How many solutions does the system of equations have?

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

(a). The probability that one of these five numbers is 3 is [tex]\frac{5}{6}[/tex].

(b). The least possible sum of the five numbers​ is 15

Probability is the ratio of number of favourable outcomes to the total number of outcomes.

When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.

The probability that one of these five numbers is 3 is computed as,

                        [tex]P(E)=\frac{5}{6}[/tex]

The least possible sum of the five numbers, when the number 6 is hidden.

Least sum = 1 + 2 + 3 + 4 + 5 = 15

Learn more about the probability here:

https://brainly.com/question/24756209

Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

Learn more about translation of a graph here: brainly.com/question/14753556

#SPJ2

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Answer:

D

Step-by-step explanation:

If im inncorect you can check this with "Mathaway"

Answer: D

Hope this helps!

Answer:

The equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].

Step-by-step explanation:

Algebraically speaking, a plane can be represented by following vectorial product:

[tex](a,b, c)\,\bullet\,(x,y,z) = 1[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Plane coeffcients.

[tex]x[/tex], [tex]y[/tex], [tex]z[/tex] - Coordinates.

We need three distinct points to determine all coefficients. If we know that [tex](x_{1},y_{1},z_{1}) = (0,9,9)[/tex], [tex](x_{2},y_{2}, z_{2}) = (9,0,9)[/tex] and [tex](x_{3},y_{3},z_{3}) = (9,9,0)[/tex], the system of equations to be solved is:

[tex]9\cdot b + 9\cdot c = 1[/tex] (1)

[tex]9\cdot a + 9\cdot c = 1[/tex] (2)

[tex]9\cdot a + 9\cdot b = 1[/tex] (3)

The solution of this system is [tex]a = \frac{1}{18}[/tex], [tex]b = \frac{1}{18}[/tex], [tex]c = \frac{1}{18}[/tex].

Hence, the equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].

Area of a triangle  = 1/2 x length x height.

80 = 1/2 x (x+1) (2x-2)

Multiply both sides by 2:

160 = (x+1)(2x-2)

Expand the right side:

160 = 2x^2 -2

Add 2 to both sides:

162 = 2x^2

Divide both sides by 2:

81 = x^2

Take the square root of both sides:

x = 9

Now find the length of the s1des:

(x+1) = 9+1 = 10

2x-2 = 2(9) -2 = 18-2 =16

The shorter side is 10

Answer:

Step-by-step explanation:

abcd=540

2(5)9a=540

90a=540

a=540/90

a=6

Answer:

Decreasing; 0.8%

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ5

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

To know more about differentiation click on,

https://brainly.com/question/24898810

#SPJ2

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)

Answer:

360°

Step-by-step explanation:

Based on what I know that the total of degrees has to be 360°. So, two sides of the rhombus have to have two acute angles and two obtuse angles. So, the  Image shows that the 63° is an acute angle. So, multiply 63 by 2 which is 126. Then subtract 126 from 360 which is 234. Then, divide 234 by 2 which is 117. Lastly, add 63 with 63 and 117 with 117 which is 360.

Hopefully, you understand.

Answer:

3,500,000

Step-by-step explanation:

the ten thousands place is a 5 so you round the 4 up to a 5

Answer:

3 7/8

Step-by-step explanation:

8 3/8 - 4 1/2 =

8 3/8 - 4 4/8=

7 11/8 - 4 4/8 =

3 7/8

Answer:

The person above is correct

Step-by-step explanation:

When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.

Answer:

B.  28/15

Step-by-step explanation:

7/3 x 4/5 = 28/15

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

Answer:

no, it is not free. $31.08 is the sale price

Step-by-step explanation:

1 - .4 = .6 –––––> paying 60% of original price with first discount

129.50 • .6 = $77.70

1 - .6 = .4 ––––––> paying 40% of the discounted price

77.70 • .4 = $31.08 is the sale price

Step-by-step explanation:

[(4³)² × 5⁶] ÷ 6⁶

(4⁶ × 5⁶) ÷ 6⁶

(4 × 5)⁶/6⁶

20⁶/6⁶

=

[tex]( \frac{20}{6} )^{6} [/tex]

=

[tex] (\frac{10}{3} ) ^{6} [/tex]

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Answer:

the answer is: A

Step-by-step explanation:

31/2×12/3=3 2/6

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Answer:

Riian completed a greater amount of homework.

Step-by-step explanation:

The fraction 7/8 is greater than the fraction 2/3.

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

Answer:

A) 45

B) 80

C) 50

Step-by-step explanation:

When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.

When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.

When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.

When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.

Answer:

vertically Angle is correct answer