Suppose y varies jointly as x and z. Find y when x = 5 and z = 16, if y = 136 when x = 5 and z = 8. Round your answer to the nearest hundredth, if necessary.

Answer:

x=2, x=-5

Step-by-step explanation:

to work more comfortably, the first thing we need to do is work the equation linearly, for that we take advantage of the property of logarithms that tells me that [tex]log(a^{b})=b*log(a)[/tex]

in this way, the equation remains as:

[tex]log(12^{x^{2} +5x-4 } )=log(12^{5x+6} ) \\ (x^{2} +5x-4 )*log(12)=(5x+6) *log(12)\\x^{2} +5x-4 = 5x+6[/tex]

Now we clear the equation so that it is of the form [tex]ax^{2} +bx+c=0[/tex]

[tex]x^{2} +5x-2x=6+4\\ x^{2} +3x-10=0[/tex]

finally, we apply the equation to solve second degree equations

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

[tex]x = \frac{-3 \pm \sqrt {3^2-4*1*(-10)}}{2*1}\\ x = \frac{-3 \pm \sqrt {9+40}}{2}\\ x = \frac{-3 \pm 7}{2}[/tex]

x=2 and x=-5

Done

Answer:

C) x = 2, x = -5

Step-by-step explanation:

took quiz

Answer:

3.5

Step-by-step explanation:

First we use the concept of relative speed.

The rates of the 2 planes are 625 mph & 575 mph. 

Relative speed will be:

(speed of plane A)+(speed of plane B)

=625+575

=1,200 mph

Distance=4200 miles

Thus the time taken for them to meet will be:

Time=distance/speed

=4200/1200

=3.5 hours

We therefore conclude that the planes met after 3.5 hours.

Hope this helps!

Answer:

3.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The average profit from the sale of 1 piece of furniture = x+4

The average number of pieces of furniture that can be made using the current supply of raw materials = x - 4

The average profit = The average profit from the sale of 1 piece × The average number of pices that can be made

Hence,

[tex]F(x)=(x+4)(x-4)[/tex]

Use the difference of squares formula:

[tex]F(x)=x^2-4^2\\ \\F(x)=x^2-16[/tex]

The correct range for the coefficient of temperature on the crawling age of babies is (0.055, 0.105), indicating a positive impact of temperature on the age at which babies learn to crawl.

A: (0.053, 0.103) The line equation obtained from the least-squares method for the data points indicates that temperature has a positive effect on the age at which babies learn to crawl. The coefficient value of -0.077739 for the temperature variable implies that on average, for every one-degree Fahrenheit increase in temperature, the crawling age increases by 0.077739 weeks. Therefore, the correct range is option B: (0.055, 0.105).

Answer:

D.Mean; because the data is skewed and there are outliers

Step-by-step explanation:

The plot does not have an even display of dots and there is outliers, or boarders

Answer:

D

Step-by-step explanation:

Answer: A, B & D

I hope this helps answer helps you out! :3

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

X = number of Yan's marbles.  x-3 = number of Geraldo's marbles

annswer: x + (x - 3) = 21

hopes this helps :)

Answer:

Yan has 12 marbles and Geraldo has 9

Step-by-step explanation:

Because 12 + 9 =21 and 9 is 3 less than 12.

Answer:

D

Step-by-step explanation:

g(x) = √(x - 2) - 3

The range is all the possible values of g(x).  Since we can't take the square root of a negative number, the lowest that g(x) can be is:

g(x) = √0 - 3

g(x) = -3

The highest that g(x) can be is:

g(x) = √∞ - 3

g(x) = ∞

So the range is:

[-3, ∞)

Y=2 and X=2.5 You do this by doing scale factor!!

X = 2.5

Y= 5

To find these numbers, I First compared the first triangle to the second triangle.

The angles on the right side were 2x bigger than the angle on left.

Step-by-step explanation:

[tex]A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right][/tex]

[tex]B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right][/tex]

[tex]C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right][/tex]

[tex]D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right][/tex]

[tex]1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right][/tex]

[tex]2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right][/tex]

[tex]3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right][/tex]

[tex]4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right][/tex]

[tex]5.\\2D+3C\\\text{This operation can't be performed because the matrices}\\\text{ are of different dimensions.}[/tex]

Answer:

15200cm^2

Step-by-step explanation:

we can separate this into 2 equivalent triangles , 2 equivalent rectangles, and 1 extra rectangle.

the area of a triangle is 1/2b*h so 40*60*1/2=1200

we have 2 of these triangles so the area of the triangles in total is 2400.

next, the 2 equivalent rectangles. the area of a rectangle is b*h is 80*50= 4000

we have 2 so the area of these rectangles in total is 8000.

lastly we have one more rectangle 60*80=4800.

then we add all these up 2400+8000+4800= 15200

add unit

15200cm^2

and we're done

S=3 because (6x3)-8=10

Yay!

Answer:

The answer is 3

Step-by-step explanation:

*The goal is to get the s by itself.

6s-8=10

Add 8 to both sides to undo the operation(subtraction)

6s-8+8=10+8

Now we have:

6s=18

Divide by 6 to undo the multiplication between the 6 and s.

6s÷6=18÷6

s=3

hope this helps :)

Answer:

60 persent of it is dj 105 ]63

Step-by-step explanation:

Answer:

a] 63

Step-by-step explanation:

Of means multiply

60% * 105

Change to decimal form

.60* 105

63

Answer:

140

Step-by-step explanation:

this is because of alternate suplementry lines

Answer:

[tex]\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}[/tex]

Step-by-step explanation:

[tex]Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}[/tex]

[tex]\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac<0,\ \text{then the equation has no solution}\\\\\text{if}\ b^2-4ac=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{if}\ b^2-4ac>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16<0\\\\\bold{NO\ REAL\ SOLUTIONS}[/tex]

[tex]\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i[/tex]

[tex] \frac{c}{c - 5} = \frac{4}{c - 4} [/tex]

[tex](c - 5)(c - 4) \times \frac{c}{c - 5} = \frac{4}{c - 4} \times (c - 5)(c - 4)[/tex]

[tex](c - 4) \times c = 4(c - 5)[/tex]

With c≠4, 5

[tex] {c}^{2} - 4c = 4c - 20[/tex]

[tex] {c}^{2} - 8c + 20 = 0[/tex]

[tex]c = \frac{2 - + \sqrt{2 - 20} }{2} [/tex]

But 2-20 is negative, therefore there isn't any real solution to this equation.

Answer: 6x^7+ 12x^6+ 3x^5

Hope that helped

Answer:

I can't see the graph

Step-by-step explanation:

Answer:

y-3=(x+5)

Step-by-step explanation:

how i got that was i made my own graph but looks like yours and thats how i got the answer...

Answer:

Step-by-step explanation:

[tex]x^2-5x-6==\\\\x^2+x-6x-6=0\\\\x(x+1)-6(x+1)=0\\\\(x+1)(x-6)=0\iff x+1=0\ \vee\ x-6=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\x-6=0\qquad\text{add 6 to both sides}\\\boxed{x=6}[/tex]

Answer:

Step-by-step explanation:

Use FOIL:  (a + b)(c + d) = ac + ad + bc + bd

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

= 8x² - 2xy - 12xy + 3y²

combine like terms

= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²

You must FOIL (first, outside, inside, last)

First (The first number/variable of each parentheses must be multiplied together)

(2x - 3y)(4x - y)

[tex]8x^{2}[/tex]

Outside (The outside number/variable of each parentheses must be multiplied together)

(2x - 3y)(4x - y)

-2xy

Inside (The inside number/variable of each parentheses must be multiplied together)

(2x - 3y)(4x - y)

-12xy

Last (The last number/variable of each parentheses must be multiplied together)

(2x - 3y)(4x - y)

[tex]3y^{2}[/tex]

Now add/subtract each FOIL answer according to its sign

[tex]8x^{2}[/tex] - 2xy - 12xy + [tex]3y^{2}[/tex]

Combine like terms

[tex]8x^{2}[/tex] + [tex]3y^{2}[/tex] - 14xy

Hope this helped!

