What is the discriminant of the quadratic equation 6x2 + x - 8 = 0?
-193
–191

191
193

Answer:

1/25, 0.04

Step-by-step explanation:

Reduced fraction: 4/100 = 2/50

Decimal: 0.04

Answer:

Fraction:

1/25

Decimal:

0.04

Step-by-step explanation:

Fraction:

4/100 (4%)

100/4 = 25

4/4 = 1

1/25

Decimal:

4/100 (4%) = 0.04

[tex]tan(x)=2.5\implies \measuredangle x=tan^{-1}(2.5)\implies \measuredangle x\approx \begin{cases} \stackrel{I~Quadrant}{68.2^o}\\\\ \stackrel{III~Quadrant}{248.2^o} \end{cases}[/tex]

Make sure your calculator is in Degree mode, Check the picture below on the left side.

well, the tangent recall is sine/cosine, or namely y/x, for that fraction if either of them is negative, the whole fraction is negative, if both are either positive or negative, the fraction is positive.

given such, on the 1st quadrant and 3rd quadrant that fraction y/x is positive because on the 1st quadrant both are positive and on the 3rd quadrant both are negative, yielding the fraction, namely tangent, positive.

[tex]cos(x)=-0.7\implies \measuredangle x=cos^{-1}(-0.7)\implies \measuredangle x\approx \begin{cases} \stackrel{II~Quadrant}{134.43^o}\\\\ \stackrel{III~Quadrant}{225.57^o} \end{cases}[/tex]

now, check the picture below on the right side, cosine or namely "x", is negative on the 2nd and 3rd quadrants only, the first angle you'd get from your calculator will be 134.43°, now, this one is on the 2nd quadrant, so it has a margin from 180° of 180 - 134.43 = 45.57, that means the angle of reference is 45.57° in red in the picture.

to get the 2nd angle on the 3rd quadrant, we add to 180° the reference angle, so 180 + 45.57 = 225.57°.

Answer:25

Step-by-step explanation:

so use fractoin to anwer

Answer:

15x+50

Step-by-step explanation:

multiply both numbers that are inside the parentheses by the number ouside of it. So 5×3=15, but the 3 also had an x atratched to it, hence 15x and 5×10=50, so combine them and you have your answer of 15x+50.

Answer:

D = 4/12 or 1/3

Step-by-step explanation:

Answer:

d=4/12

Step-by-step explanation:

5/12-1/12= d

d=4/12

whenever we run a perpendicular line to a base from a right-angle in a right-triangle, like in this case, we end up with 3 similar triangles, a Small one, a Medium and a containing Large one, thus Check the picture below.

Necessary Formulas:

Area of a Square = base x height OR length^2

---All sides of a square are the same length!

Perimeter of a Square = 4 x length

Steps to Solve:

Area of the square = length^2

49 = length^2

length = 7

Perimeter of the square = 4 x length

Perimeter = 4 x 7

Perimeter = 28

Answer:

The perimeter of the square is 28 meters.

Hope this helps!

Answer:

y=x-2 if you meaned this

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

-1= -2(1)+b

-1= -2+b

b= 1

y= -2x+1

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = [tex]\pi[/tex]r²h   (where r = radius and h = height)

Therefore, volume = [tex]\pi[/tex] x 5² x 3

                               = [tex]\pi[/tex] x 25 x 3

                               = 75[tex]\pi[/tex]

                               = 236 cubic units (to 3 significant figures)

Probabilities are used to determine the chances of events

The area of region X is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]X = 3.14 * 4^2[/tex]

[tex]X = 50.24[/tex]

The area of the dart is:

[tex]A = Length * Width[/tex]

[tex]A = 24 * 24[/tex]

[tex]A = 576[/tex]

The probability of landing in region X is then calculated as:

[tex]P(X) = 50.24/576[/tex]

[tex]P(X) = 0.087[/tex]

The area of region Y is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Y = 3.14 * 6^2 -3.14 *4^2[/tex]

[tex]Y = 62.8[/tex]

The probability of landing in region Y is then calculated as:

[tex]P(Y) =62.8/576[/tex]

[tex]P(Y) =0.109[/tex]

The area of region Z is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Z = 3.14 * 8^2 -3.14 *6^2[/tex]

