Explain how to solve the equation: b-7 =12

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

So for this, we will be applying the difference of squares rule, which is [tex]x^2-y^2=(x+y)(x-y)[/tex] . In this case:

[tex]\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)[/tex]

In short, your answer is A. (2x + 5)(2x - 5).

Answer:

y= 5x-3

Step-by-step explanation:

We have an intercept of -3 and a slope of 5

We can use the slope intercept form of the equation

y= mx+b where m is the slope and b is the y intercept

Substituting in the known values.

y= 5x-3

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

Answer:

A central angle of 180 degrees corresponds to half of the unit circle, and the circumference of the unit circle is 2π units. So, the distance traveled along the unit circle from the point (1, 0) is half of the circumference, which is 1/2 * 2π = π units. Thus, the answer is 3.14 units (approximately).

Answer:

r = -189

Step-by-step explanation:

-13 - 8 = r/9

- 21 = r/9

r = 9 * -21

r = -189

Answer:

r = -189

Step-by-step explanation:

-13= r/9 +8

To solve this equation, we will start by subtracting 8 from each side

-13-8 = r/9 +8-8

-21 = r/9

Multiply each side by 9 to isolate r

-21*9 = r

-189 =r

Answer: Correct answer is 1st option , 12.3

Step-by-step explanation:

We can find the value of x by calculating the tangent of the angle 39.

We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.

So, tan 39 = 10/x

Again, we know that tan 39 = .81

So, .81 = 10/ x

or, x = 10/.81

or, x = 12.34

So value of x to the nearest tenth = 12.3

Hope thsi helps

Thank you

Answer:4(5) + 5(4)=40 ...3(5)=15

So 20+20=40 ...15=15

I Say Answer Is 3.   X=5, Y=4

Step-by-step explanation:

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]

Now we subtract 13/10 from 2 meters

[tex]2 - \frac{13}{10}[/tex]

To subtract , make the denominator same

[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]

7/10 meter is the remaining piece of ribbon

After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.

Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.

Therefore, the remaining piece of ribbon is 0.7 meters long.

Answer:

5,41%

Step-by-step explanation:

Remark

It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.

Givens

Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.

Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.

Solution

The difference = 63.25 - 60 = 3.25

The % increase = (3.25/60)*100 = 5.41%

[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]

[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]

Final answer:

0.00356.

Explanation:

The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.

So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.

Answer: 5/9 of a mile

Step-by-step explanation:

2/6 + 2/9

3/9 + 2/9

5/9

Final answer:

The median is found by arranging a data set in ascending order and locating the middle value for an odd number of values or averaging the two middle values for an even number. Quartiles divide the data into sections and are related to the median. The median offers a measure of the center that is not skewed by outliers.

Explanation:

To find the median of a data set, start by arranging the data in ascending order. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, calculate the median by taking the average of the two middle values.

For example, for the ordered data set 3, 4, 8, 8, ... 44, 44, 47, which has 40 values, the median is between the 20th value (24) and the 21st value (24). In this case, since they are the same number, the median is 24. However, if the two numbers were different, you would add them together and divide by two to find the median.

When considering a data set like 1, 1, 2, 2, 4, 6, 6.8, 7.2, 8, 8.3, 9, 10, 10, 11.5, with an even number of values (14), the median is the average of the 7th and 8th values, in this case, (6.8+7.2)/2 = 7. The quartiles can also be determined: Q1 is the median of the lower half, and Q3 is the median of the upper half of the data set.

Measures of the center of the data, like mean, median, and mode, offer different ways to represent the data set's central tendency. The median is particularly useful in data sets with outliers, as it is not as affected by extreme values as the mean.

You can go at this in different ways. In the attached, we multiplied the number of pounds by the sale price per pound ($5.25/4.2). You can also figure the price per pound of each proposed purchase and compare with the sale price.

... sale price = $5.25/(4.2 lb) = $1.25/lb

(A) $7.60/(6 lb) = $1.25/lb (yes)

(B) $4.25/(3.4 lb) = $1.25/lb (yes)

(C) $4.20/(3.5 lb) = $1.20/lb (no)

(D) $8.70/(5.8 lb) = $1.50/lb (no)

(E) $2.50/(2 lb) = $1.25/lb (yes)

Options A (6 pounds for $7.50), B (3.4 pounds for $4.25), and E (2 pounds for $2.50) are proportional to the sale price as their unit prices match, whereas options C (3.5 pounds for $4.20) and D (5.8 pounds for $8.70) do not match the unit price and are thus not proportional.

To determine if the proportions are equivalent to the sale price of green beans, we need to calculate the unit price for each scenario and compare it to the unit price that Mrs. Reynolds paid during the sale. Mrs. Reynolds bought 4.2 pounds of green beans for $5.25. The unit price is found by dividing the total cost by the total weight in pounds:

Unit price = $5.25 / 4.2 pounds = $1.25 per pound.

Now, let's calculate the unit price for each of the given scenarios and see if they match the unit price Mrs. Reynolds paid:

Based on these calculations, options A, B, and E are proportional to the sale price Mrs. Reynolds paid, while options C and D are not.

Answer:

C. 4/7

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).

... 12/21 = 4·3/(7·3) = 4/7

The domain and range is all real numbers.

Answer:

D) Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

The domain is the input values, or the x values.

We can put in any x values for this function.

Domain : (-∞, ∞)

The range is the output values or the y values.

We can get any output values for this function

Range: (-∞, ∞)

Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

Answer:

Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

Answer:

27

Step-by-step explanation:

Choose two outputs that are 3 values apart and find their ratio:

... f(3)/f(0) = 216/8 = 27

Answer:

Option B is correct .i.e., 30 square centimeters

Step-by-step explanation:

We have to find area of ACDE.

From given figure ACDE is made up of two triangles ΔBCD &  ΔABE

So, Area of ACDE = Area of ΔBCD + Area of ΔABE

Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]

⇒ Area of ACDE =  [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]

                            = [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]

                            = [tex]6+2\times12[/tex]

                            = [tex]30\:cm^2[/tex]

Therefore, Option B is correct .i.e., 30 square centimeters

Answer:

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Step-by-step explanation:

We have a point a (0,20) and a point at (2 , 20.05)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (20.05-20)/(2-0)

   = .05/2

     =.025

One of the points (0,20) is the y intercept  since x=0

We can use the slope intercept form of the equation

y= mx+b

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Answer:

.

Step-by-step explanation:

16.0

The mnemonic SOH CAH TOA reminds you of the relationship ...

... Tan = Opposite/Adjacent

... tan(32°) = 10/AC

Multiply by AC and divide by tan(32°) to get ...

... AC = 10/tan(32°) ≈ 16.0033 ≈ 16.0

Assume x is a whole number. Then 2x+1 is a whole number, and 7(2x+1) is a whole number that is a multiple of 7.

13 is not a multiple of 7, so we have reached a contradiction, and our assumption must be false.

x cannot be a whole number.

Given zeros -4, -3, and 1, and a y-intercept of -11, the corresponding third-degree polynomial function can be formulated as y = (11/12)(x + 4)(x + 3)(x - 1).

To construct a third-degree polynomial function, we first need to define the polynomial based on its zeros. Given that the zeros are -4, -3, and 1, we can write the polynomial function in the form [y = a(x + 4)(x + 3)(x - 1)], where 'a' is the coefficient that affects the y-intercept. Because the y-intercept is -11, we set the value of y to -11 when x equals 0 to solve for 'a'. Thus the equation becomes [ -11 = a * 4 * 3 * -1], which simplifies to [a = -11/(-12) = 11/12]. Therefore, the polynomial function with the stated properties is [y = (11/12)(x + 4)(x + 3)(x - 1)] .

https://brainly.com/question/29181723

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The third-degree polynomial with zeros at -4, -3, and 1 and a y-intercept of -11 can be written as P(x) = 0.917(x+4)(x+3)(x-1).

To construct a third-degree polynomial with zeros at -4, -3, and 1, we write the factored form of a polynomial P(x), with the zeros plugged into the factors: P(x) = a(x+4)(x+3)(x-1). The term 'a' is a coefficient that we can find using the provided y-intercept of -11.

Because the y-intercept happens when x = 0, we substitute x = 0 and y = -11 into the polynomial: -11 =a(0+4)(0+3)(0-1). Solving for 'a' gives a = 11/12 or 0.917.

Thus, the resulting third-degree polynomial in lowest terms is P(x) = 0.917(x+4)(x+3)(x-1).

https://brainly.com/question/4280925

#SPJ2

Answer:

The integers are, 30 and 31

Step-by-step explanation:

Given the statement: Two consecutive integers have a sum of 61 .

Let x and x+ 1 are the two consecutive integers.

then;

as per the given condition we have;

[tex]x +(x+1) = 61[/tex]

Combine like terms;

[tex]2x+1 = 61[/tex]

Subtract 1 from both sides ;

[tex]2x + 1-1 = 61 -1[/tex]

Simplify:

2x = 60

Divide both sides by 2 we get;

x = 30

and

value of x+1 = 30+1 = 31

Therefore, the integers are, 30 and 31.

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

Answer:

[tex]13[/tex]

Step-by-step explanation:

The given expression is;

[tex]3x-2[/tex]

We want to evaluate this expression when [tex]x=5[/tex].

This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]

The expression will now be

[tex]=3(5)-2[/tex]

This will simplify to be

[tex]=15-2[/tex]

The final result is

[tex]=13[/tex]

The correct answer C.

Answer:

13

Step-by-step explanation:

To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.

Evaluate 3x - 2; x = 5

1. Substitute 5 in for x in the expression

3(5) - 2

2. Multiply

15 - 2

3. Subtract

13

Answer:

hello :

- 3π/4  = (-3×180°)/4 =  - 540°/4 = - 135°

Step-by-step explanation:

Answer: [tex]\bold{-\dfrac{3}{4}\pi}[/tex]

Step-by-step explanation:

Set up a proportion using π = 180°  →   [tex]\dfrac{\pi}{180} = \dfrac{x}{-135}[/tex]

Multiply both sides by -135 to solve for x  →  [tex]\dfrac{-135\pi}{180} = x[/tex]

Simply the fraction by dividing by [tex]\dfrac{45}{45}[/tex] →  [tex]-\dfrac{3}{4}\pi = x[/tex]

Answer:

The answer is 10

Answer:

The answer is 10

Step-by-step explanation:

Answer:

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Step-by-step explanation:

t=60 is outside the domain of the function, which is t ∈ [0, 8].

_____

If you take the function and the time at face value, ...

... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*

___

*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.

Answer:

C) 8 seconds

Step-by-step explanation:

Answer:

x=6       x=4

Step-by-step explanation:

x^2 - 10x + 24 =0

We need to factor this equation

What numbers multiply together to give us 24 and add together to give us -10

-6* -4 = 24 and -6+-4 = -10

(x-6) (x-4) = 0

Using the zero product property

x-6 = 0   x-4=0

x=6       x=4

Answer:

1.)C

2.)A

3.)B

Step-by-step explanation:

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