There are 40

The ordered pair (3,9) is a solution to the system of

nadya68 [22]

Answer:

(2,7) is not a solution to the given system of equations.

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

8 0

3 years ago

The point-slope form of the equation of the lin that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standa

Natali5045456 [20]

I got -x+y=11 but I’m probably wrong lol

4 0

4 years ago

In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from t

pishuonlain [190]

Answer:

D) 0.500

Step-by-step explanation:

Blue Socks = 6

Grey socks = 10

Probabilities to find :

Since there are a total of 16 socks, the probability of both socks being blue is

Probability(blue) = $(\frac{6}{16} ) \frac{5}{15} =\frac{30}{240} =\frac{1}{8}$

The probability of both being grey is

Probability(grey) = $(\frac{10}{16} ) \frac{9}{15} =\frac{90}{240} =\frac{3}{8}$

(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)

The probability two socks match:

Probability(blue) + Probability(grey) = $\frac{1}{8}$ + $\frac{3}{8}$ = $\frac{4}{8}$ = $\frac{1}{2}$ = 0.500

5 0

3 years ago

Pls help me I would be happy if do

Brilliant_brown [7]

Answer:

a prism is a three dimensional shape with the same width all the way through.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago