Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day? Write and solve an inequality. put this is an inequality pls!!

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

(x + 1)(x + 2) = x^2 + 3x + 2.

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

                                                       .......................

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).

Answer:

150.8 ft3

Step-by-step explanation:

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer:

In Fig. 8.27 , AP and, BP are tangents to a circle wit

Step-by-step explanation:

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!

Answer:

hi bye good luck

Step-by-step explanation:

Answer:

idek;)

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

167-97 = 70

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

Answer:

+1-1=0

4x>-8

x>-2

Step-by-step explanation:

Answer:

x>−2

Step-by-step explanation:

Step-by-step explanation:

[tex]2 {x}^{2} - 6x + 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{6± \sqrt{12} }{4} \\ x = 2.4 \: or \: 0.6[/tex]

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

Step-by-step explanation:

Given

Required equation:

The y-intercept is:

Bacteria population 35 in hours:

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

Answer:

11seconds

Step-by-step explanation:

Given the height of the hovercraft expressed as;

(x)=-(x-11)(x+3)

The height of the hovercraft on the ground is 0, hence;

0 =-(x-11)(x+3)

-(x-11)(x+3) = 0

Multiply both sides by minus

(x-11)(x+3) = 0

x-11 = 0 and x+3=0

x = 11 and -3

Since time cannot be negative, hence the hovercraft will land after 11seconds

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:

None of the listed choices are a solution

Step-by-step explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

---------------------

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

--------------------

Solution (4, -12)

Answer: 5

Step-by-step explanation:

Answer: [tex]12< x \leq 20[/tex]

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

[tex]x\leq20[/tex]

and it starts from the number 12 i.e.

[tex]12< x[/tex]

In interval notation it is

[tex]12< x \leq 20[/tex]

Answer:

C y=e^x-3

Step-by-step explanation:

Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces

16*5 = 80 ounces

5 pounds = 80 ounces

80-64 = 16 ounces

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft