Graph the inequality. y ≥ |x + 5| - 3

Answer:

the answer is b

Step-by-step explanation:

Answer:

I think the answer to this would be 93.40

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

Step-by-step explanation:

2x-x = x

x+4x = 5x

5x is the answer

Answer:

5x

Step-by-step explanation:

2x - x + 4x =

x + 4x =

5x

Answer:

0.1

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of rectangle :

Area = Length * width

Length = 0 - 10 = 10

Area = 1

Hence,

Area = Length * width

1 = 10 * w

1 = 10w

w = 1 /10

w = 0.1

Answer:

Step-by-step explanation:

Given numbers : 2 , 6, 18, 54

Since common ration between numbers,

[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]

So the numbers are in GP.

Now Sum of the numbers = 2 + 6 + 18 + 54 = 80

AM, arithmetic mean between first and last number :

                                                                             [tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]

All the conditions are true.

Answer:

x = 1

Step-by-step explanation:

Recall: adjacent angles supplementary

Therefore,

65x + 115° = 180°

Subtract 115° from each side

65x + 115° - 115° = 180° - 115°

65x = 65

Divide both sides by 65

65x/65 = 65/65

x = 1

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

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

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Answer:

Chisquare test

t - test

Correlation

ANOVA, F ratio.

Step-by-step explanation:

The Chisquare test is suitable for testing categorical variables with factors levels more than 3.

The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.

Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.

Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.

Answer:

Mean mass of 20 rugby player = 55

Step-by-step explanation:

Given:

Mass of 6 rugby players = 540 kg

Mean mass of 14 ballet dancer = 40 kg

Find:

Mean mass of 20 rugby player

Computation:

Total mass of ballet dancer = 14 x 40

Total mass of ballet dancer = 560 kg

Total mean mass of 20 rugby player = [540 + 560] / [6 + 14]

Mean mass of 20 rugby player = 1100 / 20

Mean mass of 20 rugby player = 55

Answer and Step-by-step explanation:

To find x, we need to add 9 to both sides of the equation.

x = 22  <-- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

X=22

Step-by-step explanation:

X-9=13

X=13+9

X=22

Answer:

for part b the vertex is (2, 13)

Step-by-step explanation:

no (ice)

Answer:

It could be (2, 13)..

Step-by-step explanation:

Find the equation of the quadratic function determined from the graph above.

The vertex of the graph of the quadratic function is (2, -3). The graph passes through the point (5, 0). By replacing x and y with 5 and 0, respectively, and h and k with 2 and -3, respectively we have,

[tex]\sf\rightarrow{y=a(x-h)²+k}[/tex]

[tex]\sf\rightarrow{O=a(5-2)²-3}[/tex]

[tex]\sf\rightarrow{0=a(3)²-3}[/tex]

[tex]\sf\rightarrow{3=9a}[/tex]

[tex]\sf\rightarrow{a=\frac{1}{3}}[/tex]

[tex]\sf\rightarrow{y=\frac{1}{3}(x-2)²-3}[/tex]

or,

[tex]\sf{y=\frac{1}{3} \: x²-\frac{4}{3} \: x-\frac{5}{3}}[/tex]

#Hope it helps!

(ノ^_^)ノ

Answer:

y = (x-2)²/3 - 3

Step-by-step explanation:

the vertex is at (2,-3), so the vertex form of the function is

y = A(x-2)²-3

where A is a constant to be found.

We see that when x=5, y=0, so substitute values to find A.

0 = A(5-2)² - 3

solve for A to get

A(3²) = 3

A = 1/3

So the equation is

y = (x-2)²/3 - 3

Check for x = -1

y = (-1-2)²/3 - 3 = 0 checks

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

slope :

[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

learn more intensity of sound here:

brainly.com/question/9367064

#SPJ2

Answer:

Yes, if you didn't eat all 5 of your pizzas young man.

Step-by-step explanation:

Answer:

Collage math (hehe) ... Ben is 20

Step-by-step explanation:

Give me Brainiest Answer Award please and thank you! :D

Arithmetic

If Francis is ten years old, then Ben is twenty.

10x2=20

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

Answer:

Sets B and C are subsets of set A

Answer:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABC= [(3x+7)° + (5x+11)°].

Now, Angle ABE + Angle ABC= 180° [Being linear pair].

or, 90° + (3x+7)° + (5x+11)°= 180°

or, (3x+7)° + (5x+11)°= 90°

or, 8x + 18° =90°

or, 8x = 90°-18°

or, X = 9°

Therefore, X= 9°.

Now,

Angle DBC = (5*9+11)°

= 56°

Therefore, the measure of angle DBC is 56°.

Hope it helps!

[tex]\huge\bold{To\:find:}[/tex]

✎ The measure of ∠ DBC.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°[/tex]

Substituting the value of [tex]x°[/tex] in ∠ DBC, we have

[tex](5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°[/tex]

[tex]\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

1) 3 roots

2) 2 roots

3) 4 roots

Answer:

first one has 3 roots

second one has 2 roots

third one has zero roots

9514 1404 393

Answer:

Step-by-step explanation:

The symbol % is interchangeable with /100. That is 25% = 25/100. One percent is one hundredth, so the decimal equivalent can be found by writing the percentage number in the hundredths place of a decimal number.

  25% = 25/100 = 0.25 = 25 hundredths

The fractions can be converted to percentages by any of ...

  multiply by 100%: 1/5 × 100% = (100/5)% = 20%

  multiply by a value that makes the denominator 100: 1/5 × 20/20 = 20/100

  divide the numerator by the denominator to get the decimal, then convert

     1/5 = 0.20 = 20%

__

Additional comment

You will notice that multiplying by 100% is the same as moving the decimal point right 2 places and adding a % symbol. Similarly, dividing by 100% will convert a percentage back to a decimal. It has the effect of removing the % symbol and shifting the decimal point left 2 places.

Answer:

Q2 and Q4

Step-by-step explanation:

Trigonometric functions and quadrants:

In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.

In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.

In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.

In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.

Cotangent:

The cotangent is the cosine divided by the sine.

Cotangent negative, which quadrants?

It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.

Answer:

Step-by-step explanation:

y ≈ -2.667x + 4.667