Which of the following functions is graphed below?

Answer:

y=9.01

Step-by-step explanation:

In this question you apply the Pythagoras Theorem to generate relationships which will enable you to form equations and solve for the unknown.

The Pythagoras Theorem states that when you have a right-angle triangle and squares are made at each of the three sides, the sum of squares of the two small sides will equal the square of the longest side.

It is expressed as a²+b²=c² where;

In the question we can use three triangles to form expressions using this theorem

First triangle

The relationship you can form is;

[tex]3^2+y^2=z^2\\9+y^2=z^2\\y^2=z^2-9------------------------(1)[/tex]

In this equation you make y² the subject of the formula

Second Triangle

Hence the relationship you can form is

[tex]27^2+y^2=x^2\\729+y^2=x^2\\y^2=x^2-729[/tex]

In this equation you make y² the subject of the formula

Third Triangle

The relationship you can form is;

[tex]z^2+x^2=30^2\\x^2=30^2-z^2---------------------(3)[/tex]

Here x² is the subject of the formula

Equations

[tex]y^2=z^2-9\\y^2=x^2-729\\x^2=900-z^2[/tex]

Substitute equation 3 in equation 2

[tex]y^2=x^2-729-------------2\\\\x^2=900-z^2-------------3\\\\y^2=900-z^2-729\\\\y^2=171-z^2---------------4[/tex]

Substitute equation 4 in equation 1

[tex]y^2=171-z^2---------------4\\\\y^2=z^2-9------------1\\\\z^2-9=171-z^2\\\\2z^2=171+9\\\\z^2=180\\\\z=\sqrt{180} \\\\z=9.487\\\\z=9.5[/tex]

Use the value of z in equation 1 to get value of y

[tex]z^2-3^2=y^2\\\\9.5^2-9=y^2\\\\90.25-9=y^2\\\\81.25=y^2\\\\\sqrt{81.25} =y\\\\y=9.01[/tex]

Answer:

C) B= -1 C= -2

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

We are given the following expression which we are to solve for [tex]x[/tex]:

[tex] 2 7 ^ x = 9 ^ { x - 4 } [/tex]

For this expression, we will make the bases same on both sides of the equation and then equate the exponents equal to each other.

[tex](3^3)^x = (3^2)^{x-4}[/tex]

Multiplying the exponents and equating them to get:

[tex] 3 x = 2 ( x - 4 ) [/tex]

[tex] 3 x = 2 x - 8 [/tex]

[tex] 3 x - 2 x = - 8 [/tex]

x = -8

For this case we must solve the following equation:

[tex]27 ^ x = 9 ^ {x-4}[/tex]

We rewrite:

[tex]27 = 3 * 3 * 3 = 3 ^ 3\\9 = 3 * 3 = 3 ^ 2[/tex]

So:

[tex]3^{3(x)}=3^{2(x-4)}[/tex]

Since the bases are the same, the two expressions are only equal if the exponents are also equal. So, we have:

[tex]3 (x) = 2 (x-4)\\3x = 2x-8[/tex]

Subtracting 2x on both sides:

[tex]3x-2x = -8\\x = -8[/tex]

Answer:

[tex]x = -8[/tex]

Answer:

(0,2/3)

Step-by-step explanation:

I would go for elimination on this one.

This will require we manipulate at least one equation.

I'm going to multiply bottom equation by -2:   -2x-12y=-8

So we have

2x+3y=2

-2x-12y=-8

---------------add the two equations

 0 -9y=-6

     -9y=-6

         y=6/9=2/3

2x+3y=2

2x+3(2/3)=2

2x+2=2

2x=0

x=0

(0,2/3)

Answer: The Answer is A X=0 Y=2/3

Step-by-step explanation:

2x+3y=2

X+6y=4

step one: substitute in the value of x into the equation

2x +3y = 2

x= 4-6y

Step two: Solve with the X substitution

2(4-6y) +3y = 2

You get Y= 2/3

Step three: plug in 2/3 for X

X= 4-6(2/3)

You get 0

therefore: X = 0 and Y=2/3

Answer: 5.25 miles per hour.

Step-by-step explanation:

21/4 = 5.25

Hello There!

WHAT WE KNOW Shelly biked 21 miles in 4 hours. We know that Shelly's average speed = 5.25 miles / hour because "21 divided by 4 equals 5.25"

Answer:

18 square units.

