All categories

3 years ago

Need some help with the answer to the question

Mathematics

1 answer:

kicyunya [14]3 years ago

8 0

Answer:

(- 4, 27 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides

x² - 16 = 0 ← in standard form

(x - 4)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

Substitute these values into f(x) = - 2x + 19

f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

You might be interested in

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta

larisa [96]

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

x ⇒ number of miles run
y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

Read more about scatter plots at:

brainly.com/question/6592115

#SPJ1

8 0

2 years ago

What is the value of x and y?

Pavel [41]

Answer:

$x=\boxed{2}$

$y=\boxed{4}$

Step-by-step explanation:

$\begin{cases} y= 6x-8... (1)\\\\y=-3x+10...(2)\end{cases}$

From equations (1) & (2), we find:

6x - 8 = - 3x +10

$\therefore 6x+3x = 8+10$

$\therefore 9x = 18$

$\therefore x =\frac{18}{9}$

$\therefore x = 2$

Plug x = 2 in equation (1)

y = 6(2)-8 = 12-8 =4

So,

$x=\boxed{2}$

$y=\boxed{4}$

6 0

3 years ago

Read 2 more answers

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?

NNADVOKAT [17]

Answer:

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

8 0

2 years ago

if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do

Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

$i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203$

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

$A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs$

Hence, it takes 7.87 years for the principal amount to double.

4 0

3 years ago

(+6) + (+4) + (+6) + (+5)<br> simplify

Neporo4naja [7]

Answer: 21

1) simplify 6+4 to 10

10+6+5

2) simplify 10+6 to 16

16+5

3) simplify

21

3 0

3 years ago