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3 years ago

Which of the following is equal to the expression 6 x 19?

Mathematics

2 answers:

olchik [2.2K]3 years ago

7 0

<h3>Answer: Choice D</h3>

Explanation:

Think of 19 as 10+9

This means 6 x 19 = 6 x (10 + 9) = (6 x 10) + (6 x 9) through the distributive property. We multiply the outer 6 by each term inside the parenthesis.

spayn [35]3 years ago

4 0

I agree with guy above I took test it was correct

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Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2

Nesterboy [21]

Answer:

Vertex form: $f(x)=(x-1)^2-3$

Standard form: $f(x)=x^2-2x-2$

Step-by-step explanation:

A quadratic function in vertex form is $f(x)=a(x-h)^2+k$ where $(h,k)$ is the vertex.

We are given $h=1,k=-3$ .

Let's plug that in:

$f(x)=a(x-1)^2-3$ .

Now let's find $a$ .

We will use the $y$ -intercept $(0,-2)$ to find $a$ .

$f(0)=a(0-1)^2-3$

$-2=a(0-1)^2-3$

$-2=a(-1)^2-3$

$-2=a(1)-3$

$-2=a-3$

$1=a$

So the function in vertex form is:

$f(x)=(x-1)^2-3$ .

In standard form, we will have to multiply and combine any like terms.

Let's do that:

$f(x)=(x-1)(x-1)-3$

$f(x)=x^2-x-x+1-3$

$f(x)=x^2-2x-2$

5 0

4 years ago

Mrs. Spring left half of her estate to her son Sam. She left half of the remaining half to her cousin Fred. She left half of the

FinnZ [79.3K]

The total amount of Mrs. Spring's estate is $200,000

<h3>What is a fraction?</h3>

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the total estate = 100x

Share left with Sam = 50x

Remaining share = 50x

Now,

Share left with cousin Fred = 1/2 of 50x = 25x

Remaining share = 25x

Share left with nephew Bill = 1/2 x (25x) = 12.5x

Remaining share = 12.5x

Share left with the care of the cat Chester = 12.5x

12.5x = $25,000

Now,

12.5x = $25,000

Multiply with 100/12.5 on both sides.

100/12.5 x 12.5x = 100/12.5 x $25,000

100x = $200,000

Thus,

The total amount of Mrs. Spring's estate is $200,000

Learn more about fractions here:

brainly.com/question/24370499

#SPJ1

5 0

1 year ago

The numbers of pages in the books in a library follow a normal distribution. If the mean num

bogdanovich [222]

Answer:

For the answer to the question above, the numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, you can conclude that about 16% of the books have fewer than 150 pages.

7 0

2 years ago

Question One

Volgvan

Answer:

7:11

Step-by-step explanation:

No of linemen = 7

No of running backs = 2

No of fullback = 1

No of quarterback =1

The total no of players on the team = 7+2+1+1 = 11

We need to find the ratio of the number of linemen to the total number of players on the team.

R = 7/11

R = 7:11

Hence, the required ratio is 7:11.

8 0

3 years ago

5. The sum of two numbers is 24. Five times the first number minus the second

photoshop1234 [79]

Answer:

6 and 18

Step-by-step explanation:

a+b=24

5a-b=12

5a+a=6a

24+12=36

6a=36 so A on it's own is 6

24-6=b

b=18

hope this helps!

8 0

2 years ago

Read 2 more answers