y=2x2+18 find coordinates of the vertex

Answer:

There are two real and different roots

Step-by-step explanation:

The discriminant is given by b²-4ac

(-12)²-4(70×1)

144-280

136

Now 136>0

Let D = discrimination

Rules:

If D > 0, there are 2 real number solutions.

If D = 0, there is only 1 real number solution.

If D < 0, there are 2 imaginary solution.

Given 70w2 - 12w + 1 = 0, b = -12, a = 70 and c = 1.

D = b^2 - 4ac

D = (-12)^2 - 4(70)(1)

D = 144 - 280

D = -136

Our D value is less than 0.

Our case is D < 0.

This means the given quadratic equation has 2 imaginary solutions.

Answer:

Step-by-step explanation:

Answer:

13yrs 4mths 26days

Step-by-step explanation:

13yrs 4mths 26days

Answer:

c he is your answer dear friend‍♀️‍♀️

Probability that the student drinks soda or coffee regularly is 60%

Option D is correct

Percentage of students that drink soda regularly, P(s) = 40%

Percentage of the students that drink coffee regularly, P(c) = 30%

Percentage of students that drink both coffee and soda regularly,

P(s and c) = 10%

Percentage of students that drink coffee or soda regularly is:

P(s or c) = P(s)  +  P(c) - P(s and c)

P(s or c) = 40  +  30 - 10

P(s or c) = 70 - 10

P(s or c) = 60

Probability that the student drinks soda or coffee regularly is 60%

Learn more here: https://brainly.com/question/20071155

If A and B are independent events, then P(A and B) = P(A)*P(B)

We multiply the probabilities of each separate event to find the probability of the compound event.

Answer: 2 * 2 = 4

Explanation: Thanks for the points !!

Using the Pythagorean Theorem, we can determine that the length of CD is 11.62, rounded to the closest hundredth.

When the length of the longest side of a right triangle is squared, the result will be equal to the total of the squares of the lengths of the other two sides of the right triangle that are smaller.

Taking into account the following:

Side AB = 6

Side AC = 12

The perpendicular bisector theory states that AD equals half of AB, which equals half of (6), which equals three.

By using the Pythagorean theorem, we get the following:

The length of the CD is equal to (AC2 - AD2)

The length of the CD is equal to 122 minus 32.

The length of the CD equals (144 - 9)

11.62 is the length of the CD.

Consequently, by using the Pythagorean Theorem, we can determine that the length of the CD is 11.62, rounded to the closest hundredth.

Discover further information on the Pythagorean Theorem by consulting:

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Answer:

Can I see the sign?

Step-by-step explanation:

Answer:

Reflection and a Dilation (I'm not too sure if this is correct hopefully it helps)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a dilation and a rotation

I JUST TOOK THE TSET

Answer:

3

Step-by-step explanation:

Standard form

1/3 x +6 = 0

Factorization

1/3 (x + 18) = 0

Solutions

x = -90/5 = 18

Answer: 36

Step-by-step explanation:

the average rate of change is two

so m=2

Answer:

J

Step-by-step explanation:

x = the number of guests

y = the charges per guest

400 = the rental fee for the banquet

HOPE THIS HELPS <333333

-Silver

Answer:

1. Given gross salary is = $768

Federal tax withholding = $68

Social security = 6.2% or 0.062*765 = $47.43

Medicare tax = 1.45% or 0.0145*765 = $11.09

State tax = 22% or 0.22*68 = $14.96

Now net salary = gross salary - tax deductions

= $623.52 (option D)

2.  = 17.13% (option D)

3. Option B.II and III

4. B.Checks are deposited in ATM's, so some retailers will not accept checks from a bank without ATM service.

5. B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.

6. D.Make purchases or get cash now, and pay back the bank in monthly payments.

7. A point of sale transaction occurs when an ATM withdrawal is made- yes this is right.

8. The answer is Thursday.

9. No picture given.

Step-by-step explanation:

Answer:

m<S = 80°

Step-by-step explanation:

The figure given shows a cyclic quadrilateral.

Angle S and Angle Q are opposite angles of the cyclic quadrilateral. Thus, it is known that opposite angles of a cyclic quadrilateral are supplementary. Since m<Q = 100°

Therefore:

m<S = 180° - 100°

m<S = 80°

Answer:

k=-9±2√15

Step-by-step explanation:

For the above quadratic to have equal roots then it's discriminant b²-4ac must equal 0

By comparing x²+(k+9)x+15=0 with ax²+bx+c=0,a=1,b=k+9 and c=15

(k+9)²-4(1×15)=0

k²+18k+81-60=0

k²+18k+21=0(factorize)

k=-9±2√15

Answer:

8x²+3x

Step-by-step explanation:

Answer:

The height of the flagpole is 46 feet

Step-by-step explanation:

First we find the ratio to connect the variables

Tan(∅) = opposite/adjacent

Plug in the Variables

Tan(39) = x/50

Solve for x

50*tan(39) = x

x = 40.48

Don't forget to include the man's height

40.48 + 6 = 46.48

Answer:

2 sorry if it’s wrong hope it helped

Step-by-step explanation:

Answer:

175 miles

Step-by-step explanation:

7 x 25

Answer:

150 miles apart

Step-by-step explanation:

6×25=150 miles

Answer:

WHAT ON EARTH

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 7/10 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

7 is a prime number;

10 = 2 × 5;

gcf (7; 2 × 5) = 1;

Answer:

First you have to find the common denominator

Next you take what you did to the bottom you gotta do to the top like if you 30 does into both them you multiple 3 times 2 cause you did that to 15 and multiply 7 times 3

Then you subtract

Step-by-step explanation:

Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

Answer:

I pretty sure its B.

Step-by-step explanation:

Answer:

The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]

Option B is correct option.

Step-by-step explanation:

We need to change the mixed number to improper & use KCF to rewrite the question.

The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]

First converting mixed fraction into improper fraction

Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2

Solving:

[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]

Using KCF

KCF stands fro Keep it, Change it, Flip it.

It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)

So, our expression will be

[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]

So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]

Option B is correct option.

C    

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When subtracting a negitive number from a positive number the difference ends up being a positive. The answer is 7, therefore, greater than 4.

Answer:

x = $9.50

Step-by-step explanation:

85.50 / 9 = 9.5 sooo..

hope this helped!

Answer:

c

Step-by-step explanation: