25 points:)

question 2-3

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:

[tex]2^2-4(4)(6)=4-96=-92[/tex]

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons

hope it helps..

Answer:

de correct one is

x 0

y 3

hope u got it

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

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Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent

Answer:

3x

Step-by-step explanation:

because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x

Answer:

alternate exterior angles

Step-by-step explanation:

The two horizontal lines are simply two lines.

The other line is a transversal since it intersect the two lines at two different points.

Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:

alternate exterior angles

Answer:

[tex]270 \:m^2[/tex]

Step-by-step explanation:

The area of the triangle.

[tex]bh\frac{1}{2}[/tex]

[tex]b \times h \times \frac{1}{2}[/tex]

[tex]20 \times 27 \times \frac{1}{2}[/tex]

[tex]540 \times 1/2[/tex]

[tex]=270[/tex]

The area of triangle would be;

⇒ Area of triangle = 270 m²

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Here, Given that;

Base of triangle = 20 m

Height of triangle = 27 m

Now, We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values, we get;

⇒ Area of triangle = 1/2 × Base × Height

⇒ Area of triangle = 1/2 × 20 × 27

⇒ Area of triangle = 270 m²

Thus, The area of triangle would be;

⇒ Area of triangle = 270 m²

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Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Answer:

I believe that the answer is

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes

Step-by-step explanation:

I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.

For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.

I hope this helps. :)

The answer is correct that

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes by 1/2

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.

So, [tex]2^{10}[/tex] = 1024

In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.

Let us take a case,

If we have flipped a coin 5 times and there are only two possibilities.

The answer will be=  [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.

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Answer:

D

Step-by-step explanation:

I got it on the test

The measure of ∠ABC in the triangle below is 60°

Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.

∠ACB + 135 = 180° (Sum of angles in a straight line)

∠ACB = 45°

In triangle ABC:

∠ABC + ∠ACB + ∠CAB  = 180° (Sum of angle in a triangle)

∠ABC + 75 + 45 = 180

∠ABC = 60°

The measure of ∠ABC in the triangle below is 60°

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Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

Answer:

y = 5(2)ˣ

Step-by-step explanation:

numbers are doubled for y as x is changing by 1

it indicates exponential growth with y intercept 5 and rate 2:  y = 5(2)ˣ

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

Answer: 1/7

Step-by-step explanation:

23x = -12x + 5

23x + 12x = 5

35x = 5

x = 1/7

Answer:

The answer is -135

Step-by-step explanation:

We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).

Then, we do 480 minus 354 which is -135.

Answer:

£2,750

Step-by-step explanation:

Tax rule:  25% tax on any income above £24,000 per year

It means that upto  £24,000 there is no tax and the amount above  £24,000

is taxable.

Annual payment of Dana =  £36,000

Hence, she will be taxed only on amount above  £24,000 out of £36,000.

Lets find amount above  £24,000 =  £36,000- £24,000 =  £12,000

Tax on  £12,000 = 25% of  £12,000 = 25/100 *  £12,000 =  £3,000

Thus,  £3,000 will be deducted as tax annually out of total earning of  £36,000.

Amount paid to Dana after deduction of tax annually =  £36,000 -  £3,000

Amount paid to Dana after deduction of tax annually is £33,000

As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000

the amount of money she receives after tax in 12 month =  £33,000

Dividing LHS and RHS by 12

The amount of money she receives after tax in 12/12 month =  £33,000/12

The amount of money she receives after tax in 1 month =  £2,750

The amount of money Dana receives after tax each month is £2,750.

Answer:

The inverse of a function may not always be a function!

The original function must be a one-to-one function to guarantee that its inverse will also be a function.

Quick answer 3/24 or 1/8

Answer:

west

Step-by-step explanation:

Answer:

West

Step-by-step explanation:

90 deg left of north is west.

Answer:

2(L+W)H

Step-by-step explanation:

Surface area= 2(L+W)H

Answer:

2(L+W)H

Step-by-step explanation:

The lateral surface area is the total of the area of all the faces of the prism.

Hope this helps!

Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Given that

The admission fee is = $7.50

Each round costs = $6.25

Total money Clara paid = $26.25

The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-

we assume the number of rounds = x

Here, We can denote this equation in the following form

[tex]6.25x+7.50=26.25[/tex]

Therefore with the help of above equation we can now find out the x value

[tex]6.25x=26.25-7.50[/tex]

[tex]=> 6.25x=18.75[/tex]

[tex]=> x = 3[/tex]

So, Clara played 3 rounds of golf.

Answer:

Step-by-step explanation:

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000