There are 5 times as many yellow labs as terriers in the dog park .if there are a total of 18 dogs how many dogs are terriers?

1 answer:

8 0

Let t = number of terriers
1 x t = number of total terriers
5 x t = number of yellow labs
1t + 5t = 6t
6t = total number of dogs in the park
6t = 18
t = 18/6
t = 3
there are 3 terriers

You might be interested in

What are the graphs of y=sinx and y=cosx in the interval from -2 pi to 2 pi?

g100num [7]

I used Excel to create the tables and the graphs.

I attached both the tables and the graphs.

You should replace the numbers of the x-axis (in both graphs) by the numbers as a fraction of pi. Those numbers are also included in the table, so you should not have problems with that.

Open and see tha file attached with the answer to your question..

Download pdf

5 0

3 years ago

What is y=4x^2-9x+1 in vertex form

Anna11 [10]

Answer:

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

Step-by-step explanation:

$y = 4x^2 - 9x + 1$

You need to complete the square on the right side.

$y = (4x^2 - 9x) + 1$

$y = 4(x^2 - \dfrac{9}{4}x) + 1$

$y = 4 \left( x^2 - \dfrac{9}{4}x + \left( \dfrac{9}{8} \right)^2 \right) + 1 - 4\left( \dfrac{9}{8} \right)^2$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + \dfrac{16}{16} - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

3 0

3 years ago

HELP WILL GIVE BRAINLIEST IF CORRECT

mart [117]

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

Algebra I

Roots are when the polynomial are equal to 0

Algebra II

Synthetic Division

Step-by-step explanation:

Step 1: Define

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

Step 2: Synthetic Division

See Attachment.

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

Please excuse the bad handwriting. Hope this helped!