Fiona is completing the square to solve the polynomial
equation.
What should be her first step?
x2 - 4x + 1 = 0
isolating the constant 1
O adding 4 to both sides of the equation
O isolating the second term, 4x
adding 1 to both sides of the equation

Answer:

should be "d" though i haven't calculated it all exactly

Step-by-step explanation:

A : 85

B : 83

C : 82

D : 81

Answer:

yes it is d

believe me

i calculated

Answer:

Here's how to solve it.

Step-by-step explanation:

Okay,

from what I understand she has 20 train cars total.

She uses 5 for each train.

So to solve you use simple division.

20 / 5 = 4

To check your answer substitute 4 in the equation so 4 × 5 does equal 20.

So it would be 4.

Reasoning: Complementary angles always add to 90 degrees.

If angle 2 was x, then x+83 = 90 solves to x = 7

The measure of m∠2 is 7° due to the pair of angles being complementary.

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Adjacent angles: Adjacent angles are the type of supplementary angles. Adjacent angles have a common side and vertex, for example, a corner point. Their points do not overlap in any way. In other terms, adjacent angles are pairs of two angles next to each other.

We have been given that the pair of angles as

m∠1 = 83°  and m∠2 = x

Here, the pairing of angles sums up to 90° then they are called complementary angles.

So x + 83 = 90°

⇒ x = 90° - 83°

⇒ x = 7°

Therefore, the value of m∠2 is 7°.

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Answer: C.) $1,935.12

Step-by-step explanation:

Using the deferred annuity calculator :

Principal amount = 1140

Interest (r) = 26.78% = 0.2678

Period of payment = 2 years, compounded monthly, n = 24

Using the deferred annuity calculator ; Total balance = $1936.24

Hence, the closest cost in the option is $1,935.12

Answer:

B

Step-by-step explanation:

Answer:

1.2 x 10^4 = 12,000

4.5 x 10^-3 = 4.5 x 1/(10^3) = 4.5/1000 = 0.0045

3.8 x 10^3 = 3,000

7.5 x 10^3 = 7,000

largest is 1.2 x 10^4

Hope this helps!!

Step-by-step explanation:

Answer:

No solution.

Step-by-step explanation:

22x+52=22x+89  Get rid of the variable first (this makes solving easier).

-22x      -22x

52=89                   The answer comes out as 52=89, but 52 is not equal to 89.

When this happens, there is no solution.

Hope this helps!! Have a great day :D

Answer:

In Fraction, it is 76 1/25

In decimal, it is 76.04

Step-by-step explanation:

Answer:

GEMDAS rate. (Abbreviation) A mnemonic used to  the order of operations in math problems; Grouping (such as parentheses), Exponents, Multiplication, Division, Addition, Subtraction.

Step-by-step explanation:

its pemdas just with a different name!!

do you still need help?

The third pattern because you can divide 12 by the number of shapes in the sequence and start counting from the remainder.

In this case choice C has 5 shapes. 12/5 is 2, with a remainder of 2.

The second term in choice C is Circle, so choice C is the answer.

Of course, you can also list them all out.

If there is no remainder when you divide then the 12th term is the last term in the sequence.

Answer:

yes

Step-by-step explanation:

Answer:

(0,-16)

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

50 hot dogs per 12 minutes

60 minutes per 1 hour

60 minutes divided by 12 minutes = 5

50*5 = 250

Answer:

Step-by-step explanation:

[tex]f(x)=-4x+7[/tex]

To find f(1) , substitute the value of x that's 1 into f(x), that is for every x in f (x) replace it with 1

We have

[tex]f(1) = - 4(1) + 7 \\ = - 4 + 7 \\ = 3 \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex]f(1) = 3 [/tex]

Hope this helps you

Answer:

x=-16

Step-by-step explanation:

Let the number be x.

11 less than three times a number would be represented as 3x - 11.

75 less than the product of -1 and the number would be represented as -x - 75

Those two expressions are the same.

3x - 11 = -x - 75

3x        = -x - 64

4x        =     -64

x = -16

Hope this helps!!  :)

The line whose absolute value of the slope is least will be the slope which is close to being horizontal. Hence, line C is the answer.

