Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.

Plzzzzzz help

Answer:

6

Step-by-step explanation:

I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?

Step-by-step explanation:

the function is

x² - 10x + 9

the x value for the axis of symmetry of a quadratic equation is

ax² + bx + c

x = -b/(2a)

in our case

a = 1

b = -10

x = - -10/2 = 10/2 = 5

x=5 is the axis of symmetry.

for the vertex we need also the y :

y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16

the vertex is

(5, -16)

Answer:

it would equal 12x + 12

:)))

Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

Answer:

68.75

Step-by-step explanation:

x is the number we are looking for, so 32% of x is 22.

First, we have to find the number that is equivalent to 1% of x.

To do this we simply do 22/32 which is 0.6875.

Now we know that 1% of x is 0.6875, so we can find 100% of 0.6875 (0.6875*100) to find x.

x is 68.75

Answer:

66 minutes

Step-by-step explanation:

Method I -  proportion

x/44 = 9/6

multiply both sides by 44

x = 9 / 6 * 44

x = 66 minutes

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

Method II - rate

44/6 = 7.3333333 minutes / mile

9 * 7.3333333 = 66 minutes

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

There is 28.

7 ÷ 1/4 = 28

Answer:

About $3600

Step-by-step explanation:

10 x 12 =120 square feet - area of the first room

$400 / 120 =$3.33 - cost of carpet per square foot.

36 x 30 = 1080 square feet - the area of the second room

1080 x $3.33 = (about) $3600 cost of carpeting the second room.

9514 1404 393

Answer:

  6.  A

  7.  80°

  8.  20°

Step-by-step explanation:

It is helpful to read the question and identify the particular parts of the diagram it is asking about.

The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.

These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)

The only answer choice referencing SAS is the first one, choice A.

__

Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.

Angle TRM is congruent to angle MPT, so is 80°.

__

With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:

  ∠MQT = ∠NMQ + ∠QNM

  95° = 75° + ∠QNM

  20° = ∠QNM

From problem 6, we know that angle N is congruent to angle S, so, ...

  ∠TSR = ∠QNM = 20°

Answer

B) 6²

E) 36

Step-by-step explanation:

[tex]6^{7}[/tex] / [tex]6^5[/tex] = 6^(7-5) = 6²

6² = 36

Answer:

Step-by-step explanation:

The up sloping line rises one unit for every one unit increase of x

m = Δy/Δx = 1/1 = 1

Its y intercept is (0, 5)

y = mx + b

y = 1x + 5

y = x + 5

The down sloping line drops six units for every four unit increase of x

m = Δy/Δx = -6/4 = -1.5

Its y intercept is (0, -5)

y = mx + b

y = -1.5x + (-5)

y = -1.5x - 5

we can verify the common intersection point by entering x = -4 into each equation

y = -4 + 5

y = 1

y = -1.5(-4) - 5

y = 6 - 5

y = 1

Answer:

2

Step-by-step explanation:

[(4^5/4•4^1/4)/4^1/2]^1/2

= [(4^(5/4) • 4^(1/4))/4^(1/2)]^1/2

= [(4^(3/2))/4^(1/2)]^1/2

= 4^(1/2)

= sqrt(4)

= 2

Answer:

Step-by-step explanation:

Answer: 2.15

Step-by-step explanation:

2 stands for the hours and 15 stands for the minutes.

Follow the steps mentioned below to write 0.63 as a fraction.

Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.

Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102

Step 3: Express the fraction in simplified form.

So, 0.63 as a fraction is,

0.63 = 63/100

Answer:

x²+9x+18

Step-by-step explanation:

Answer:

C) 1 tablet a day

Step-by-step explanation:

[tex] \huge { \bf༆ \: \bf{Answer } \: ༄ \: }[/tex]

Slope (m) of the line is : -

[tex]꧁ \:\large \frak{Eternal \: Being } \: ꧂[/tex]

Answer:

Hi

Step-by-step explanation:

Why u do dis

Answer:

if you want to but sure it is a good pfp

Step-by-step explanation:

Answer:

(0,0) and (7,3) and (14,6) and (-7,-3)

Just graph it.

Answer:

the correct answer is (-8,-2) and (6,4)

Step-by-step explanation:

hope this helps

Answer:

200 apple yet to go byhfhhf

Answer:

8 units

Step-by-step explanation:

x + 2 = 2x

2 = 2x - x

x = 2

uW = 2(2+2) = 8

Answer:

VW = 4

Step-by-step explanation:

Since V is the midpoint of line UW, we can say that the measure of UV is equal to VW (see def. of midpoint). Thus, we can generate the equation using the statements provided, leading us to this equation: x+2 = 2x. We can then subtract x on both sides, leading us to 2 = x, or x = 2.

We were given that VW = 2x, thus the measure of VW is equal to 2(2) or 4.

(BONUS: since we know that VW ≅ UV, then the measure of UV is also equal to 4, which when applied to the formula for UV (x+2) we get the equation for UV, x+2=4. This is a way to prove that x=2, as 2+2=4. We can also use this knowledge to find the total length of this line segment, which would be 8, as 4+4=8)

Answer C

Step-by-step explanation:

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

 +21  +21

6x=24

/6    /6

x=4

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.

We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.

Recall the definition of function inverse:

f(f^(-1)(x)) = x

Then for this function, we have

3 (f^(-1)(x) - 4)² + 5 = x

3 (f^(-1)(x) - 4)² = x - 5

(f^(-1)(x) - 4)² = (x - 5)/3

√((f^(-1)(x) - 4)²)= √((x - 5)/3)

For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with

f^(-1)(x) - 4 = √((x - 5)/3)

and hence the inverse

f^(-1)(x) = √((x - 5)/3) + 4

Answer:

The least number of packages of caps and shirts that will need to be ordered would be 9 Boxes of shirts and 15 boxes of hats .

Step-by-step explanation:

9(boxes) x 5(shirts) = 45

45(members) divided by 3(hats) = 15(boxes)

Answer:

Step-by-step explanation:

0.0000015

Answer:

(3)

Distance the train can travel=252km

Distance the train can travel in 1 hour=252÷42=6km

The time needed to cover 350km= 350÷6=58.4 hours.

(4)

The cost of 1 articles=$1.95

The cost of 15 articles= 15(1.95)=$29.25

(5)

Cost of 25 articles= 43.75

Cost of 1 article= 43.75/25=1.75

(6)

Liters of petrol needed when a car travels 240km=20litre

liters of petrol needed when a car travels 600km= 20/240 x600

20/24x60

20/4x10

5x10=50liter