7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3

More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
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Answer:

Below in bold.

Step-by-step explanation:

9x^2 - 16

Comparing this with the standard form

ax^2 + bx + c

ac = 9*-16 = -144

b = 0

-12 and 12 multiply to get ac and add to get b.

Factored form is

(3x - 4)(3x + 4).

The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 9x² - 16

Now, We know that;

General form of quadratic equation is,

⇒ ax² + bx + c

Here, The quadratic equation is,

⇒ 9x² - 16

Hence, By comparing,

⇒ a = 9

⇒ b = 0

⇒ c = - 16

Thus, The value of ac is,

⇒ ac = 9 × - 16

        = - 144

And, The factored form is,

⇒ 9x² - 16

⇒ (3x)² - 4²

⇒ (3x - 4) (3x + 4)

Thus, The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

Learn more about the quadratic equation visit:

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Answer:

[tex] \boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7} [/tex]

Given:

[tex] \sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6 [/tex]

To find:

[tex] \sf (f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7 [/tex]

Answer:  [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]

Step-by-step explanation:

90° ≤ θ ≤ 180° means that it is in Quadrant II →   x is + ,  y is -

[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]

Answer:

Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Step-by-step explanation:

i hope this is what u are looking for

Answer:3/4

Step-by-step explanation:

1x3=3

Answer:

I used an online calculator and I got 0.75

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

Answer:

The number of men to number of women be 7 : 8 .

Step-by-step explanation:

Answer:

7:8

Step-by-step explanation:

Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3

Step-by-step explanation:

1.  there is no numbers to multiply together, so just add the a's and b's

2.3 stands alone. add the m's and n's together. getting m^2 and n^5

3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3

Lmk if it helps. :)

Answer:

6 + 8

Step-by-step explanation:

6-(-8)= 6+8

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

Answer:

5.8 is what I think it is. I also got 4.6 on another calculator.

Step-by-step explanation:

I did it on math-way.

Question: What is the Question?

Answer:

D

Step-by-step explanation:

f(x)=(3/5)x-10

f(5)=(3/5)(5)-10=

3-10=

-7

Hope this helps!

Answer:

0.62

Complete question:

What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?

Step-by-step explanation:

assuming,

A: Aya gets a coupon one day. P(A) = 0.15

B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85

Aya doesn't get a coupon in any of 6 days  = P(B)^6 = 0.85^6 = 0.38

The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:

1 - P(B)^6=  1 - 0.38 = 0.62

Answer:

Step-by-step explanation:

Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.

Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.

Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Answer:

Rise: 200.25

Descent 300.2

Minutes

Step-by-step explanation:

A)        We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)

For climb a = 200, b = 10 c = ?

200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2

c = about 200.25

For the descent: a = 300, b = 10

300²+10² = c²

90000 + 100 = c²

90100 = c²

c = about 300.2

B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.

10/600 is 1/60, so only a couple minutes difference.

Answer:

When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)

Here whe have the translation T(-2, 5)

a) if our pair is (2, 5) then:

T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)

b) if our pair is (-1, 7)

T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)

Answer:

So it will take the stone 1 (one) second to reach its maximum height.

Step-by-step explanation:

Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:

[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]

where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.

Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.

So it will take the stone 1 (one) second to reach its maximum height.

Answer:

  A

Step-by-step explanation:

Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)

She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given figure, we have triangles in which two angles and one side are equal.

∠A = ∠E = 65° (angle)

BA = ED (side)

∠A = ∠E = 30° (angle)

By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)

Thus, the correct answer is option A.

Learn more about congruent triangles here:

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Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's simplify the number which is all you can do .

[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]

= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]

Answer:

=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

Answer:

21

Step-by-step explanation:

f(x)= 2x^2-11

Let x= 4

f(4)= 2*4^2-11

    = 2 * 16 - 11

     = 32 -11

      21

Answer:

4,35

Step-by-step explanation:

4/7 = 20/35

Converting it into ratio form

4:7 = 20:35

The Extremes of this proportion are 4,35

While, the means of this proportion are 7, 20

Answer:

3

Step-by-step explanation:3x2=6

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]