what is the slope of the graph

Answer:

The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].

Step-by-step explanation:

Let [tex]3\cdot x^{2}+x - 3 = 0[/tex], the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all [tex]a\cdot x^{2}+b\cdot x + c = 0[/tex], roots are determined by:

[tex]x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] (1)

Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are coefficients of the polynomial.

If we know that [tex]a = 3[/tex], [tex]b = 1[/tex] and [tex]c = -3[/tex], then roots of the polynomial are, respectively:

[tex]x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}[/tex]

[tex]x_{1,2} =\frac{-1\pm \sqrt{37}}{6}[/tex]

The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].

Answer:

so if you multiply the top number by the ottom its always 15

Step-by-step explanation:

Answer:

9 1/6

Step-by-step explanation:

=(35×3)+(10×6)6×3

=165/18

Simplifying 165/18, the answer is

=9 1/6

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.

The value of the x is [tex]\sqrt{26}[/tex].

To understand more, check below explanation.

Apply Pythagoras theorem in right side triangle,

            Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]

Now apply Pythagoras theorem in the left side triangle,

              [tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]

Hence, the value of the x is [tex]\sqrt{26}[/tex].

Learn more about the Pythagoras theorem  here:

https://brainly.com/question/21332040

Answer:

Step-by-step explanation:https://brainly.com/question/21290288

Answer:

6 9/14

Step-by-step explanation:

Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65

Answer:

[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]

Answer: freestyle

Step-by-step explanation:

Answer:

y=-1/2x+4

Step-by-step explanation:

the slope is -1/2x and y intercept is 4

Answer:

[tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

Step-by-step explanation:

  [tex](-7pq^2r^3) * (-13p^3q^2r)[/tex]

= 91[tex]p^{1+3q^{2r} }[/tex]*[tex]q^{2r^{3} }[/tex]

= [tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

Answer:

[tex]Amount\ at\ 2 \%=9000[/tex]

[tex]Amount\ at\ 4\% =2000[/tex]

Step-by-step explanation:

From the question we are told that

Principle [tex]P=1000[/tex]

Rate 1 [tex]r_1=2\%[/tex]

Rate 1 [tex]r_2=4\%[/tex]

Total Interest [tex]I=\% 260[/tex]

Let

Amount at [tex]2 \%=x[/tex]

Amount at [tex]4\% =11000-x[/tex]

Generally the equation for the simple interest is mathematically given as

[tex]\frac{x*2*1}{100} +\frac{(11000-x)*4*1)}{100} =260[/tex]

[tex]2x+44000-4x=26000[/tex]

[tex]2x-4x=26000-44000\\[/tex]

[tex]2x=18000[/tex]

[tex]x=9000[/tex]

[tex]Amount\ at\ 2 \%=9000[/tex]

Therefore

Amount at  [tex]4\% =11000-x[/tex]

Amount at  [tex]4\% =11000-9000[/tex]

[tex]Amount\ at\ 4\% =2000[/tex]

Answer:

6/10 or rounded to 3/5

Step-by-step explanation:

3/10 + 3/10 = 6/10

6/10 rounded is 3/5

Answer:

6/10

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

To do this you just have to do the slope formula which is y2-y1/x2-x1 then plug in the numbers so you get 2-6/8-6  which would get you which can be reduced to -2 so that would be the answer

Answer:

x = 9/2 or 4 1/2 or 4.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!

X - (- 4) = 12

X + 4 = 12

X = 12 - 4

X = 8

Check:

(8)+4=12

12 = 12

TRUE

Answer:

7 over 8

Step-by-step explanation:

Answer:

fraction: 7/8

decimal: 0.875

Step-by-step explanation:

Answer:

She had 40 carrots.

Step-by-step explanation:

60 - 18 = 42 -2 = 40

(3) y= 5x+ 13

you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.

Answer:

EF = HG and EF || HG

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:

If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG

Answer:

x=114

Step-by-step explanation:

These are alternate exterior angles, so they are the same. And because 114-10=104, they are the same if x=114.

Answer:

D. 3

Step-by-step explanation:

For n = 1:

q = 1/3 * 1 = 1/3

r = 3 * 1/3 + 2 = 1 + 2 = 3

For n = 2:

q = 1/3 * 2 = 2/3

r = 3 * 2/3 + 2 = 2 + 2 = 4

For n = 3:

q = 1/3 * 3 = 1

r = 3 * 1 + 2 = 3 + 2 = 5

Therefore, from the values of r that we found (3, 4, 5), the minimal value is 3.

Answer:

C

Step-by-step explanation:

21/ 3 is the answer of this question

Answer:

100.4

Step-by-step explanation:

Answer:

100.4

Step-by-step explanation:

Answer:

($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19

Step-by-step explanation:

First, let's define the variable:

p = pretzel packages

Let's first find out how much money Ben has after buying the notebook.

$19 - $7.25 = $11.75

So, we know that Ben has $11.75 left.

The inequality would be: ($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19

Answer:

Median: 32

Mode: 32

Mean of Distance: 22.60

Step-by-step explanation:

2, 3, 12, 32, 32, 32, 45

kobe 32 miles away

will smith 32 miles away

kim 12 miles away

wiz 2 miles away

andre 3 miles

lebron 32 miles

cardi b 45 miles

Answer:

10 + 2y

Step-by-step explanation:

2(5+y)

Distribute

10 + 2y

Answer:

2y + 10

Step-by-step explanation:

2(5(2) + y(2))

2 x 5 = 10

y x 2 = 2y

2y + 10