years will be 2.53.

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Answer:

The answer would be that there are more bananas than pears

Step-by-step explanation:

Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500

And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.

Answer:

3

Step-by-step explanation:

Let the number of people be n.

39.75n + 5.75 ≤ 140

39.75n ≤ 134.25

n ≤ 3.37

The greatest integer less than or equal to 3.37 is 3.

Answer: 3

The maximum number of people who can go to the amusement park will be 3.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the group has $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

Suppose the number of people will be n.

39.75n + 5.75 ≤ 140

39.75n ≤ 134.25

n ≤ 3.37

The greatest integer value should be less than or equal to 3.37 is 3.

Thus, the maximum number of people who can go to the amusement park will be 3.

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The difference that exist between the experimental and theoretical probability that the fair coin will lands on heads is A. 20%.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

It should be noted that theoretical probability describes how likely an event will occur. In this case, the probability of getting a head is 50%.Now, let's assume that the experimental probability that given is 70%.

In they case, the difference between the experimental and the theoretical probability that the fair coin lands on heads will be:

= 70% - 50%

= 20%

In conclusion, the correct option is 20%.

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Answer:

Step-by-step explanation:

it’s 20% because yo have to add the device

Answer:

The 3 positive integers of which the sum is equal to their product are, 1 , 2 and 3

1 + 2 + 3 = 6

So, when we add 1, 2 , and 3, we get six, now let's see on multiplying them,

1 * 2 * 3 = 6

Hence, the positive integers that have the same sum as their product are,

1 , 2 , and 3

Thanks!!

w ≥ 652.5

On 652.5, plot a closed point to the right.

Answer:

w ≥ 652.5- (B, the second choice)

Step-by-step explanation:

To graph, you would put a closed dot on 652.5

:) Hope this helped

Have a wonderful day

I know math isn't always easy, but you will get through this!

Answer:

A = 9 sq inches

Step-by-step explanation:

Area of a square:

A = l × w OR s^2

A = 3 × 3 = 3^2

A = 9 sq inches

Answer: 0

Step-by-step explanation:

Answer:

4 yd

Step-by-step explanation:

The missing length is the question mark on the top side.

Look at the bottom side. Its length is 10 yd.

Now look at the next horizontal side up from the bottom. Its length is 6 yd.

The missing length is the difference between 10 yd and 6 yd.

10 yd - 6 yd = 4 yd

Use this formula: Speed = Distance/Time

Given in the question:

Distance - 20 miles

Time - 50 minutes

Calculations

Speed = Distance/Time

Speed = 20/50

Speed = 0.4 miles/min

Therefore, the ship travels 0.4 miles per minute.

Answer:

168 minutes

Step-by-step explanation:

50% is equal to .5 which is half. So if 84 minutes is half her weekly limit then she double that number to find her weekly limit, which is 168 minutes.

Answer:

b

Step-by-step explanation:

brianlesyt

Answer:

x = 17

Step-by-step explanation:

The dash on each side means that all side lengths are equal in length.

Therefore, the shape shown is a regular polygon (hexagon).

Exterior angle of a regular polygon = 360 ÷ number of sides

⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°

Therefore,

4x - 8 = 60

Add 8 to both sides:

⇒ 4x = 68

Divide both sides by 4:

⇒ x = 17

Answer:

30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.

Step-by-step explanation:

mark me brainliest!!

Answer: A

Step-by-step explanation:

Let the length side of the TV = a

The width of the TV = b

The diagonal of a TV = c

In a 30-60-90 right triangle,

We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]

Given that c = 28 inches:

sin(30°) = [tex]\frac{b}{c}[/tex]

[tex]\frac{1}{2} = \frac{b}{c}[/tex]

[tex]b = \frac{1}{2} \times 28 = 14[/tex]

That is, the width of the TV = 14 inches

cos(30°) = [tex]\frac{a}{c}[/tex]

[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]

[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]

That is, the length of the TV = 14√3 inches

So the exact width and length of the TV are 14 inches and 14√3 inches.