Step-by-step explanation:

graph the square or find the difference then multiply the base by the hight.

Answer:

C) 35 Degrees

Step-by-step explanation:

To find the degree of an exterior angle, subtract the larger arc, DE, degree by the smaller arc, BC, and then divide by 2! Which is 35. 118-48/ 2 = 35.

Answer:

Df=[-7,∞)

Step-by-step explanation:

Answer:

x∈R {x ≥ -7}

Step-by-step explanation:

The domain of the function can only include real numbers. This means whatever happens under the square root sign (i.e. the radicand) cannot be less than 0 (since you can't take the square root of a negative number).

To find the domain, set the radicand ≥ 0:

7 + x ≥ 0

x ≥ -7

Answer:

A. rolling a two and landing on tails

Answer:

6 ft.

Step-by-step explanation:

solution :

360 degree = pie r².

1 degree =pie r²/360

50degree=5pie r²/36

5pie = 5 pie r²/36

r²=36

r=6

Therefore radius = 6 ft.

Answer:60%

Step-by-step explanation:

Final answer:

Lucinda will mark up the price of her flower arrangements by 60% to make a $6.00 profit on each one, which costs her $10.00 to prepare. The correct answer is option a.

Explanation:

Lucinda wishes to make a profit of $6.00 on each flower arrangement she sells, on top of the $10.00 it costs her to prepare one. To calculate the percentage markup, we use the formula: Markup Percentage = (Profit / Cost) × 100%. In Lucinda's case, the profit is $6.00 and the cost is $10.00.

So, the calculation will look like this:

Markup Percentage = ($6.00 / $10.00) × 100% = 0.6 × 100% = 60%.

Therefore, Lucinda will mark up the price by 60% to achieve her desired profit. The correct answer to the question is option a.

Answer:

A

Step-by-step explanation:

For a 1 mile ride, plug in 1 into m.

Total = 0.40(1) + 1.75

= 0.40+1.75 = 2.15.

Because no other answer but A has 2.15, you're answer is A

Answer:A

Step-by-step explanation:

Answer: No

Step-by-step explanation: 5/3 is greater than 1 because 1 is the same as 3/3 and 5/3 is greater than 3/3 making 5/3 greater than 1.

Answer:

x = -345

Step-by-step explanation

2.3 + .02x + .4 - 4.8 = -9

2.7 - 4.8 + .02x = -9

-2.1 + .02x = -9

.02x = 6.9

x = -6.9 / .02

x = -345

Answer: x = -345

Step-by-step explanation:

2.3 + .02(x + 20) - 4.8 = -9

2.3 + (.02x + .4) - 4.8 = -9

-2.1 + .02x = -9

+2.1             +2.1

.02x = -6.9

.02/.02  -6.9/.02

x = -345

[tex]\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ k=5\qquad \qquad y=\cfrac{5}{x}[/tex]

Answer:

C. Y=5/x

Step-by-step explanation:

Inverse variation is given by

xy = k  where k is a constant

Divide each side by x

xy/x = k/x

y = k/x  where k is a constant

Let k=5

y = 5/x  is an equation that is inverse variation

Answer:

-1

Step-by-step explanation:

-4 + -3 = -7

-7 + 6 = -1

-7 + 6 = -1 because when you are adding a positive and negative number you subtract and then add the sign of the bigger number.

Answer:

[tex]A=779.4\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to the area of six equilateral triangles

Applying the law of sines

The area of six equilateral triangles is equal

[tex]A=6[\frac{1}{2}b^{2}sin(60)][/tex]

where

b is the side length of the regular hexagon

we have

[tex]b=10\sqrt{3}\ cm[/tex]

[tex]sin(60\°)=\sqrt{3}/2\ cm[/tex]

substitute

[tex]A=6[\frac{1}{2}(10\sqrt{3})^{2}(\sqrt{3}/2)][/tex]

[tex]A=450\sqrt{3}=779.4\ cm^{2}[/tex]

Answer:

700 square feet

Step-by-step explanation:

We can simply divide 630 by 0.9 to find the value:

[tex]\frac{630}{0.90}=700[/tex]

Checking, if she goes for 700 sq ft at $0.90 per square feet, she would need:

700 * 0.90 = $630

Yes, that's the max, so 700 sq. feet apartment is what she can afford.

Answer:

Dan has £54 left

Step-by-step explanation:

Dan's weekly wages are £540.

Then his spending includes (2/5)w + (5/10()w, or (9/10)w, and this is subtracted from Dan's wages:  £540 - (expenses)

                                                    £540 - (9/10)(£540) = £54

Dan has £54 left after having spent 9/10 of his weekly wages on rent and food.

All you need to do to solve this is multiply 2 to both sides. This will cancel out 2 from the denominator and isolate x...

2([tex]\frac{x}{2}[/tex]) = -7 * 2

x = -14

Hope this helped!

~Just a girl in love with Shawn Mendes

Hello There!

The Answer is -14

If we substitute -14 in the equation as x, -14 ÷ 2 ≈ -7

A negative number divided by a positive number gives us a negative number.

You must remember that a polynomial is written like so...

ax^2 + bx + c

In this case...

a = 1

b = -18

c = 81

To factor you must find two numbers who both add up to b (-18) AND multiply to c (81)

-9 + -9 = -18

-9 * -9 = 81

so...

D. (x - 9)(x - 9)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:B (x+9)(x+9)

Step-by-step explanation: just did it and (x-9)(x-9) is the WRONg answer. the correct answer is B (x+9)(x+9)

The solution to the inequality is [tex]\( \{ x \,|\, x < \frac{15}{2} \} \),[/tex] indicating all real numbers less than [tex]\( \frac{15}{2} \).[/tex]

To solve the inequality [tex]\(2x - 8 < 7\)[/tex], we'll isolate  x by adding 8 to both sides and then dividing both sides by 2.

Here's the step-by-step calculation:

Starting inequality:

[tex]\[ 2x - 8 < 7 \][/tex]

Add 8 to both sides:

[tex]\[ 2x - 8 + 8 < 7 + 8 \][/tex]

[tex]\[ 2x < 15 \][/tex]

Divide both sides by 2:

[tex]\[ \frac{2x}{2} < \frac{15}{2} \][/tex]

[tex]\[ x < \frac{15}{2} \][/tex]

So, the solution to the inequality is [tex]\(x < \frac{15}{2}\).[/tex]

Now, let's express the solution set in set-builder notation. The solution set for x consists of all real numbers less than [tex]\( \frac{15}{2} \)[/tex]. This can be written as:

[tex]\[ \{ x \,|\, x < \frac{15}{2} \} \][/tex]

So, the correct option is:

[tex]\[ \boxed{\{ x \,|\, x < \frac{15}{2} \}} \][/tex]

Answer:

There are 12 bills of 10$ and 11 bills of 20$

Step-by-step explanation:

Let

x ------> number of 10$ bills

y -----> number of 20$ bills

we know that

x+y=23 -----> x=23-y -----> equation A

10x+20y=340 ----> equation B

substitute equation A in equation B and solve for y

10(23-y)+20y=340

230-10y+20y=340

10y=340-230

y=110/10=11

Find the value of x

x=23-y ----> x=23-11=12

therefore

There are 12 bills of 10$ and 11 bills of 20$

Let R = greatest number of rectangular lots.

R = (910 • 300)/(120 • 65)

R = 273,000 ÷ 7800

R = 35

Answer:

x<3

Step-by-step explanation:

The circle is open and the arrow is going left so its going to be less then. The circle is on 3 so the answer is c. x<3.

Answer:

4. h(t)=2000t+800

Step-by-step explanation:

800 is his starting elevation we dont not multiply it

every hour he gains 2000ft in elevation and t shows the hours 2000ft * t (hours) + 800

4-9=5

-2--8=6

y=mx+b

slope/mx=6/1

base/y intercept=5

Answer: The equation for the line in  point-slope form :[tex] (y+2)=\dfrac{-6}{5}(x-4)[/tex]

The equation in slope-intercept form : [tex]y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]

Step-by-step explanation:

The equation of a line in point slope form passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Now, the point slope form passing through points (4, -2) and (9, -8) is given by :-

[tex](y-(-2))=\dfrac{-8-(-2)}{9-4}(x-4)\\\\\Rightarrow (y+2)=\dfrac{-6}{5}(x-4)[/tex]

The equation for the line in  point-slope form :[tex] (y+2)=\dfrac{-6}{5}(x-4)[/tex]

Further if we simplify the equation , we get

[tex] y+2=\dfrac{-6}{5}x+\dfrac{24}{5}\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{24}{5}-2\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]

The equation in slope-intercept form : [tex]y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]