The sum of two numbers is 8, and the sum of their squares is 34. What is the smaller number?

Answers

Answer 1

Answer: Just by trying some small numbers, you discover two that work: 3 and 5.

3 + 5 = 8

3² + 5² = 9 + 25 = 34 .

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James needs 50 tons of dirt for a large construction project. He already has 3 tons of dirt at the construction site. Each dump truck can transport 8 tons of dirt. How many trips does the dump truck need to take to reach 50 tons of dirt?A.
5
B.
6
C.
7
D.
8

Answers

If he already has 3 tons of dirt at the site, He needs 50-3=47 tons to be carried by the truck
Minimum number of trips the truck will need to take=47/8
=5.875
But since the truck cannot actually take 5.875 trips, it will take the next whole number of trips so it will take 6 trips.(B)

WHAT IS THE ANSWER TO 0.16PSQUARED-0.0025

Answers

$(0.16)^2-0.0025=0.0256-0.0025=0.0231$

The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

If n is odd, then the formula for calculating median is given by;

Median = $((n+1)/(2) )^(th) \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}$

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = $((n+1)/(2) )^(th) \text{ obs.}$

= $((5+1)/(2) )^(th) \text{ obs.}$

= $((6)/(2) )^(th) \text{ obs.}$

= 3rd obs. = 19

Hence, the median of the data in the table is 19.

Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).

Answers

The vertex form of the quadratic equation is:

$g(x) = (x + 1)^2 - 2$

And the graph can be seen at the end

How to get the vertex form of the quadratic equation?

For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:

$y = a*(x - h)^2 + k$

Here we have:

$g(x) = x^2 + 2x - 1$

First, we need to find the vertex. by using the known formula we get:

$h = -2/(2*1) = -1$

To get the value of k, we need to evaluate g(x) in x = -1.

$g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2$

So the vertex is (-1, -2), which means that the vertex form is:

$g(x) = (x + 1)^2 - 2$

And its graph can be seen below.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ2

Answer:

the last one I think

Step-by-step explanation:

2x+2y find the slope and y intercept

Answers

Equations can be graphed.
Expressions can't.
(2x + 2y) is not an equation.
It can't be graphed.
It has no slope, and no intercept.
It's just an expression that stands for a number.
We can't find the number until we know the values of 'x' and 'y'.

If you told us a number that's equal to (2x + 2y), THEN we'd have
an equation, which could be graphed, and it would have a slope
and an intercept.

What is the first step in changing a percent to the equivalent fraction?

Answers

FIRST STEP: move the decimal place two spaces to the right EX: 50%-->.5

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