Therefore, the line with least absolute value would be the closest to being horizontal, hence, line C with an absolute value of 2.

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Answer:

what's x?

Step-by-step explanation:

substitute whatever you have for x in the equation. I was taught f(x) is no different from y=.

Answer:

D: 8/6

Step-by-step explanation:

Slope = y 2 - y 1

x2 - x1

= 8 - 0

6 - 0

=8

6

Answer: D. 8/6

Step-by-step explanation:

To solve this, we can use the slope formula, which is  

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is [tex]\frac{rise}{run}[/tex]

Plugging in the values of the two points, we get:

[tex]\frac{8 - 0}{6 - 0} = \frac{8}{6} = \frac{4}{3}[/tex]

In your case though, it is D. 8/6

Answer:

5 inches since you can divide 15 and 20 by 5

Answer:

yea im following this guy and just double checked yea 5

Step-by-step explanation:

Step-by-step explanation:

5

Answer:

10 B

Step-by-step explanation:

you would just start with 4 and each time count down.which gives you 10

Answer:

y = 4x - 19

Step-by-step explanation:

Find the y-intercept

y = mx + b

-11 = 4 * -2 + b

-11 = -8 + b

-19 = b

Now, rewrite the equation

y = 4x - 19

Please let me know if I got something wrong!

Answer:

35 students total

Step-by-step explanation:

if there is 20 girls and 3 boys for every 4 girls, all you need to do is 20/4=5, then do 5*3=15, there is 15 boys and 20 girls, so do 15+20=35, or at least i think

Write both sides as powers of 16:

[tex]\log_4(2-x)=\log_{16}(13-4x) \implies 16^{\log_4(2-x)}=16^{\log_{16}(13-4x)}[/tex]

Since 16 = 4², we can rearrange the left side to get

[tex]16^{\log_4(2-x)}=(4^2)^{\log_4(2-x)}=4^{2\log_4(2-x)}=4^{\log_4(2-x)^2}[/tex]

Then, recalling that [tex]b^{\log_ba}=a[/tex], we have

[tex]4^{\log_4(2-x)^2}=16^{\log_{16}(13-4x)}\implies(2-x)^2=13-4x[/tex]

Now solve for x :

[tex](2-x)^2=13-4x[/tex]

[tex]4-4x+x^2=13-4x[/tex]

[tex]x^2-9=0[/tex]

[tex](x+3)(x-3)=0[/tex]

[tex]\implies x=-3\text{ or }x=3[/tex]

Notice that if x = 3, then log₄(2 - x) = log₄(-1) is undefined, so we throw out this solution. We don't run into this problem with x = -3, so that's the only (real) solution.

Answer:

R(x) is  your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 miles

Answer: 370 feet below sea level

Step-by-step explanation: The submarine was 620 feet below and ascend means go up so you add 250 to -620 which would be 370.

Answer:

100 feet

Step-by-step explanation:

620 - 250

Answer:

70.38

Step-by-step exp7lanation:

$98.45 − $10.63 + $2.82 − $20.26 =  70.38

Answer:70.38

Step-by-step explanation:

Answer:

Step-by-step explanation:

100800

1008 can s can be produced in a 7 hour day.

Just divide 1 second by 1000 which is 0.001 secs.It can also be called as 1 millisecond.

According to the given question aluminium, inc. produces cams at a rate of  0.04 per hundredth of a second. this can be numerically expressed as

0.04 cans produced in 0.01 seconds.

We know 7 hour is = (7×3600) seconds which is = 25200 seconds.

∴ In 7 hours aluminum, inc. can produce (25200 × 0.04) which is

= 1008 cans.

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Answer:

Attached image

Step-by-step explanation:

The first step is to line it up in the Pythagorean theorem, then you want to move the [tex]6^{2}[/tex] to the other side of the equation via subtraction from both sides in order to isolate the [tex]x^2[/tex]. After that, you'll end up with [tex]x^{2} =64[/tex] then you'll want to square root both sides and end with [tex]x=8[/tex].