~Just a girl in love with Shawn Mendes

The value of nine is 5

Answer:

x=18

Step-by-step explanation:

if x/6=3, the you can use the mulitplication property of equations to solve. so multiply each side by 6. it will eliminate the fraction on the left side of the equal side, leaving you with x and then 6x3=18, therefore

x=18

Answer:

x = 18

Step-by-step explanation:

Multiply 6 on both sides.

x = 18

Answer:

it is -1

Step-by-step explanation:

m= - (4 = m ) + 2

m= -4−m+2

m = −2 −m

m + m = -2 - m + m

2m = -2

2m/2 = -2/2

m= - 1

Answer:

Step-by-step explanation:

I wonder if it wants 3.80 per gallon?

Perhaps the imperial value which would have been 4.50 per gallon which is an imperial gallon (used in Canada). It's hard to tell. I would have thought 3.78 should be more than close enough.

Answer:

$3.79/$4.55

Step-by-step explanation:

1. How many liters in a gallon: 3.79 l (US), 4.55 l (Imp)

2. Cost of gas/gallon: 3.79 liter * $1/liter = $3.79 (US), $4.55 (Imp)

From what you say, using the US gallon, since both answers round to the same number (since there is no currency below the cent), it wouldn't matter too much. Also, unit conversions should not lead to different answers.

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

  center (0 , 0) is  x²/b² + y²/a² = 1

, where

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

ANSWER

[tex]\frac{ {y}^{2} }{ 36 } + \frac{ {x}^{2} }{ 1} = 1[/tex]

EXPLANATION

The equation of an ellipse in standard form with vertices on the y-axis and center at the origin is given by:

[tex] \frac{ {y}^{2} }{ {a}^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]

where

a=6 and b=1

We plug in these value into the formula to get:

[tex]\frac{ {y}^{2} }{ {6}^{2} } + \frac{ {x}^{2} }{ {1}^{2} } = 1[/tex]

[tex]\frac{ {y}^{2} }{ 36 } + \frac{ {x}^{2} }{ 1} = 1[/tex]

Answer:

x = -25/13

Step-by-step explanation:

Subtract 41 from 16 and divide the difference by 13

Answer:

[tex]\large\boxed{x=-\dfrac{25}{13}}[/tex]

Step-by-step explanation:

[tex]13x+41=16\qquad\text{subtract 41 from both sides}\\\\13x+41-41=16-41\\\\13x=-25\qquad\text{divide both sides by 13}\\\\\dfrac{13x}{13}=\dfrac{-25}{13}\\\\x=-\dfrac{25}{13}[/tex]

Answer:

x = 9

Step-by-step explanation:

All 3 sides of the triangle are congruent making it an equilateral triangle with all 3 angles being congruent.

Each angle is therefore 180° ÷ 3 = 60°

Hence

7x - 3 = 60 ( add 3 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

ANSWER

x=9

y=5

EXPLANATION

The y triangle is an equilateral triangle.

Each measure of an equilateral triangle is 60°

This implies that:

(7x-3)°=60°

Add 3 to both sides

7x=60+3

7x =63

Divide both sides by 7

[tex]x = \frac{63}{7} [/tex]

[tex]x = 9[/tex]

Also,

11y+5=60°

Subtract 5: from both sides of the equation

11y=60-5

11y=55

Divide both sides by 11

y=5

Answer:

f(- 1) = 3

Step-by-step explanation:

Locate x = - 1 on the x- axis, then moving vertically up until you meet f(x)

The corresponding value on the y- axis is y = 3, thus

f(- 1) = 3

Answer:

6.70

Step-by-step explanation:

6^2 = 36

9^2 = 81

81-36 = 45

square root 45 = 6.708203932

Answer:     10.8

so formula for this is a^2 x b^2=c^2

Step-by-step explanation:

6^2 is 36

9^2 is 81

36+81 is 117

117 squared is 10.8

Answer:

2

Step-by-step explanation: