While you are driving along westward at 55 mi./hr you doze for 1.5 seconds. How far have you traveled during your snooze?

Answer:

x=-6

Step-by-step explanation:

5x+3=−27

Subtract 3 from both sides.

5x=−27−3

Subtract 3 from −27

5x=−30

Divide both sides by 5.

x=30/5

Divide −30 by 5

x=−6

Answer: -6

Step-by-step explanation:

  3+5x=-27

3+5x-3=-27-3 ⇔ subtraction property of equality

      5x=-30 ⇔ simplify

  5x/5=-30/5 ⇔ division property of equality

        x=-6 ⇔ answer

Hope this helps!! :)

Answer:

Step-by-step explanation:

Let the number be x

The statement

twice a number is written as

2x

The sum of twice a number and seven is written as

2x + 7

The result is 13

So we have

2x + 7 = 13

Subtract 7 from both sides

That's

2x + 7 - 7 = 13 - 7

2x = 6

Divide both sides by 2

That's

[tex] \frac{2x}{2} = \frac{6}{2} [/tex]

We have the final answer as

Hope this helps you

Answer:

-6

Step-by-step explanation:

In an arithmetic sequence, the common difference is the difference between each number in the sequence.

In this sequence, the common difference is -6 because from left to right, we can see that the numbers decrease by 6 each time.

For example, 12 - 6 = 6.

Answer:

every step you subtract 6 so the common difference is -6

Answer:9

Step-by-step explanation:5+4=9

Answer: A. They are both incorrect

Step-by-step explanation:

x=3√2

y=6

z=3√2

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

45-45-90=1:1:√2

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

solve for x

x is the side accordingly to 90 in the smaller triangle, so it should be the [45] side times √2

3×√2=3√2

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

solve for y

y is the side accordingly to 90, so it should be the [45] side times √2

3√2×√2=6

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

solve for z

z is the side accordingly to 45 in the bigger triangle, x is also accordingly to 45 in the bigger triangle

z=x

z=3√2

Answer:

Explained below.

Step-by-step explanation:

In this case we need to form two group of cards (consisting of any number of cards) having the same sum using the cards numbered as 8, 7, 6, 2, 1, 3.​

The possible groups are as follows:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

{8, 2, 3}                 {7, 2, 1, 3}                  13

{8, 3, 2, 1}              {7, 6, 1}                      14

And so on.

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

Answer:

B

Step-by-step explanation:

a negative and a negative makes a positive, so in this case, it would be a positive 4.

Answer: C

Step-by-step explanation: 96 divided by 8 will give 12 and you subtract 12 from 2 to the power of 3 and it will give 4.

2 to the power of 3= 2×2×2=8

(96÷8)-2³=12-2³

              =12-8

              =4

Answer:

s = -1

Step-by-step explanation:

8 - 4s = s + 13

-4s - s = 13 - 8

-5s = 5

s = 5/-5

s = -1

probe:

8 - 4*-1 = -1 + 13

8 + 4 = 12

Answer:

4n^2

Step-by-step explanation:

n to the power of 2 (squared), multiplied by 4

[tex]4n^{2}[/tex]

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Square of [tex]n=n^{2}[/tex]

Four times the square of [tex]n^{2}[/tex] is equal to [tex]4n^{2}[/tex]

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Answer:

this type of motion is represented by a downward facing parabola which would be choice b

Step-by-step explanation:

hope this helps

Answer:

7

3 times ? - 11

=

? + 3

? = 7

Step-by-step explanation:

3 times 7 is 21 -11 is 10

7+3 is 10

Both equations has to make 10 so it is the answer of 7

Hope this helps :)

Answer:

[tex]\boxed{x=7 }[/tex]

Step-by-step explanation:

3x - 11 = x + 3

→ Minus x from both sides to isolate the 'x's

2x - 11 = 3

→ Add 11 to both sides to isolate 2x

2x = 14

→ Divide both sides 2 to isolate x

x = 7

Answer:

Answer attached below

Since there are no common factors, the only common factor for he eqaution is  1

(✿◡‿◡)

Answer:

It's True!

Step-by-step explanation:

Iv'e taken a class on that.

Answer:

False

Step-by-step explanation:

Intersection of a set A with empty set is an empty set. So the answer is False.

Answer:

b  > 250/9 and w ≥ 0

Step-by-step explanation:

7/9 (b - 27) > 49/81

First, simplify both sides of the inequality:

7/9b - 21 > 49/81

Add 21 to both sides

7/9b - 21 +21 > 49/81 +21

Multiply both sides by 9/7

9/7 x 7/9b > 49/81 x 9/7

b > 1750/81

Simplify

b > 250/9

11w - 8w ≥ 14w

Simplify both sides once again

3w ≥ 14w

Subtract 14w from both sides

3w - 14w ≥ 14w - 14w

-11w ≥ 0

Divide both sides by -11w

w ≥ 0

Answer:

4. 7/9 (b - 27) > 49/81

=> 7/9b - 21 > 49/81

=> 7/9b - 21 > 7/9

=> 7/9b -21 + 21 > 7/9 + 21

=> 7/9b > 7/9 + 189/9

=> 7/9b > 196/9

=> 7/9b / 7/9 > 196/9 / 7/9

=> To divide fractions, take the reciprocal of the divisor fraction and then multiply.

=> b > 196/9 x 9/7

=> b > 1764 / 63

=> b > 28

4th answer is b > 28

5. This question doesn't make any sense.

=> 11w - 8w greater or equal to 14w

=> 3w greater or equal to 14w.

If we make "w" as any number, this equation will not come true as 14 is larger than 3.

This answer may be correct the equation is like:

3w is smaller or equal to 14w.

Answer: False!

