how many terms does 3x + 5y - 17 - 2y + x have?

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

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

(b)

[tex]\frac{x+2}{3}[/tex] - [tex]\frac{2}{15}[/tex] = [tex]\frac{x-2}{5}[/tex] ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

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

(c) Assuming lg means log then using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

Answer:

B if its right i better get brainly list or a follow on ig

Step-by-step explanation:

1nspired_jay

Answer:

Correct answer is A

Step-by-step explanation:

When solving the inital problem you get 1405

Solved problems:

A: 1405

B: 1466

C: 3145

D: 3410

Therefore the correct answer is A

Answer:

2 people left more than 15%.

Step-by-step explanation:

2

57

65

566

77788

66777

66788

67899

6789

78899

789999

88889

8888888

788889

888888999999999

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.

In 200 eggs cracked =6

in 1 egg cracked =[tex]\dfrac{6}{200}[/tex]

According to the question,

If the store has 3,000 eggs for sale, how many can expect to be cracked.

In 3000 eggs cracked=[tex]\dfrac{6}{200}×3000[/tex]

If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked

If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.

A proportion is an equation in which two ratios are set equal to each other.

For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

Given that :

In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.

In 200 eggs cracked = 6 / 200 in 1 egg cracked

According to the question,

If the store has 3,000 eggs for sale, how many can expect to be cracked.

In 3000 eggs cracked = 6 / 200 x 3000

= 90 eggs

Hence, If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.

Learned more about Proportion, click;

https://brainly.com/question/30657439

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Answer:

Step-by-step explanation:

i think you have to multiply then divide

Answer:

V=56.5

Step-by-step explanation:

Formula for finding volume of a cylinder is  V=pi r^2h, substitute h for the height and r for radius. V=pi 3^2 2

Answer: 32 ft.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 feet per minute times 8 minutes equals 32

Answer:

45

Step-by-step explanation:

Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.

2×15= 30

3x15= 45

Answer:

b. 4ft

Step-by-step explanation:

thank you for the points, have an amazing day! :)

Answer:

C.

Step-by-step explanation:

We need to use the Pythagorean theorem to complete this problem. We are given the hypotenuse and the base of the triangle in the middle. The hypotenuse is 5 and the base is 3.[tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]a^{2}[/tex] is what we will complete.

[tex]5^{2} +3^{2} = a^{2}[/tex]

[tex]25 + 9 = 34[/tex]

[tex]34 = a^{2}[/tex]

[tex]\sqrt{34} =a[/tex]

Therefore, the answer is C.

Answer:

Answer:

discovery of jupiter's mons which did not orbit earth

Step-by-step explanation:

Answer:

El comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón

Step-by-step explanation:

Tenemos que encontrar el volumen de la caja.

Se nos dice en la pregunta que:

Coloca 20 a lo largo, 7 a lo ancho y 8 a la altura.

Volumen = Largo × Ancho × Alto

Largo = 20, Ancho = 7, Alto = 8

Volumen = 20 × 7 × 8

= 1120

También se nos dice que: el comerciante tiene 1108 cajas de zapatos y quiere guardarlas en el cajón de su camión.

Comparando esto con nuestro cálculo anterior, el comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón

Answer:

Step-by-step explanation:

x is one-half the value of its intercepted arc. Therefore, x is 110/2 which is 55. Second choice down is the one you want.

Answer:

35 is a reasonable amount

Step-by-step explanation:

Since all of the books cost around $7 and there are 5 books

when you multiply 7x5=35

Answer:

the arc length of minor arc AC is

[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]

Answer:

Attached below

Step-by-step explanation:

Given that A is a matrix with independent rows

A) Prove [tex]AA^{T}[/tex] is invertible

rank of A = number of rows of Matrix A

This shows that | A | ≠ 0  ( i.e. A has a full rank )

also  [tex]|A^{T} |[/tex] ≠ 0

and [tex]|AA^{T}|[/tex] = | A | [tex]|A^{T} |[/tex]   ≠ 0

Hence we can conclude that [tex]AA^{T}[/tex] is invertible

B) Prove that b is any vector in Col( A )

Attached below is the detailed solution

C) Mapping of Col ( A ) to Row ( A )

b is a non-zero vector hence AXr = 0 ( i.e. there is no solution )

also the kernel of the mapping will be Null

show that mapping preserves the operation

attached below is the detailed solution

Answer:

15x

Step-by-step explanation:

5x-20x+30x=15x

Answer:

3750

Step-by-step explanation:

Let the tank contain x gallons of water.

when pumping is done, then tank 1 contain x-2500 gallons

and tank 2 contain x+2500 gallons.

according to question,

5(x - 2500) = x + 2500

or, 5x -12500 =x+ 2500

or, 5x - x =2500+12500

or, 4x =15000

or, x= 3750

hence each tank contains 3750 gallons.

Answer: your picture is blocked btw

Step-by-step explanation:

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer:

B.6 points

Step-by-step explanation:

First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.

Answer:

c.) 7 units to the right

Step-by-step explanation:

A is 7 units away from A', B is 7 units away from B', and so on...

:)

Answer:

0.9412

Step-by-step explanation:

Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.

Answer:

22 + x ≤ 40

x ≤ 18 pounds

Step-by-step explanation:

Maximum weight = 40 pounds

Initial weight = 22 pounds

Let Maximum weight that can be added = x

Mathematically, this means :

Initial weight + additional weight ≤ 40

That is ;

22 + x ≤ 40

Additional weight, x :

x ≤ 40 - 22

x ≤ 18 pounds

Answer:

I’m not sure but I need this too!!

Step-by-step explanation:

Answer:

A. contract

Step-by-step explanation:

Answer:

12.5% of the day

Step-by-step explanation:

There are 24 hours in 1 day

3/24 = 1/8

.125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

You can change it to multiplication then solve

(2/6)*(3/2)=3/6=1/2

Step-by-step explanation:

You mean

╭☞2/6/2/3?

[tex]╭☞ \sf \: \dfrac{2}{ \dfrac{6}{ \dfrac{2}{3} } } \\ ╭☞ \sf \: \frac{2}{6} \times \frac{3}{2} \\ ╭☞ \sf \: \frac{3}{6} \\ ╭☞ \bf \: \frac{1}{2} [/tex]

Answer:

3.6 cm

Step-by-step explanation:

Note that:

Area = 1/2 x perimeter x apothem.

To find the Apothem, the formula =

Area ÷ (1/2 × Perimeter)

Area = 100.8cm²

Perimeter = 56 cm

Hence,

Apothem =

100.8 cm² ÷ (1/2 × 56 cm)

= 100.8cm² ÷ 28cm

= 3.6 cm

Therefore, the Length of the apothem is 3.6 cm