Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.

9514 1404 393

Answer:

  (c)  {15 -√235, 15 +√235}

Step-by-step explanation:

For solutions p and q, the trinomial is ...

  (x -p)(x -q) = x² -(p+q)x +pq

That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.

The sums of roots in the answer choices are ...

  a) 30

  b) -30

  c) 30

  d) -30

We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.

The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.

_____

The product of the roots of C is ...

  (15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required

Answer:

C

Step-by-step explanation:

Answer:

4/10, 6/15, 8/20, 10/25

Step-by-step explanation:

The area of the shaded region is  73.4 cm².

What is Area ?

An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.

Given : Radius of circle = 5 cm

The area of circle = πr²

                             = 25π = 78.57 cm²

Now, the area of segment can be found by using the formula :

                 = 1/2 × r² × [ πФ/180 - sinФ]

So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]

                                  = 25/2 × [4π/9 - 0.9848 ]

                                  = 25/2 × [1.3968 - 0.9848]

                                  = 5.15 cm² approx.

So, Th area of shaded region = area of circle - area of segment

                                                  = 78.57 - 5.15

                                                 = 73.4 cm²

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9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

Answer:

x = 4.5 is the answer to the question

Answer:

Y= -72

Step-by-step explanation:

I dont know if that was the answer needed

Answer:

Isosceles

Step-by-step explanation:

Because an equilateral triangle is also isosceles, all triangles are either scalene or isosceles. But when people call a triangle isosceles, they're usually referring to a triangle with only two equal sides, because if the triangle had three equal sides, they'd call it equilateral.

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

Answer: all of dem except for 6

Step-by-step explanation:

Answer:

A  16°

B  -8°

C  6°

D  -16°

E  -4°

Step-by-step explanation:

Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.

A

3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°

B

1 lines above -10° = -10° + 2° = -8°

C

3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°

D

2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°

E

3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°

Answer:

Here...

Step-by-step explanation:

x  |  y

3  | 0

3  | 1

The picture is the graph ( I'm not sure why I wrote that you probably already knew... but, I'm not sure if this helps but here.. :D )

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

Answer:

2) +20

4) +14

5) -100

6) -17

7) 10

8) -9

9) -8

10) +11

Step-by-step explanation:

look at the words and it will tell you whether it's positive or negative

ex. one hundred feet below sea level- it says below which means you would be going down

Answer: It's 11683.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The shaded region is triangle.

Base = 1.1 in

Height = 3.8 in

Area of triangle = [tex]\frac{1}{2}*base * height[/tex]

                          [tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]

Area of shaded region = 2 * 2.09 = 4.18 square inches

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

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Answer:

the answer is 11, 13, 17

Step-by-step explanation:

this is because they do not have any even number that multiplies into them.

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

Answer: 72 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

Answer:

4.5yards

Step-by-step explanation:

$40 =5yards

$36 =?

36*5=180÷40

=4.5yards

The dressmaker would be able to buy 4.5 yards of flannel for $36.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that dressmaker buys flannel fabric by the yard. A purchase of 5 yards of flannel cost $40 then we need to find yards of flannel would the dressmaker be able to buy for $36.

Given ; $40 =5yards

$36 =?

Therefore, we get

36*5 = 180÷40

= 4.5yards

Hence, the dressmaker would be able to buy 4.5 yards of flannel for $36.

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Answer:

Step-by-step explanation:

Answer: True!

Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.

The correct order of reasons that complete the proof is:

Given

AB = 6 units

BC = 4 units

AC = 4 units

Diagonals are congruent

AC = BD = 4 units

ABCD is a rhombus

ABCD is a square.

Based on the given statements and reasons, let's determine the correct order of reasons to complete the proof that ABCD is a square.

Given: ABCD is a rectangle with vertices A, B, C, and D.

Reason: Given.

AB = 6 units.

Reason: The length of AB is given as 6 units.

BC = 4 units.

Reason: The length of BC is given as 4 units.

AC = 4 units.

Reason: Since ABCD is a rectangle, opposite sides are equal. Therefore, AB = CD = 6 units and BC = AD = 4 units.

Diagonals are congruent.

Reason: In a rectangle, the diagonals are congruent. Therefore, AC = BD.

AC = BD = 4 units.

Reason: From reason 4, we know that AC = 4 units. From reason 5, we know that AC = BD.

ABCD is a rhombus.

Reason: In a rhombus, all sides are equal, and opposite angles are congruent. Since AC = BD = 4 units (reason 6), ABCD satisfies the properties of a rhombus.

ABCD is a square.

Reason: In a square, all sides are equal, and all angles are right angles. Since ABCD is a rectangle (reason 1) and a rhombus (reason 7), it must also be a square.

Therefore, the correct order of reasons that complete the proof is:

Given

AB = 6 units

BC = 4 units

AC = 4 units

Diagonals are congruent

AC = BD = 4 units

ABCD is a rhombus

ABCD is a square.

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Answer:

the smallest value of the sum is 7.65 cm.

Step-by-step explanation:

Given;

3.4 cm + 4.3 cm = 7.7 cm

To obtain the least value of the given result, we will apply the rounding-off method;

In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.

The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)

Also, other possible values of 7.7 cm include;

7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm

Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.

Therefore, the smallest value of the sum is 7.65 cm.