Question 3 of 10
A student performed the following steps to find the solution to the equation
x2 + 4x - 12 -0. Where did the student go wrong?
Step 1. Factor the polynomial into (x+6) and (x-2)
Step 2. x-6 = 0 and x + 2 = 0
Step 3. X = 6 and x = -2
O A. in Step 2
B. in Step 1
O C. in Step 3
D. The student did not make any mistakes, the solution is correct

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³

Answer:

lol

Step-by-step explanation:

lol

Step-by-step explanation:

mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).

A)

since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).

B)

the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.

since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.

the only change is with the 2 corrected measurements.

the original (but wrong) measurement of 65 had a difference of 7 (to 72).

and now it is only 2 (70 to 72).

and the other one had a difference of 6 (72 to 78).

and now it is only 1 (73 to 72).

so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.

we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.

now this sum went down to 85-10 = 75.

and the new mean absolute deviation is 75/10 = 7.5.

Answer:

1 4979/9999

Step-by-step explanation:

1.497949794979....

= 1 4979/9999

Answer:

Y=p/9

Step-by-step explanation:

Can u see p = 9y?

But there is no option of p = 9y

So try to work a bit on the formula to y = p/9

The two angles are supplementary angles and form a straight line which equals 180 degrees

x = 180 - 125

X = 55 degrees

Answer:

hope this will help you

Step-by-step explanation:

x+125=180

x=180-125

x=55°

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

Answer:

24 units

Step-by-step explanation:

I really don't understand this, except for the fact that i found a workbook that has an answer with no work

hope this helps?:)

1) 7 = 7.0

2) 23 = 23.0

3) 1.562 = 1.6

Answer:

1) round off 7 to the nearest 10 is 10

2) round off 23 to the nearest 10 is 20

3)round off 1.562 to the nearest 10 is1.6

step by step explanation :

any whole number that is 5 and more can be rounded off to 10 e.g 5, 6 ,7 but numbers that are less than 5 can't be rounded off to 10 so it's becomes 0 e.g 4,2,3

example : round off 12 to the nearest ten

the answer is 10

Answer:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

Step-by-step explanation:

Turning points (stationary points) occur when the gradient of a graph is zero.

To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.

Given function:

[tex]f(x)=-2x^2+x+6[/tex]

Differentiate:

[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]

[tex]\implies f'(x)=-4x+1[/tex]

Set the differentiated function to zero and solve for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies -4x+1=0[/tex]

[tex]\implies 4x=1[/tex]

[tex]\implies x=\dfrac{1}{4}[/tex]

To find the y-coordinate, input the found value of y into the given function:

[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]

[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]

Therefore, the turning point of the function is:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

answers

f=1/4=49/8

Step-by-step explanation:

identify the coefficients

a=-2, b=1

substitute the coefficient into the expression

x= -1/((2x(-2))

then solve it out the equation

x=1/4

evaluate the function x =1/4

f(x) =-2x²+x+6(1/4)

f=1/4=49/8

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7

Step-by-step explanation  

mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,

median is middle so 9 since theres two middle numbers u add them both and then divide by 2

mode is the most so its 8 since 8 is there 3 times

range is the highest number and lowest number and u subtract them so 15 - 8 = 7

sorry if this is long but the answers are at the top

Answer:

Below in bold.

Step-by-step explanation:

Mean = ( 8 + 10 + 8 + 14 + 8 + 15) /  6

=  10.5.

Arrange in ascending order to find the median:

8 8 8 10 14 15

Median = mean of the middle 2 numbers

= (8 + 10)/2

= 9.

Mode = most occurring number = 8.

Range = greatest - least = 15 - 8 = 7.

Answer:

6

explanation

[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q1

Q2

Answer:mbvcdhfguh

Step-by-step explanation:kvghjve5yr

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

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

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

Answer:

c

Step-by-step explanation:

vertically opposite angles are always equal

here, the angle with the measure 52 degree and angle c are vertically opposite angles

so angle with the measure 52 degree = angle c

angle c equals to 52 degree

The angle that will be formed by the cable based on the information given will be 15°.

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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Answer:

$1.05

Step-by-step explanation:

Find the unit price by dividing $0.75 by 5.

$0.75/5 = $0.15

Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.

$0.15 x 7 = $1.05

Answer:

2

Step-by-step explanation:

there needs to be qtr with 88 by 779900

Answer: D (bottom option)

Not Congruent

Step-by-step explanation:

Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15

Therefore, the answer is: k = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2 : 3

Step-by-step explanation:

Given :

Solving :

8 red cards have been removed from the pack.

So, now the ratio is :

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings

Answer:

BC = 6 units

Step-by-step explanation:

given that B is between A and C , then

AB + BC = AC ( substitute values )

3x + 4x - 2 = 12

7x - 2 = 12 ( add 2 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Then

BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6

Answer:

6

Step-by-step explanation:

from the question, since point B is between Ac

AC = AB + BC

12 = 3X+4X -2

3X+4X-2 = 12

7X = 12+2

7X = 14

dividing bothsides by 7

7X/7 = 14/7

X = 2

the length BC = 4X-2 = 4(2)-2 = 8-2= 6

length of BC = 6

Answer:

D. 12.

Step-by-step explanation:

As I is the centroid G is the midpoint of CE, so

2x + 5 = 5x - 4

5+4 = 5x - 2x

3x = 9

x = 3.

x + 5 =  2/3 * CH   (Properties of the centroid of a triangle).

So as x = 3

2/3 CH = 3 + 5

CH = 8 * 3/2

CH = 12.

The exponential function that gives the profit after x weeks is given by:

[tex]P(x) = 200(1.2)^x[/tex].

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Thus, the equation is given by:

[tex]A(x) = 200(1 + 0.2)^x[/tex]

[tex]A(x) = 200(1.2)^x[/tex]

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Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.