Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

The inequality that can be used  to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.

Here are inequality signs and what they denote:

Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)

$1500 ≥ $575 + $5d

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Answer:

Probability=number of specific outcomes/total of all possible outcomes

There are 5 blue marbles and a total of 15 marbles.

So the probability of drawing a blue marble from the jar is:

5/15

1/3

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

The triangles are congruent when corresponding sides are congruent.

__

ΔFGH ≅ ΔABC means corresponding sides are ...

  (GH, BC) = (V, 16)

  (HF, CA) = (48, W)

Corresponding sides being congruent means ...

  V = 16

  W = 48

Answer:

80

Step-by-step explanation:

10 limits it to 50, 60, 70, 80, and 90

2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45

8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)

Translation is a transformation technique of changing the position of an object on the xy plane

Given the coordinates of the vertices (1, 4), (1, 1), (3,1)

If the shape A is translated three squares right and one squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)

Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.

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Answer: $409.55

Step-by-step explanation:

100% - 16% = 84%

84% of 487.56 = 409.5504.

Round to nearest hundredth.

$409.55

The the equation K = C + 273.15 when solved for c is C = K - 273.15

K = C + 273.15

K - 273.15 = C

Therefore,

C = K - 273.15

Complete question:

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

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Answer:

When solved for C, the equation is

C = K – 273.15

Step-by-step explanation:

Answer:

[tex]16x^{5} + 16x^{4}[/tex]

The ratio of any side and hypotenuse is always less than 1.

The question seems incomplete

The options are not given the options are

a. 1

b. 0.5

c. 2

[tex]sin\theta=\frac{Opposite side}{hypotenuse}[/tex]

Therefore, the ratio of any side and hypotenuse is always less than 1. Now, in the case of 0 or 90 degrees, the figure is no longer a triangle because one of the sides ceases to exist while the other side coincides with the hypotenuse.

This is the reason that in these extreme cases, sin and cosine take values 0 or 1.

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Answer:

Step-by-step explanation

2 * [3 * (16 + 1)] - 8 =

2 * [3 * 17] - 8 =

2 * 51 - 8

102 - 8 =

94

To factorize a polynomial you need to find the zeros, and then you can write the polynomial as a product of bynomials.

For a polynomial of the form:

[tex]p(x) = A_n*x^n + A_{n-1}*x^{n-1} + ... + A_1*x + A_0[/tex]

We define the zeros as the values of x such that:

p(x) = 0.

On the above case, the degree of the polynomial is n (the maximum exponent). Then the number of zeros of the polynomial is n (same as the degree).

Once we know the n zeros, we can factorize the polynomial as:

[tex]p(x) = A_n*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]

For example, for the polynomial:

[tex]p(x) = 2x^2 - 8[/tex]

The two zeros are x = 2 and x = -2, then it can be rewriten as:

[tex]p(x) = 2*(x + 2)*(x - 2)[/tex]

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Answer:

C: 5%

Step-by-step explanation:

175 out of 3500 = 175/3500

175/3500 = 1/20

1/20 = 0.05

0.05 = 5%

Answer:

C 5%

Step-by-step explanation:

I am smart so trust me

Answer:

both

Step-by-step explanation:

that's the answer to the question

Answer:

  B: 610; A: 202,000

  D: 253; C: 2,007,000

Step-by-step explanation:

These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.

__

This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...

   597 +13 +(-176 +176)

  = 597 +13

This can further be rearranged to ...

  = (597 +3) +(13 -3)

  = 600 +10

  = 610

__

The factor 2020 can be put outside parentheses using the distributive property:

  = 2020(173 -73)

  = 2020×100

  = 202,000

__

The value 15 is repeated. Terms using it can be combined using the distributive property.

  = 15(17 -1) +13

  = 15(16) +13

  = 240 +13

  = 253

Another way to look at this one is to use the factoring of the difference of squares.

  = (16 +1)(16 -1) +(-15 +13)

  = 16² -1² +(-2)

  = 256 -3

  = 253

__

Again, we can focus on rearranging so 2019 only needs to show up once.

  = 2019(890 +110) -12000

  = 2019×1000 -12×1000

  = (2019 -12)×1000

  = 2,007,000

Answer:

-10 is the opposite of 10

Step-by-step explanation:

-10 is the opposite of 10 ,because The sum of a number and its opposite equals to zero.

Answer:

The LCM of 16x^2 and 40x^2 is 80x^5

:) Good Luck

Step-by-step explanation:

To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.

In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.

According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.

Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.

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Answer:

13.3787 m

Step-by-step explanation:

A = 3 × ( 2 + √3 ) × s2
If a is 2004 just do the reverse order and u get the answer

Answer:

reflection

Step-by-step explanation:

its like a mirror, if it were rotated, they wouldnt line up as the same image. think of this like looking in a mirror! :)

Refer to the attachment

Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.

According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.

90 + 7x - 20 + 4x = 180

70 + 11x = 180

11x = 180 - 70

11x = 110

11x/11 = 110/11

x = 10

m∠ACB = 7x - 20

Plug in the value of x

m∠ACB = 7(10) - 20

m∠ACB = 50° (option B).

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Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

Answer:

c = a√2

Step-by-step explanation:

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

since there is no measure, I will write you the formula:

c (hypotenuse) = a√2

Answer: Option C is correct.

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

⇒ x/2 = 8

⇒ x = 8(2)

⇒ x = 16

⇒ x + 8 = 3x

⇒ 3x - x = 8

⇒ 2x = 8

⇒ x = 4

⇒ x = (x + 5)/2

⇒ 2x = x + 5

⇒ 2x - x = 5

⇒ x = 5

The employee that has the larger pay increase is Jane. Her income is larger by £65.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.

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Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

Answer:

8%+10%=180 180÷100=1.8% grapefruit is heavier than Apple

Answer:

8000.

Step-by-step explanation:

um I said so you don't need no step by step.

1 year or less is at the first quartile mark in the box plot, therefore, the number of schools that participated for a year and less is: A. 6 schools.

The data point at the beginning of the edge of the rectangular box in a box plot is the first quartile mark of the data, which is 1/4 or 25% of the data.

1 year or less is at the first quartile mark in the box plot. That is 1/4 of the total number of schools.

Therefore, schools that participated for a year and less = 1/4(24) = 6 schools.

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[tex] \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} [/tex]

[tex] \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } [/tex]

[tex] \boxed{ \bold{5 \: - \: \sqrt{3} }}[/tex]