This equation is in slope - intercept form, which is used to calculate and graph a line, and/or find the y - intercept and slope of a line. The standard form would be the equation before it was converted into slope - intercept form.

Hope this helps!

Answer:

False

Step-by-step explanation:

The y=mx+b form is called the slope-intercept form.

● m is the slope

● b is the y-intercept

● x is the variable (the input)

● y is the output

Answer:

plz give the ques properly

Answer:

i'm pretty sure its D (not sure btw)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Took the test ;)

Answer:

4 is the lcm if you forgot the space in 4 and 8

Step-by-step explanation:

answer: 4 is the answer when 4 and 8 are are not together

Answer:

C) Flower color.

Step-by-step explanation:

Quantitative variables are things that can be measured. A garden hose's length is measured in meters or feet. You measure the rainfall for a day in millilitres or liters. The weight of books on a shelf is measured in pounds or grams.

Categorical variables are often descriptions, such as C) Flower color.

Hope this helps!

Flower colors, generated from anthocyanins, flavonoids, or carotene which draw bone, trichromats, photoreceptor cells, tri- or tetrachromats butterflies & birds, that are supersensitive, blues, as well as green.

Therefore, the "Option C" is the only correct answer.

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Answer:

  x = 1/2 or 3

Step-by-step explanation:

Compare the given equation to the standard form equation to identify the values of the variables in the formula. Then put those values in the formula and do the arithmetic.

  [tex]ax^2+bx+c=0\\\\2x^2-7x+3=0\\\\a=2;\ b=-7;\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)}}{2(2)}=\dfrac{7\pm\sqrt{25}}{4}=\dfrac{7\pm 5}{4}\\\\x=\left\{\dfrac{1}{2},3\right\}[/tex]

Answer:

Step-by-step explanation:

[tex]2x^2-7x+3=0\\\\x_1 ,2 =\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=2\\\:b=-7\\,\:c=3\\:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}=7+\sqrt{25}\\\\=\frac{7+\sqrt{25}}{2\times\:2}\\\\=\frac{7+\sqrt{25}}{4}\\\\\sqrt{25}=5\\\\=\frac{7+5}{4}\\\\=\frac{12}{4}\\\\=3 \\[/tex]

[tex]x=\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7-\sqrt{\left(-7\right)^2-4\times\:2\cdot \:3}}{2\times\:2}\\\\7-\sqrt{\left(-7\right)^2-4\times \:2\times\:3}=7-\sqrt{25}\\\\=\frac{7-\sqrt{25}}{2\times \:2}\\\\=\frac{7-\sqrt{25}}{4}\\\sqrt{25}=5\\\\=\frac{7-5}{4}\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

Answer:

-2x^2(3x^3-5)=-6x^5+10x^2

-3b^5(2b+1)=-6b^6-3b^5

Answer:

[tex]3\frac{1}{2}-rational[/tex]

[tex]\pi -irrational[/tex]

[tex]-\frac{2}{3}-rational[/tex]

[tex]\sqrt{16} -rational[/tex]

[tex]\sqrt{3} -irrational[/tex]

[tex]18-rational[/tex]

[tex]0.625-rational[/tex]

[tex]0.987987987...-rational[/tex]

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers  [tex]\frac{a}{b}[/tex] , [tex]b\neq 0[/tex]

-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]

-include repeating decimals. For example, [tex]\frac{1}{3} =0.33333....[/tex]

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2}=1.414213....[/tex]

-cannot be written as quotients of integers

Line segment is limited by two endpoints which also define one.

A Line is not limited to but only exists because of those two endpoints.

Hope this helps.

Answer:

Coefficents of 2-x: 2, -1.

The answer is 2 or -1, but I don't have choices.

Answer:

-1

Step-by-step explanation:

The coefficient is the number in front of the variable along with the sign

2 + -1x

The coefficient is -1

Answer:

y = -x + 12

Step-by-step explanation:

2x + 2y = 24

divide all by 2

x + y = 12

y = -x + 12

Answer:

[tex]A=135.37\ \text{inch}^2[/tex]

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, [tex]\theta=135^{\circ}[/tex]

We need to find the area of the sector.

The formula is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2[/tex]

So, the area of the sector is [tex]135.37\ \text{inch}^2[/tex].

Answer:

This is incomplete, but i will answer it in a general way.

A function is something like y = f(x)

You can think in a function like a "machine", that eats an input (x) and transforms it into an output (y).

The functions have a rule: For all the possible inputs, the function can transform them into only one output.

This means that if we have for an input x1.

f(x1) = y1 and f(x1) = y2

So f(x) maps x1 into two different values, y1 and y2, then this is not a function.

Now, you want to change the point (1, 4) of a relationship in order to transform it into a function (so in the relation R we have two points with x = 1, and differet values of y). Then you need to choose the option that in the x-component does not have the same value that one of the other data points of the relation.

Answer:

x4-x3-2x2-4x+12

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

=> x4-4x2+4-(x3-2x2+4x-8)

=> x4-4x2+4-x3+2x2-4x+8

=> x4-x3-2x2-4x+12

The value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are [tex]f(x)=x^4-4x^2+4[/tex] and g(x)=x³-2x²+4x-8.

Now, (f-g)(x)=f(x)-g(x)

= ([tex]x^4-4x^2+4[/tex])-(x³-2x²+4x-8)

= [tex]x^4-4x^2+4[/tex]-x³+2x²-4x+8

= [tex]x^4-x^3-2x^2-4x+12[/tex]

Therefore, the value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

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Answer:

54 EVEN GREATER

Step-by-step explanation:

Answer:

[tex]-\frac{209}{54}[/tex]

Step-by-step explanation:

Therefore, the answer is -209/54.