If f(x) = 3x² + 1 and g(x) = 1 - X, what is the value of (f -9)(2)?

Answer:

B

Step-by-step explanation:

x² - 6x = 0

x² - 6x + (6/2)² = (6/2)²

x² - 6x + 9 = 9

(x - 3)² = 9

So B

Answer:

D+Q = 31

10D + 25Q = 595

10D + 10Q = 310

subtract to get

15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of  $13.6 million

profit = 5.6 / 100 *  $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

Answer:

$45,000 at 13% =  B-rated bond

$5,000 at 3% = CD

Step-by-step explanation:

Let us assume the x amount at 13% be 0.13x

And, y amount at 3% be 0.03x

Total interest = $6,000

The equation is

0.13x + 0.03x = $6,000 ................(1)

Now the total amount is $50,000

So

x + y = $50,000

y = $50,000 - x ................(2)

Now put the y value in the equation 1

So,

0.13x + 0.03 ($50,000 - x)  = $6,000

0.13x + $1,500 - 0.03x = $6,000

0.10x = $6,000 - $1,500

0.10x = $4,500

x = $4,500 ÷ 0.10

= $45,000 at 13%

now y value would be

= $50,000 - $45,000

= $5,000 at 3%

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

t=10709.69810694

Hope this helps! :)

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

3846

multiply it brp bb so multiply

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

14

Step-by-step explanation:

a=1

b=2

d=2

c=10

K+L = 10¹+2² = 10+4 = 14

The equation given is:

We are asked what's the value of x when y = 36, then, we replace y = 6 in the equation and solve for x:

The value of x is 9, when y = 6

Answer:

0.621%

Step-by-step explanation:

First of all let's find the z-score which is given by the formula;

z = (x' - μ)/σ

We are given;

Mean; μ = 80 g

Standard deviation; σ = 2 g

Test score; x' = 85 g

Thus;

z = (85 - 80)/2

z = 5/2

z = 2.5

From the z-distribution table attached, at z = 2.5, the probability is:

P(z > 2.5) = 1 - 0.99379 = 0.00621 or 0.621%

Answer and Step-by-step explanation:

8. HL theorem - Has a right angle and the legs.

9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.

10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.

11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.

#teamtrees #WAP (Water And Plant)

8. RHS congruence rule

9. SAS congruence rule

10. SSS congruence rule

11. SAS congruence rule

Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

We need to match each general form of a function to the name.

• In a linear function, the exponent of the variable x is 1. Thus, it has the general form:

where m and b are constants.

• In a quadratic function, there is at least one term for which x has exponent 2. Thus, it has the general form:

where a, b, and c are constants, and a ≠ 0.

• In an exponential function, x is the exponent of a constant. Thus, its general form is:

where a, b, and c are constants.

Answer:

Step-by-step explanation:

1. 22+5x+3=90

2.3+5x+82=180

3. 89=6x+5

4. 4x+3= 43

you can solve them luv

Answer:

24

Step-by-step explanation:

i counted the square me good at counting

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

5.5 or 5 1/2

Step-by-step explanation:

The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

Substitute the known values in the above equation, so, we have the following representation

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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Answer:

dmytjlzjtzlyxluxuclliflfuludld7ulydyddy

Answer:

c= 70?

a= 66? I think im not too sure

Answer:

2.02× 10²= 202

I hope it help

Answer:

  100°

Step-by-step explanation:

You want the measure of angle θ = ∠BDC in the figure of isosceles triangle ABC with vertex angle A=40° and interior point D such that AD≅BC and ∠BAD = 10°.

We can define the midpoint of BC as the origin of a coordinate plane, and points B(-1, 0) and C(1, 0). Then point A will be located at A(0, tan(70°)).

Point D will be located at 2∠-100° from A, since AD=BC=2 units, and D is located 10° west of south relative to A.

This locates point D on the coordinate grid.

To find the angle between DC and DB, we can divide vector DC by vector DB. The angle of the quotient is the angle between those vectors. The calculator result in the second attachment shows the angle is 100°, in agreement with the geometry program's result in the first attachment.

  θ = 100°

Given our assignment of a length of 2 to AD and BC, we know the lengths of AC and AB are sec(70°) ≈ 2.9238. This lets us use the law of cosines to find lengths DC and DB:

  CD = √(2.9238² +2² -2·2.9238·2·cos(30°)) ≈ 1.5557

  DB = √(2.9238² +2² -2·2.9238·2·cos(10°)) ≈ 1.0154

Then the law of cosines can be used again to find θ.

  θ = arccos((1.5557² +1.0154² -2²)/(2·1.5557·1.1054))

  θ = 100°

The third attachment shows a geometrical solution to finding the angle. We define O as the center of the circle. Angle BAC is an inscribed angle of 40°, so angle BOC will be double that value, 80°.

Locating point G so that AOG is 80° makes segment AG the same length as segments AB and AD. AO bisects angle A, so angle GAD is 10° less than angle GAO, making ∆GAD~∆ACG and locating point D on segment AG. While point D can be shown to lie on segment AG using angle sums, it takes Law of Sines and Law of Cosines relations to demonstrate that point D lies on segment BO, which it does.

The angle of interest, BDC, is an external angle to triangle COD. As such, its measure is the sum of the remote interior angles of that triangle:

  ∠BDC = 80° +20°

  ∠BDC = 100°

Answer: cos A=4/5

Step-by-step explanation:

soh, cah, toa

Adjacent A is 32, hypotenuse is 40

32/40 simplifies to 4/5

Answer:

Quadrant 11

Step-by-step explanation:

Quadrant 2 mark as brainllest

The average rate of change of the function f(x) = 4 · x² - 7 for the interval [1, b] is m = - 4 · (b + 1).

Graphically speaking, the average rate of change associated to a function is represented by a secant line formula:

m = [f(b) - f(1)] / (b - 1)

If we know that f(x) = 4 · x² - 7, then the average rate of change is:

m = [4 · b² - 7 - 4 · 1² + 7] / (1 - b)

m = 4 · (b² - 1) / (1 - b)

m = - 4 · (b² - 1) / (b - 1)

m = - 4 · (b + 1)

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Answer:

Domain: A, \([2, \infty)\)

Range: \((-\infty, \infty)\)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.