Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.In which step did Susu first make an error?

Step 1
Step 2
Step 3
Step 4
Susu is solving the quadratic equation 4x2 – 8x – - 1

Answers

Answer 1
Answer: In the question "Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error?" Susu made her first error in step 2, when she factored out 4 she is supposed to divide 8x by 4. Thus the correct expression for step 2 should be 4(x^2 - 2x) = 13 To complete the solution for the equation: 4(x^2 - 2x + 1) = 13 + 4(1) 4(x - 1)^2 = 13 + 4 4(x - 1)^2 = 17 (x - 1)^2 = 17/4 x - 1 = +/- sqrt(17/4) x = 1 +/- sqrt(17) / 2
Answer 2
Answer:

Answer:B

Step-by-step explanation:


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If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).A. (f – g)(x) = –5x + 3x – 2B. (f – g)(x) = 5x – 3x + 2C. (f – g)(x) = –2x – 2D. (f – g)(x) = –5x – 3x – 6
Solve by the linear combination method (with or without multiplication) 2x+3y= -17, 5x+2y = -4

The Hamilton Brush Company issued 2,500 shares of common stock worth $100,000.00 total. What is the par value of each share? A. $40.00 B. $250.00 C. $400.00 D. $25.00

Answers

Given:
2,500 shares of common stock
$100,000.00 total value

Find the par value of each share.

Par value is the value written on each certificate of stock.

We get the par value by dividing the total value of the common stock by the total number of shares of common stock.

$100,000 ÷ 2500 shares = $40 per share

The par value of each share is $40.00

The par value of each share is calculated as $40 which is option A

What is the par value of each share?

To find the par value of each share, we divide the total value by the number of shares. In this case, the Hamilton Brush Company issued 2,500 shares worth $100,000.00 in total.

$100,000.00 divided by 2,500 shares gives us $40.00.

Mathematically;

1000000 / 2500 = 40

Therefore, the par value of each share is $40.00.

The answer to this problem is option A

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Whats the answered need help

Answers

Answer:

all true

Step-by-step explanation:

The united states government produced about 10.25 billion pennies one year. how is 10.25 written in scientific notation?

that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know

Answers

1) 10.25 x 10^9 in scientific notation is 1.025 x 10^10

2) Now you have to subtract 10.25x10^9 - 3.0x10^7

To make that you have to put both numbers with the same power of ten.

1025x10^7 - 3.0x10^7 = 1022x10^7 more pennies than half-dollars.

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it take for 3,000 bacteria to reduce to 375? It takes minutes for the number of bacteria to reduce from 3,000 to 375.

Answers

This is a geometric progression:
Tn=a₁r^(n-1)
 

In this case:
Tn=a₁r^n

Because:
T₁  corresponds to 0 minutes  ⇒T₁=3000(1/2)⁰=3000
T₂  corresponds to 1 minute  ⇒ T²=3000(1/2)¹=1500 ...

Tn=375
a₁=3000
r=1/2
n=number of minutes
Therefore:

375=3000*(1/2)^n
375/3000=(1/2)^n
0.125=(1/2)^n
Ln 0.125=ln [(1/2)^n]
Ln 0.125=n Ln(1/2)
Ln 0.125=n [Ln1-Ln2]
Ln 0.125=n[0-Ln 2]
n=Ln 0.125 / (-Ln2)
n=3


answer: 3 minutes.

Find a • b.

a = 4i + 3j, b = -4i + 4j

Answers

The required dotproduct of the given vector is given as -4.

Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.

What is dot products of vector?

The dot × of twovectors is described as the sum of the products of the relevant directionalvector.

Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4     (since i.j or j.i for dot product gives zero.)

Thus, the required dotproduct of the given vector is given as -4.

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Hello,

I suppose a and b are vectors
and i and j unit's vectors

\vec{i}*\vec{i}=1\n \vec{j}*\vec{j}=1\n \vec{i}*\vec{j}=0\n
\vec{a}\ .\ \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\n =-16-3*4*0+4*4*0+12=-4

What is 40/3 as a mixed number?

Answers

The fractional-number "40/3" can be expressed as "13(1)/(3)" in the "mixed-number" form.

To write the fraction "40/3" as "mixed-number" representation, we first  determine the "fractional-part" and the "whole-number" part.

Dividing 40 by 3, we find that it is not evenly divisible. The quotient is 13, and the remainder is 1.

The whole number part is 13, indicating that there are 13 whole units. The fractional part is 1 out of 3, representing one-third of another unit.

Combining these, we can express 40/3 as the mixed number 13 1/3. It signifies 13 whole units and a fractional part of 1/3, indicating a value greater than 13 but less than 14.

Therefore, the required mixed-number is 13(1)/(3).

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You would see how many times 3 goes into 40 then put the extra over 3. 13 1/3