how many and what type of solutions does 5x^2-2x+6 have

Explanation:

If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.

Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".

Answer:

5, 19, 21

Step-by-step explanation:

The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

Distance cover by Jodie = 1 kilometer

Step-by-step explanation:

Given;

Speed of Jodie = 6 kilometer/ hour

Total time Jodie ran = 10 minutes

Find:

Distance cover by Jodie

Computation:

Total time Jodie ran = 10 minutes = 10 / 60 = 0.1667 hour

Distance = Speed x time

Distance cover by Jodie = Speed of Jodie x Total time Jodie ran

Distance cover by Jodie = 6 x 0.1667

Distance cover by Jodie = 1.002

Distance cover by Jodie = 1 kilometer

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

Answer:

it has a slope of 1/3 and a point on the graph is (2,-3)

Step-by-step explanation:

Answer:

Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together  

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

Answer:

30

Step-by-step explanation:

idek

gradient = 12-4 ÷0-(-4)=8÷4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

N=3

Explanation:

Look at image below

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

Answer:

14 windows is the answer

Step-by-step explanation:

windows washed before lunch = 1/3 of total windows

= 1/3 * 33

= 11 windows

windows washed after lunch = 8

windows remaining = total - washed before lunch - washed after lunch

remaining = 33 - 11 - 8

= 33 - 19

= 14 windows

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

Answer:

option 4 see desmos graph will help you

Answer:

The answer is 20 gallons of yellow paint

Answer:

20 gallons of yellow paint.

Step-by-step explanation:

4/6 = x/30 is the equation.

4 represents yellow paint.

6 represents blue paint.

We know 30 gallon of blue paints was used.

But we dont know x , the amount of yellow paint.

Criss cross bottom to top

6× X = 4×30

6x= 120

x=20

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

Answer:

29.6925

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

Answer:

It's the third option.

Step-by-step explanation:

the answer is b and c

sorry if im wrong

Answer:

2 and 3

Step-by-step explanation:

Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:

[tex]x+x+1=3x-1[/tex]

Solving for the equation by isolating the term containing x, we have:

[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]

Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .

I hope this helps! Let me know if you have any questionss :)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) [tex]c^2+c+6[/tex]

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

No solution is posible

Step-by-step explanation:

You failed to show triangle ABC

Therefor this cannot be answered.

Answer:

As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:

A = LW

we then substitute them

34 square feet = x (x/2)

now all we need to do is find x first.

34 square feet = x squared / 2

now do a cross multiplication

68 square feet = x squared

then get the square root of both sides

8.246 feet = x

Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...

W = x/2

W = 8.246 feet / 2

W = 4.123 feet

And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.

you showed no diagram or any picture / screenshot

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Step-by-step explanation:

[tex] \frac{642}{3} \\ [/tex]

Answer:

[tex]214[/tex]

Step-by-step explanation:

[tex] = 642 \div 3 \\ = 214[/tex]