Therefore, option A is the correct answer

Answer:

Step-by-step explanation:

Answer:

2hrs 30 mins

Step-by-step explanation:

if the buoy Is 12 up and 16 right than you can use Pythagorean theorem

a²+b²=c²

144+256=c²

400=c²

√400=√c²

20=c

20/8=2.5

2 hrs 30 mins

Answer:

$269.49

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 349.99 × 23/100

Discount = 349.99 x 0.23

You save = $80.50

Final Price = Original Price - Discount

Final Price = 349.99 - 80.4977

Final Price = $269.49

Following our assumption, the number of cups that will be remained in the bag after the baker is finished is 4 cups.

Word Problems in mathematics are those methods involving the use of algebra, fractions, ratios, and other basic mathematical concepts to solve problems in real-life cases.

From the given information:

Then, the number of cups to make 4 loaves of bread is:

= (4 × 4) cups

= 16 cups to make 4 loaves of bread.

The number of cups of flour remaining will be:

= 20 - 16 cups of flour

= 4 cups of flour remaining

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Answer : Marla Will Be Done School At 12:48 Pm.

Explanation : 8:48 Am. + 4 Hours = 12:48 Pm.

Answer:

[(15)(15) + 3] = 225

Step-by-step explanation:

Hello.

-8.46 is less than 5.31, because it is negative.

Answer:

-8.46 is less than 5.31

Step-by-step explanation:

-8.46 is a negative number, which is smaller than the positive number 5.31

Positive numbers are always greater than negative numbers.

Answer:

4/11

Step-by-step explanation:

The word "MISSISSIPPI" has 11 letters in it and has 4 "S". So, the probability of you picking a S out of a paper bag would be 4/11.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

50

Step-by-step explanation:

Step-by-step explanation:

2 weeks = 14 days.

on 11 days of these 14 he had fever.

that means on 14-11 = 3 days he did not have a fever.

on 9 of these 11 fever days he had the fever in the evening.

and we know, when he had fever in the evening, he had no fever in the morning.

so, the number of days without fever in the morning is :

9 + 3 = 12

as he had no fever in the morning when he had a fever in the evening, AND when he did not have any fever at all ...

Answer:

(B) 3

Step-by-step explanation:

Qualitative answer. As x grows larger and larger, the contribute of lower degree terms (and constants) becomes irrelevant, and you rewrite everything picking the highest term for both numerator and denominator

[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4}}{x^2} $\lim\limits_{x \to \infty} \frac{3x^2}{x^2}=3[/tex]

Analitically.

Collect [tex]9x^4[/tex] in the numerator under the square root, [tex]x^2[/tex] in the denominator.

[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4(1+\frac{1}{9x^4})}}{x^2(1-\frac{3}{x}+\frac{5}{x^2})} = \lim\limits_{x \to \infty}\frac{3x^2\sqrt{(1+\frac{1}{9x^4})}}{{x^2(1-\frac{3}{x}+\frac{5}{x^2})}} = 3[/tex]

At this point the way you deal with it is the usual. Anything inside the bracket goes to 0 besides the lead coefficients (1 in both cases) and you're left with 3.

The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches.

The surface area of the rectangular prism ([tex]A_{s}[/tex]) is equal to the product of two lengths of triangle. The area formula for the base is:

[tex]A = x\cdot (3\cdot x)[/tex]

[tex]A = 3\cdot x^{2}[/tex]

If we know that [tex]A = 174[/tex], then the least length of the base of the rectangle is:

[tex]x = \sqrt{\frac{A}{3} }[/tex]

[tex]x \approx 7.616\,in[/tex]

The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches. [tex]\blacksquare[/tex]

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Answer:

3 inches and 9 inches

Step-by-step explanation:

See pic :)

Answer:

Its d!

Step-by-step explanation:The answer is D:)

The total of people at the football game by considering the information provided would be 3500

This can be calculated by using the information provided about the number of people that supports the home team, as well as the percentage represented by them. To do this, use the rule of three.

You can test it by finding out the 94% and the 6% of the total number:

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