Solve for x in the equation

Answer:

+ 25

Step-by-step explanation:

b² + 10b

using the method of completing the square

add ( half the coefficient of the b- term)²

b² + 2(5)b + 25

= (b + 5)² ← a perfect square

There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

Answer:

[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]

[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]

---------- HappY LearninG <3 ------

Answer:

the answer is 34

Step-by-step explanation:

see the image

Answer:

9 / 4

Step-by-step explanation:

The slope of line V can be found using the formula for slope: (y2 - y1) / (x2 - x1).

(y2 - y1) / (x2 - x1)

(13 - 9)  / (1 - 10)

(4) / (-9)

Two slopes are perpendicular when the values are reciprocals. The slope of line V is 4 / (-9). The reciprocal of this is: 9 / 4.

The value of arc ST in the circle with center at point V is 125 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

mSU = 2 * ∠STU (angle at center is twice angle at circumference)

21x + 8 = 2(13x - 6)

x = 4

mSU = 21(4) + 8 = 92°

mSU + mUT + mST = 360° (angle in a circle)

92 + 143 + mST = 360

mST = 125°

The value of arc ST in the circle with center at point V is 125 degrees.

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Answer:

Hello your answer is either A. B. C. OR D.

Step-by-step explanation:

This is correct cus it cant be wrong
also my other acc
is brokededed =(

Answer:

it could be one of those answers

Step-by-step explanation:

:P

Nuggets~

Answer:

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:

Step-by-step explanation:

Answer:

1152$

Step-by-step explanation:

b1 = 7/8 C

b2 = 5/6 b1 = 35/ 48 C

7/8 C + 35/48 C = C + 696

42/48 C + 35/48 C = 48/48 C + 696 * 48/48

(42 + 35 - 48 ) C = 696 * 48

29 C = 33408

C =1152.

Answer:

See below

Step-by-step explanation:

(a)

(b)

(c)

The expressions which represents the slope of a tangent to the curve [tex]y=\frac{1}{x+1}[/tex] at any point (x, y) are:

                                ​[tex]f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}[/tex]

Mathematically, the slope of a tangent line to the curve is given by this equation:

[tex]f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}[/tex]

Given the function:

[tex]f(x)=y=\frac{1}{x+1}[/tex]

When (x + h), we have:

[tex]f(x+h)=y=\frac{1}{x+h+1}[/tex]

Next, we would find the derivative of f(x):

[tex]f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}[/tex]

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From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

Answer:

180cm cubed (the tiny three symbol)

Step-by-step explanation:

4 x 5 x 9

(4 x 5) x9

20 x 9

=180cm cubed

Answer:

Length = 14 and width = 7 cm,

Step-by-step explanation:

Let the width be x cm then the length is 2x cm

2x + 2(2x) = 42

6x = 42

x = 7

Length = 14 and width = 7.

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that the events are as follows:

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]

[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]

Which means that option a is correct.

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Answer:

Step-by-step explanation:

103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more

The students will colour the 1/8th part of the sheet given to them by their teacher.

The fraction is defined as the division of the whole part into an equal number of parts.

Given that:-

Now the sheet student have =  1 / 2

Students will colour 1/4th of the sheet they have = ( 1/2  x  1/4 )

= 1 / 8

Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.

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The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.

Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .

JK = √[(3−(−2))² + (7−3)²]

JK = √41

JK ≈ 6.4 units

KL = √[(3−6)² + (7−5)²]

KL = √13

KL ≈ 3.6 units

LM = √(1−6)² +(1−5)²]

LM = √41

LM ≈ 6.4 units

JM = √(1−(−2))² + (1−3)²]

JM = √13

JM ≈ 3.6 units

Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.

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Answer: 4 books

Step-by-step explanation:

x = minimum number of book

Leslee

= 3x (bought 3 times the minimum)

Denise

= x + 7 (bought 7 more than the minimum)

Together

= (3x) + (x + 7)

(3x) + (x + 7) = 23 (books they bought together)

3x + x + 7 = 23

3x + x = 23 - 7 (isolate the like variables together)

4x = 16 (divide both sides by 4)

x = 4

4 is the minimum number of books

To check:

3(4) + (4+7)

12 + 11 = 23

Answer:

Step-by-step explanation:

Answer: The answers are:  -1,  1, (2, 2), (2, 2), & perpendicular and share the same point.

Step-by-step explanation: Trust Me! Answer is correct in Edge.

Good Luck! :)

Answer: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)

a. (4/8 - 1/8)/(4/2 - 1/2)

3/8 / 3/2

3/8 x 2/3 = 2/8 = 1/4

y - 1/8 = 1/4(x - 1/2)

y - 1/8 = 1/4x - 1/8

y = 1/4x

b. (1400 - 1200)/(1000 - 500)

     200/500 = 2/5

y -  1200 = 2/5(x - 500)

y - 1200 = 2/5x - 200

y = 2/5x + 1000

c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95

 y - 13.95 = 13.95(x - 1)

y - 13.95 = 13.95x - 13.95

y = 13.95x

d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156

    y = .16(x - 0)

y = .16x

or y = .156x

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[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]

          ✳︎ 5-3x=-10. what is x?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

 ➪ First, subtract 5 on both sides:-

-3x=-10-5

 ❒ Which simplifies to:-

 ✩ -3x=-15

Divide by -3 on both sides:-

   ✩  x=5

So we conclude that the value of x is 5.

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

The median of the data set is 10.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency.

Data set = 8, 8, 9, 10, 12, 12, 13

Median = 10

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          What is the median of this dataset?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

❖ First, arrange the data in the data set from least to greatest:-

[tex]\textsc{12, 8, 9, 12, 10, 13, 8}\mapsto\textit{8, 8, 9, 10, 12, 12, 13}[/tex]

Now, the median is the number in the middle, or

[tex]\textit{10}[/tex]

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a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]

b) The arrangement of the 4 out of 9 paintings will be

[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

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Answer:

[tex] \frac{5}{12} [/tex]

Hope it helps............