Solve this quadratic equation.

6x2 - 2x = 7

This is not the question, the correct question is:

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.

Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answer:  The numerical limits for grade B is 81 and 92

Step-by-step explanation:

Given that

mean Ж = 79

Standard deviation S = 8.4

B: Scores below the top 6% and above the bottom 59%

To find the numerical value for Grade B

Below the top bottom 6% ( 0.06) is

p ( X < Ж ) = 1 - 0.06

p ( X < Ж ) = 0.94

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.94

(X - 79) / 8.4 = 1.5548 ( from normal distribution table )

X - 79 = 13.0603

X = 13.0603 + 79

X = 92.06 ≈ 92 ( nearest whole number)

Above bottom 59% ( 0.59) is

p ( X < Ж ) = 0.59

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.59

(X - 79) / 8.4 = 0.2275 ( from normal distribution table )

X - 79 = 1.9114

X = 1.9114 + 79

X = 80.91 ≈ 81 ( nearest whole number)

So the numerical limits for grade B is 81 and 92

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

Answer:

C: 1 and 3

Step-by-step explanation:

EDGE2021

Answer:

A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Step-by-step explanation:

The only thing that has changed is that x^2 is multiplied by 5.

If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.

If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.

Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Hope this helps!

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph  that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph  that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

Answer:

The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star

Step-by-step explanation:

Answer:

parallel lines have the same slope. so your new equation will be y = 7/3x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (7/3)(-9) + b

b. 4 = -21 + b

c. b = 4 +21

d. b = 25

your equation is y = 7/3x + 25

perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (-3/7)(-9) + b

b. 4 = (27/7) + b

c. b = 4 - (27/7)

i. (112/28) - (108/28) = 4/28

d. b = 1/7

your equation is y = -3/7x + 1/7

hope this helps :)

Answer:

Tax avoidance - legal

Tax evasion - illegal

Answer:

a) 56548.7 cm³

b) 13 minutes

Step-by-step explanation:

a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)

Fill in r=30 gives: 56548.7 cm³

b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes

Answer:

ΔRCQ = ΔAPS

QR = PS (CPCTC)

ΔSRD ≅ ΔQPB

PQ = RS (CPCTC)

Step-by-step explanation:

Given that ABCD is a parallelogram, we have;

AD = BC, and DC = AB (Definition of a parallelogram)

AD = AS + SD Given S is midpoint of AD

Similarly,

DC = DR + RC

BC = BQ + QC

AB = AP + PB

RC = DR = AP = PB

BQ = QC = QC = BQ  segments on either sides of midpoint

∠BCA = ∠DAB (opposite interior angles of a parallelogram)

ΔRQC ≅ ΔSPA

ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)

Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Similarly we have;

∠CDA = ∠CBA (opposite interior angles of a parallelogram)

ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)

Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).

Answer: D. range

Step-by-step explanation:

To measure the center of the tendency we use Mean , median or mode depends on the type of data.

But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.

Range= distance between initial and final point.

here, range = distance between the starting point and the point where water-skiing accident occurs.

Hence, the correct option is D. range

Answer:

hope it helps

Step-by-step explanation:

ans = -4

Answer:

4

Step-by-step explanation:

Let A be the point wich coordinates are (2, -4)

-4 is the ordinate (y)

To find the distance from the x axis use the absolute value.

D (the distance) = | -4| = 4

The distance from the x-axis is 4

Answer:

its 147

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

[tex]7x + 24 = 3x + 92[/tex]

Move variable to L.H.S and change its sign

[tex]7x - 3x + 24 = 92[/tex]

Move constant to R.H.S and change its sign

[tex]7x - 3x = 92 - 24[/tex]

Calculate

[tex]4x = 68[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{68}{4} [/tex]

Calculate

[tex]x = 17[/tex]

Replacing value

<A = [tex]7x + 24[/tex]

[tex] = 7 \times 17 + 24[/tex]

[tex] = 119 + 24[/tex]

[tex] = 143[/tex]

hope this helps...

Answer:

Hey there!

For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.

For the second question we get a trapezoid, since the cross section does not pass through the vertex.

Hope this helps :)

Answer:

x = -33

Step-by-step explanation:

2/3(x+6)=-18

Multiply each side by 3/2

3/2*2/3(x+6)=-18*3/2

x+6 = -27

Subtract 6 from each side

x+6-6 = -27-6

x = -33

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex](p-q)^2[/tex]

[tex](p-q)(p-q)[/tex]

Use FOIL method.