[tex]Z = 87.92[/tex]

The probability of landing in region Z is then calculated as:

[tex]P(Z) = 87.92/576[/tex]

[tex]P(Z) = 0.153[/tex]

Hence, the probability of landing in region Z is 0.153

Read more about probabilities at:

https://brainly.com/question/25870256

Answer: D. 5 - x^4

Step-by-step explanation: We can see that the blue function is translated three units up, and inverted, so its leading coefficient is negative. The blue function can be rewritten as -x^4 + 3 to reflect these transformations. The only difference between the blue and the red function is that the red is two units higher, or five units total from the origin. Since they are the same shape, it will have a -x^4 in the formula, but since it is translated five units up its formula will be -x^4 + 5, which is also equal to 5 - x^4.

Answer:

20,000+600+2

4 1/2

Step-by-step explanation:

(2+3)^2-16 divided by 2

first you 2+3=5 then 5 times 5 equals 25

Then 25-16=9

9/2=4 1/2

can you provide a screenshot?

Answer:

C. [-5] < [-3]   ||   D. [-4] < [-2]

Step-by-step explanation:

in A. 5 should be greater, > than -3

in B. 2 should be greater, > than -4

in C. its correct answer. true statement.

in D.  its correct answer. true statement.

Answer:

the answer is D

Step-by-step explanation:

5<x+12

-12   -12

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

-7<x

Answer:

4 pens will cost $4.84

Step-by-step explanation:

1.21 times 4 = 4.84

Answer:

2.04

Step-by-step explanation:

100% + 104% = 204%

204 ÷ 100 = 2.04

Answer:

1/2 of farm land left.

Step-by-step explanation:

  Ok so we know that Chef Ollie has a community garden. And that she uses [tex]\frac{2}{6}[/tex] of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another [tex]\frac{1}{6}[/tex] of the farmland to grow kale.

  Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.

Step 1: Write down important numbers.

[tex]\frac{2}{6}[/tex], [tex]\frac{1}{6}[/tex],

Step 2: Add those numbers together.

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

Step 3: Write an expression/equation.

[tex]\frac{6}{6} - \frac{3}{6} \\or\\1 - \frac{1}{2}[/tex]

Step 4: Solve

=    [tex]\frac{3}{6}\\or\\\frac{1}{2}[/tex]

(can be written both ways)

  And you get your answer: After Chef Ollie has used [tex]\frac{2}{6}[/tex] to grow beets and [tex]\frac{1}{6}[/tex] to grow kale, she has [tex]\frac{1}{2}[/tex] of her farmland left untouched.

  To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.

You are welcome ;) .

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Answer:

You can answer this by using the unitary method, which involves finding the number of calories in 1 cup first.

In

1

4

of a cup there are

135

calories

In

4

×

1

4

=

1

cup there are

4

×

135

=

540

calories

In

2

×

1

=

2

cups there are

2

×

540

=

1080

calories

You can also use the method of direct proportion:

cups

calories

=

0.25

135

=

2

x

←

cross-multiply

0.25

x

=

135

×

2

x

=

135

×

2

0.25

x

=

1080

calories

Step-by-step explanation:

Answer:

Step-by-step explanation:

B, Yes and by AA

Answer:

The diagonal length of the suitcase is 30 inches.

Hope it helps. :)

Answer:

s = 4

Step-by-step explanation:

3(s + 8) = 36

Simplify the distributive property:

⇒ 3s + 24 = 36

Subtract 24 both sides:

⇒ 3s = 36 - 24

⇒ 3s = 12

Divide 3 both sides:

⇒ 3s/3 = 12/3

⇒ s = 4

Answer:

3

Step-by-step explanation:

1. open the bracket

i.e_ 2(a)=6

is 2×a=6

2. sum it up

2×a=6

=2a=6

3. divide both sides by the co-efficient of a which is 2.

2a\2a = 6\2a

=3a

therefore, a is 3

Answer:

[tex] {(x - 3) }^{2} = 30 - 2x \\ { \times }^{2} - 6x + 9 = 30 - 2x \\ x {}^{2} - 4x - 21 = 0 \\ (x - 7)(x + 3) \\ x = 7 \\ x = - 3[/tex]