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3 years ago

Below is the graph of y = g(x)

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Instead of y = g(x)^2, it should be y = g(x)+2

What this means that every point on g(x) will be shifted up 2 units. A point like (2,-1) which is the saddle point shown on the graph, will move up to (2,1) after you shift up 2 units. Every other point will follow the same path. Another example: The point (0,-5) -- which is the y intercept -- will move up to (0,-3).

Check out the attached image below for a visual of what's going on.

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Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs an ad

swat32

Answer:

350 miles

Step-by-step explanation:

Let x represent the miles driven

The cost with the first plan will be represented by 0.40x + 70

The second plan will be represented by 0.60x

Set these 2 expressions equal to each other and solve for x:

0.40x + 70 = 0.60x

70 = 0.20x

350 = x

So, Susan will have to drive 350 miles for the cost to be the same

4 0

2 years ago

To make concrete it takes 8 parts crushed gravel, 7 parts water and 5 parts cement mix. A worker needs to make 220kg of concrete

Alika [10]

A) 8 + 7 + 5 = 20 parts
b) 220 kg ÷ 20 = 11
c) 8 parts crushed gravel: 8 x 11 = 88 kg
7 parts water: 7 x 11 = 77 kg
5 parts cement: 5 x 11 = 55 kg

8 0

2 years ago

three uses 8 pieces of glass per square foot to make a stained glass window how many pieces of glass will he need to make a wind

yanalaym [24]

1 foot = 12 inches
864/12=72 The window is 72 square feet.
A man uses 8 pieces of glass per square foot to make a stained glass window. So he needs to use 72*8=576 pieces of glass.

8 0

2 years ago

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

Rom4ik [11]

The linear equality represented by the graph as, $\rm y > \frac{2}{3} x+3$

<h3>What is the definition of inequality?</h3>

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

The slope of the dashed line is found as;

$\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\\ m = \frac{3-1}{0+3} \\\\ m= \frac{2}{3}$

The slope-intercept form is;

y=mx+c

Substitute the obtained value;

$\rm y = \frac{2}{3}x+3$

We are aware that the given line Is a dashed line, and everything to its left is shadowed.

Hence, the linear equality is represented by the graph as, $\rm y > \frac{2}{3} x+3$

To learn more about inequity, refer to brainly.com/question/20383699

#SPJ1

4 0

1 year ago

The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse

diamong [38]

Answer: The answer is cosine of that acute angle.

Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

$\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.$

Thus, the ratio is cosine of the acute angle.

7 0

2 years ago