Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Answer:

70 miles

Step-by-step explanation:

You multiply 35 by 2.5

Answer:

Step-by-step explanation:

2

(a )square root of 2 (c)

Answer:

Step-by-step explanation:

Answer:

2(2x+4)  4(x+2)  2(2x)+2(4)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Ee

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

Answer:

c

Step-by-step explanation:

Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

The required amount of sugar is given as 40 grams.

Given that,
A new soft drink has 20% less sugar than before. The drink had 50 grams of sugar originally, how much less sugar it has now is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
The final amount of sugar = [1 - 0.02][50]
                                  = 40 grams

Thus, the required amount of sugar is given as 40 grams.

Learn more about simplification here:

https://brainly.com/question/1369388

#SPJ2

Answer:

Step-by-step explanation:

1) 5+2*1-3+8 = 5+2-3+8 = 7-3+8 = 4+8 = 12

2) 2+5*1 = 2+5 = 7

Answer:

a) 5+2 x 1-3+8

5+2-3+8

=12

b) 2+5 x 1

2+5

=7

Step-by-step explanation:

Answer:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

Answer: it is called the base

Step-by-step explanation:

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Answer:

the answer is 600!

Step-by-step explanation:

the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!

Answer:

300+20x, 600 total copies created.

Step-by-step explanation:

x= number of days.

20 papers per day.

20(15) is 300.

300+300=600

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer:

m = 3

Step-by-step explanation:

-5m - 10 = -25

-5m = -15

m = 3

Answer:

[tex] - 5m - 10 = - 25 \\ - 5m = 10 - 25 \\ - 5m = - 15 \\ m = \frac{( - 15)}{ (- 5)} \\ \boxed{m = 3}✓[/tex]

Answer:

B

Step-by-step explanation:

Y is the like term here, so add them together: 3y+4y=7y.

So now you have 7y+6

Answer:

In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).

Answer:

the answer is 1.7320508076

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

brainly.com/question/10681095

Answer:

7/10 70%

Step-by-step explanation:

based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)

Answer: A

Step-by-step explanation: took the quiz and got it right

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Answer:

the area is 670.32 but it's not in there