2x²+12x-7 =0 (completing the square) give your answer to 2 decimal places

⇒Answer:

[tex]\frac{9}{20}[/tex]

⇒Step-by-step explanation:

Well 45% is saying it is 45% out of 100,

So we can make the following fraction

45/100

Then we simplify by dividing 45 and 100 by 5

Hence, the answer is [tex]\frac{9}{20}[/tex]

Answer:

(-1,3)

Step-by-step explanation:

we need to replace the values x and y for every point and see if the point satisfies all the inequations.

Point (-2,3):

x - y ≥ -4

-2 - 3 ≥ -4

-5 ≥ -4

Then, -5 is not greater than -4, so that point is not a solution.

Point (-1,3):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

-1 - 3 ≥ 4                     2(-1) - 3 ≤ 5             2(3) + (-1) > 1

-4 ≥ -4                        -5 ≤ 5                            5 > 1

Then, (-1,3) is a solution

Point (0,0):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

0 - 0 ≥ 4                      2(0) - 0 ≤ 5             2(0) + (0) > 1

0 ≥ -4                           0 ≤ 5                            0 > 1

Then, 0 is not greater than 1, so that point is not a solution.

Point (2,-2):

x - y ≥ 4                      2x - y ≤ 5              

2 - (-2) ≥ 4                  2(2) - (-2) ≤ 5          

4 ≥ -4                           6 ≤ 5                    

Then, 5 is not greater than 6, so that point is not a solution.

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ3

Complete question:

Answer:

from left: 220, 177

Step-by-step explanation:

unit rate = first derivative = slope

first graph;

slope = (880-660)/(4-3) = 220 ft/min

2nd graph;

slope = (177-0)/(1-0) = 177 ft/min

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

Answer:

a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.

b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.

c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.

Step-by-step explanation:

Answer:

Part A: it is linear because it is not curving and it consists of straight lines.

Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.

Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.

Step-by-step explanation:

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

Answer:

X= 48.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating heat energy H = mcΔT

m = mass of the aluminum (in g/kg)

c = specific heat capacity of aluminum

ΔT = change in temperature = T - Ti (in °C)

T is the final temperature

Ti is the initial temperature

Given m = 100.0g,  c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?

Substituting the given values into the formula;

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The final temperature of the metal is 31.81°C

Answer:

31.81c

Step-by-step explanation:

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

Answer:

Step-by-step explanation:

1: 0.75

2: 0.166

3: 0.466

4: 0.66

Sorry if anyone of these are wrong

Answer:

3/4=0.75

1/6=0.16666667

7/15=0.46666667

13/20=0.65

Step-by-step explanation:

You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.

Hope this helps ;) ❤❤❤

Answer:

x+4/5x

Step-by-step explanation:

x is increased by 80% 0f it self

80%of x= 4/5x

... x+4/5x

Answer:

126°

Step-by-step explanation:

Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:

The degree of a full circle = 360°

To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:

[tex] \frac{35}{100}*360 [/tex]

[tex] \frac{35*360}{100} [/tex]

[tex] \frac{12600}{100} [/tex]

[tex] \frac{126}{1} [/tex]

[tex] 126 [/tex]

126° is formed by the edges of the yellow region.

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

Answer:

B

Step-by-step explanation:

The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.

Answer:

Step-by-step explanation:

505 × 68 = 34340

Answer:

34340

Step-by-step explanation:

Plz mark me brainliest!

Answer:

hope its wht u require....

Answer:

69, nice

Step-by-step explanation:

118-49=69

Answer:

i think its 69, but i think im wrong

Step-by-step explanation:

Answer:

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

area=HbB/2

hope you understand

Answer:

19 tickets

Step-by-step explanation:

Nadine sold two kinds of tickets to her class play

The student tickets cost $3

Adult tickets cost $5.50

Nadine sold a total of 25 tickets for $90

We are required to find the number of students tickets that were sold

Let x represent the number of tickets sold to students

Let y represent the number of tickets sold to adults

x + y= 25

x= 25-y..........equation 1

Since the total cost of the ticket is $90

3x + 5.50y=90..........equation 2

Substitute 25-y for x in equation 2

3(25-y) + 5.50y= 90

75-3y+5.50y= 90

75+2.5y= 90

Collect the like terms

2.5y= 90-75

2.5y=15

Divide both sides by 2.5

2.5y/2.5=15/2.5

y= 6

Substitute 6 for y in equation 1

x= 25-y

x= 25-6

x= 19

Hence Nadine sold 19 student tickets

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

C.  4^x - 5x - 14.

Step-by-step explanation:

(f - g) x

= 4^x - 8 - (5x + 6)

= 4^x - 5x - 8 - 6

= 4^x - 5x - 14.

Answer:

144π or 452.4

Step-by-step explanation:

Volume of a Sphere Formula: V = 4/3πr³

Step 1: Plug in 6 for r

V = 4/3π(6)³

V = 288π

Step 2: Divide by 2

V = 288π/2

V = 144π

Answer:

6d+6 is the correct answer

Step-by-step explanation:

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

Answer:

[tex]cos^{-1}(\frac{5}{13} )[/tex]

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

D is the answer

Step-by-step explanation:

because it has high probability of success 70 %

so