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3 years ago

Which ordered pair comes from the table?

Mathematics

2 answers:

puteri [66]3 years ago

8 0

(2,1)

What this means is "find a 2 in the 'x' column and find a 1 in the 'y' column"
C is the only one where you can find them in the correct columns

If you do not fully understand the problem, let me know.

gtnhenbr [62]3 years ago

6 0

It would be C) (2,1) because the x axis is always the first number in a ordered pair

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives

Virty [35]

Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

8 0

3 years ago

Four identical robots lie on the ground

iren [92.7K]

Answer:

3’5”

Step-by-step explanation:

14/4

3 0

3 years ago

Currently they sell a tub of popcorn for $10. SHOW or EXPLAIN what the cost of the cone of popcorn should be. Door context: The

Nina [5.8K]

Answer:

The cost of cone of popcorn is $ 2.59.

Step-by-step explanation:

The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035.

The cost of per unit volume is

$10/540.473

The cost of cone of popcorn is

$\frac{10}{540.473}\times 140.035\\\\2.59$

7 0

3 years ago

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is $\frac{24}{8} = 3$ in.

Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

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3 years ago