solve for x. -5 + 5x = -(1 - 6x)

Answer:

y = - (x - 3)² + 15

Step-by-step explanation:

using the method of completing the square

y = x² + 6x + 6 ← factor out - 1 from the first 2 terms

y = - (x² - 6x) + 6

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = - (x² + 2(- 3)x + 9 - 9) + 6

  = - (x - 3)² + 9 + 6

  = - (x - 3)² + 15

Answer:

150

Step-by-step explanation:

$600/$4 =150

=150 installments

Answer:

65%

Step-by-step explanation:

4 + 3 = 7

7/20 = 35/100

100 - 35 = 65

I may be wrong but yknow

Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

To get more about exponents visit:

https://brainly.com/question/819893

Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

Answer:

The total is $105

Step-by-step explanation:

To get a percentage of a number first convert the percentage to a regular number with a decimal

30.0% would be 0.3 because you move the decimal two spots to the left

you then multiple your new number 0.3 with the original price to get 45

because it is a discount it means we will reduce the price or subtract from it

150 - 45 = 105

I hope this helps

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

Answer:

The answer is 34

Step-by-step explanation:

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]

Answer: 578

Step-by-step explanation:

12 x 7 = 84

13 + 8 + 4 + 10 = 25

25 x 14 = 350

4 x 10 = 40

8 x 13 = 104

84 + 350 + 40 + 104 = 578

Answer:

$464

Step-by-step explanation:

The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

Learn more about systematic elimination here:

brainly.com/question/29847467

#SPJ4

Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

Answer: D

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

(-2/3)^4

expand...

-2/3*-2/3*-2/3*-2/3

multiply

numerator: -2*-2*-2*-2=16

denominator: 3*3*3*3=81

Thus the fraction is 16/81

Hope this helps!!!

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~

Answer:

16

Step-by-step explanation:

You're doing a subtraction problem between (x+5) and (2x+3)

(x+5) - (2x+3) =

**You need to solve for x first then plug it in to find the answer.***

(I had to break the parentheses because that is the only way to solve)

-x +8

x= -8

-8 + 5 - (-16+3)

-3 + 16 + 3

13 + 3 = 16

Answer:

-x+2

Step-by-step explanation:

(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

Answer: 3570$

Step-by-step explanation:

5 x 6 = 30

30 x 119 = 3570

Answer:

84

Step-by-step explanation:

asked siri

Answer:

84

Step-by-step explanation:

take the percentage and turn it into a decimal so 75 becomes .75

multiply the decimal by the number

.75 x 112 = 84

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0

Answer:

A.

One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.

d(x) = y = 5x

d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.

B.

Now if he ran 10 miles a day, just substitute 10 for x.

d(10) = y = 5(10) = 50

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

Read more about reflection at:

https://brainly.com/question/4289712

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]