select all the number sets of numbers that are possible values for x in the inequality x>-6

Answer:

16) r = C/(2·π)

17)  [tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) z ≥ 1

Solve each inequality and graph the solution

21) n ≤ 1

22) p > -5

23) -3 ≤ q ≤ 2/5

24) x > 1/5

25) x < -11

26) 7

Step-by-step explanation:

Solving for the indicated variable

16) C = 2·π·r for r

Dividing both sides by 2·π gives;

C/(2·π)  = 2·π·r/(2·π)  = r

∴ r = C/(2·π)

17) [tex]V = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h \ for \ r^2[/tex]

Dividing both sides by [tex]\left( \dfrac{1}{3} \cdot \pi \cdot h \right)[/tex] gives;

[tex]\dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{ \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)}[/tex]

[tex]\therefore r^2 = \dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

[tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) 2·x + 3·y = 9 for x, gives;

x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) Solve each inequality

z - 3 ≥ -2

z ≥ -2 + 3 = 1

∴ z ≥ 1

Solve each inequality and graph the solution

21) 3·n  + 5 ≤ 2·n + 6

n ≤ 1

22) 10·p + 20 - p > p + 3 - 23

9·p + 20  > p - 20

8·p > -40

p > -5

23) -1 ≤ 1 - 5·q ≤ 16

∴ 2/5 ≥ q ≥ -3

-3 ≤ q ≤ 2/5

Solve each word problem

24) Let x represent the number, we have;

2·x + 3·(x + 2) > 17

5·x + 6 > 7

∴ x > 1/5

The numbers are numbers larger than (1/5)

Solve each inequality

25) 2·(x - 5) + 3·x < 4·(x - 6) + 3

2·x - 10 + 3·x < 4·x - 24 + 3

x < -11

26) -2 - [-4 - (3 - 2)] = -2 + 4 + 3 - 2 = 7

Answer:

x = -6

Step-by-step explanation:

8 + 4x = -16

4x = -16 - 8

4x = -24

x = -24/4

x = -6

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 6}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➺[tex] \: 4x = - 16 - 8[/tex]

➺[tex] \: 4x = - 24[/tex]

➺[tex] \: x = \frac{ - 24}{4} [/tex]

➺[tex] \: x = - 6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➼[tex] \: 8 + 4( - 6) = - 16[/tex]

➼[tex] \: 8 - 24 = - 16[/tex]

➼[tex] \: - 16 = - 16[/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.

Answer:

x = 49.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta  = opp /adj

tan x = 14/12

Taking the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (14/12)

x =49.39870535

x = 49.4

Answer:

x = 49.4

Step-by-step explanation:

It's right triangle , so we can use trigonometry functions

tan θ = opposite side / adjacent side

tan x = 14 / 12

Taking inverse tan of each side

[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]

x = 49.39870535

Round nearest tenth of degree = 49.4

Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=16√13

Answer:

2 -cups

Step-by-step explanation:

-cup = 1/2 cup

-cup =1/2 cup

1/2 + 1/2 = 1 cup

Answer:

Step-by-step explanation:

take lcm of (2x-1)(x+2)

lcm=(2x-1)(x+2)

=2(x+2)-1(2x-1)/(2x-1)(x+2)

=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)

=2x+4-2x+1/2x^2+4x-x+2

=4+1/2x^2+3x+3

=5/2x^2+3x+3

Answer:

3

Step-by-step explanation:

3 × 3 × 10²

Answer:

x=11

Step-by-step explanation:

The equation for the problem is 4x-2=42. The angle (4x-2) is equal to 42 degrees because it is vertical to the angle with 42 degrees. If angles are vertical, they are equal to each other.

Add 2 to both sides of the equation.

4x+2=4x     42+2=44

Simplify.

4x=44

Divide 4 by both sides.

4x/4=x     44/4=11

Simplify to get the final answer.

x=11

Answer:

Step-by-step explanation:

x^2 + 2x - 3 =0

x^2 + 3x - x -3 = 0

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

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

x+3=0

x-1=0

x=-3

x=3

x1 =-3, x2 = 1

Answer:

[tex]x=1,\\x=-3[/tex]

Step-by-step explanation:

The quadratic formula is given by [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where [tex]x[/tex] represents both real and nonreal solutions to a quadratic in standard form [tex]ax^2+bx+c[/tex].

Thus, with the given quadratic [tex]x^2+2x-3[/tex], we can assign values:

Substituting in these values to the quadratic formula, we have:

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}[/tex]

Verify by factoring:

[tex]x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}[/tex]

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

Answer:

[tex]\boxed {\boxed {\sf d= \sqrt{34}}}[/tex]

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

Substitute the values into the formula.

[tex]d= \sqrt {(-2-3)^2+(2--1)^2[/tex]

Solve the parentheses.

[tex]d= \sqrt{(-5)^2+(3)^2[/tex]

Solve the exponents.

[tex]d= \sqrt{25+9}[/tex]

Add.

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

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

Answer:

y = 3(x + 1)² - 7

Step-by-step explanation:

y = 3x² + 6x - 4

First, factor out the coefficient of the quadratic eq'n:

y = 3(x² + 2x - ⁴/₃)

Use the "complete the square" rule;

The "x² + 2x" should be rewritten as "(x + 1)² - 1", i.e. place into squared brackets x (without the power 2) and add half the coefficient of the x-term, you then need to subtract the square of the constant term in the squared brackets and then simplify:

y = 3((x + 1)² - 1 - ⁴/₃)

y = 3((x + 1)² - ⁷/₃)

Finally, multiply the 2 terms you end up with by the 3, factored out initially:

y = 3(x + 1)² - 7

Answer:

36 cuz they are congruent

Step-by-step explanation:

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

Answer: x=45

Step-by-step explanation:

2x+6=96

2x=90

x=45

Answer:

its 93.4

Step-by-step explanation:

just multiply 46.7 by 2

Answer: Unlock code = 76

==========================================================

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

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

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

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

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

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

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

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

The unlock code is

E+F+G+H = 2+24+21+29 = 76

Answer:

Infinite points

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-24x - 4y = -164

y = 41 - 6x

Step 2: Solve for x

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.

Answer:

The hypotenuse is sqrt ( 2x^2)

Step-by-step explanation:

Given a right angled triangle, we can find the hypotenuse of a triangle using the Pythagorean theorem which says that c^2 = a^2 + b^2, where a is the length, b is the perpendicular height and c is the hypotenuse. The length of the triangle (l) is x and the height of the triangle is also x. By substituting the values,

c^2 = x^2 + x^2 = 2x^ 2

There are two possible answers to c but the hypotenuse cannot be negative.

Hence,

c = Sqrt (2x^2)

Answer:

hope this helps

Step-by-step explanation:

what do you have to do

Answer:

1/6

Step-by-step explanation:

The six sided die has a total of 6 possible outcomes with red being only one of them. Therefore, this means that in a single dice roll the probability of it being red would be 1/6. Since, the question asks the probability of at least one red outcome, the second roll can be anything. Therefore, the probability of the second roll would be 6/6 or 1 and if we multiply this by the probability of the first roll it would stay the same. Meaning that the probability of getting atleast one red outcome in two rolls would be 1/6

Answer:

Step-by-step explanation:

let the other angle be x

in complementary angle sum of two angle is 9 degree.so,

73.9+x=90 degree

x=90-73.9

x=16.1 degree

Answer:

C. 1

Step-by-step explanation:

angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)

4x = x + 3 subtract x from both sides

3x = 3 divide both sides by 3

x = 1

Answer:

-21

Step-by-step explanation:

f(-3) = -4(-3)² + 15 = -4(9) + 15 = -36 + 15 = -21

Answer:

f(-3) = -21

Step-by-step explanation:

f(x) = −4x²+ 15

f(-3) = -4(-3)² + 15

f(-3) = -4(9) + 15

f(-3) = -36 + 15

f(-3) = -21

Answer:

20

h(x) = 2x - 20

Step-by-step explanation:

f(x) = ¹/₂ x + 10

First, isolate x, like so:

f(x) - 10 = ¹/₂ x

x = 2(f(x) - 10)

x = 2f(x) - 20

Now, simply switch f(x) with x and x with h(x), like so:

h(x) = 2x - 20

Answer:

the answer is 20

Step-by-step explanation:

took the test on edge

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

24^2+10^2=x^2

576+100=x^2

676=x^2

[tex]\sqrt{676[/tex]=x

26=x