[tex]p^2-pq-pq +q^2[/tex]

[tex]p^2-2pq +q^2[/tex]

Answer: square 105

Step-by-step explanation: Confirming answer

A radical expression is an expression containing a square root, mostly a square root.

The value of √3.√5.√7 in radical form is √105.

A radical expression is an expression containing a square root, mostly a square root.

We have,

√3.√5.√7

We can multiply the numbers together.

= √(3 x 5 x 7 )

= √(15 x 7)

= √105

Thus the value of √3.√5.√7 in radical form is  √105.

Learn more about radical form here:

https://brainly.com/question/27272065

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Answer:

d

Step-by-step explanation:

a1 is 14

Given that a1 is 14, you can see that each next number in the sequence is larger than the previous one by 4, so an= an-1+4

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

[tex]k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}[/tex]

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

[tex]k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5[/tex]

Hence, the constant of variation k for the direct variation is -0.5.

Answer:

The correct ans is 3.

g(-2) = 2(-2) + 5

=-4 + 5 = 1

f(g(-2)) = 4 - (1)^2

= 4 - 1

=3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Because You have to just do the perimeter by counting the sides

Answer:

2000

Step-by-step explanation:

Hello,

A or C means 2 ways

and then a digit means 10 ways 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

so in total we have 2*10*10*10 = 2000 possible codes

Hope this helps

=======================================================

Explanation:

The distribution is perfectly symmetrical about the center 6. Notice how the left side is a mirror copy of the right side, due to the heights being the same. Because of this, the mean, median and mode are all the same value and that is 6. The mode is equal to 6 as this is the most frequent value.

The longer way to do this problem is to add up each value shown. We have four copies of '2', six copies of '3', and so on. The total sum you would get is 372. Divide this over 62 because there are 62 smaller green squares. The final result is the mean of 6.

The number closest to the mean of the given distribution is 6. Therefore, option A is the correct answer.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

From the given histogram,

Number         Frequency

    2                      4

    3                      6

    4                      7

    5                      9

    6                     10

    7                      9

    8                      7

    9                      6

   10                      4

Here, the mean = [2(4)+3(6)+4(7)+5(9)+6(10)+7(9)+8(7)+9(6)+10(4)]/[4+6+7+9+10+9+7+6+4]

= [8+18+28+45+60+63+56+54+40]/62

= 372/62

= 6

Therefore, option A is the correct answer.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

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Answer:

6

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots. These can be real, complex or both.

f(x) = 2[tex]x^{6}[/tex] - 3x³ + 1 - 2[tex]x^{5}[/tex] ← is a polynomial of degree 6

Thus the maximum number of real roots is 6

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE

Answer:

69.1 ft

Step-by-step explanation:

A circle has 360 degrees.

The arc we are finding the length of is 330 degrees.

Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)

Let's find the circumference of the entire circle.

Circumference is πd.

The radius of the circle is 12ft.

Diameter is double of radius.

12*2=24

The diameter is 24.

Plug that in.

24π=75.36 when using 3.14 for π

Multiply that by 11/12.

11/12*75.36=69.08

Round 69.08 to nearest tenth.

69.1

Keywords:

Circle

Circumference

Arc

Diameter

Radius

Learn more about arc length here:

https://brainly.com/question/16930503

Answer:

  (-3/70)a

Step-by-step explanation:

Solving for ?, we have ...

  70? +3a = 0 . . . . . subtract (7a +3)

  ? +(3/70)a = 0 . . . . divide by 70

  ? = -(3/70)a . . . . . . subtract 3/70a

The missing factor is (-3/70)a.

Answer:

185

Step-by-step explanation:

All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.

Hope this helps!

Answer:

185

We know 92.5% of 100 is 92.5%, so 92.5 of 200 is just 92.5×2.

Answer: 28

Step-by-step explanation:

I can't really think of a way to explain this well without visuals and idk how to add images on my answer. But, what I normally do is draw out the shape on paper divide the shape into different sections. Solve the area of the separate sections. It simplifies the more complex figure and turns them into basic shapes. After solving each shape, add all of them together and that leaves you with the area. Hopefully you understand what I mean. I hope this sort of helped:)

Answer:

[tex]\large \boxed{\sf \ \ 9^3+10^3=1729 \ \ }[/tex]

Step-by-step explanation:

Hello, I choose 9 and 10, so I can write

[tex]9^3+10^3=(9+10)(9^2-9*10+10^2)=(10+9)(81-90+100)=10*91+9*91=910+819=1729[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: -6y= -3x-9

Since the slope is -6

y will be -6y

and the rest is -9, -3x