Solve for x in the literal equation −4 = xy + z.

Answers

Answer 1

Answer:

x = (-4 - z)/y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4 = xy + z

Step 2: Solve for x

Subtract z on both sides:                    -4 - z = xyDivide y on both sides:                       (-4 - z)/y = xRewrite:                                                x = (-4 - z)/y

Related Questions

What is the image point of (-4, 8) after a translation right 3 units and down 3 units?

Answers

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

Use the information given to write an equation in standard form.

Slope is -2, and (4, 3) is on the line.

Answers

Answer:

[tex]2x+y=11[/tex]

Step-by-step explanation:

Standard form of an equation is written as [tex]ax+by=c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Plugging in all given values in the problem ([tex]m=-2[/tex], [tex]x=4[/tex], and [tex]y=3[/tex]), we can solve for [tex]b[/tex]:

[tex]3=-2(4)=b, \\b=11[/tex].

Therefore, our equation in slope-intercept form is:

[tex]y=-2x+11[/tex].

Rewriting in this in standard form, we get our answer:

[tex]\fbox{$2x+y=11$}[/tex]

Last month rudys tacos sold 22 dinner specials. The next month they sold 250% of last months dinners. How many dinner specials did they sell this month?

Answers

Answer:

55 special dinners

Step-by-step explanation:

From the question,

Last month rudys tacos sold 22 dinner specials.

The next month they sold 250% of last months dinners.

Hence:

250% × 22 special dinners

= 55 special dinners

The number of dinner specials they sold this month is 55 special dinners

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Which function is graphed below?

Answers

Exponential Function.

[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]

Also the shown graph is a decreasing graph.

[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]

The equation above is the equation of the graph that is shown in the picture.

there are 15 pieces of fruit in a bowl and 6 of them are apples what percentage of the pieces of fruit is in the bowl of apples​

Answers

Answer:

40%

Step-by-step explanation:

6/15=.4 move the decimal 2 spots to the right to get percentage :)

Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?

Answers

9514 1404 393

Answer:

  B(10, 2)

Step-by-step explanation:

The division by point C means ...

  B -C = 2(C -A)

  B = 3C -2A . . . . . add C and simplify

  B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6))  . . . .  fill in the coordinate values

  B = (6+12, 12-12)

  B = (18, 0)

Solve each equation. Check 19. x(x - 32)=0​

Answers

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

Find the mean of the data in the pictograph below.

Answers

The answer is 12. Ann's

Answer:

3 i think..

Step-by-step explanation:

lol  i just added and then multiplied then divided..

Can someone help please?

Answers

Answer:

a: 36

b: 32

Step-by-step explanation:

Lizard views: 4

Since Ferret has 9 times as much as Lizard views, you can multiply it by 9:

4 x 9 = 36 views

To find the difference, subtract Ferret views with Lizard views:

36 - 4 = 32 views

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.

What number is 2/5 of 50

Answers

2/5 * 50

= 100/5
= 20
Hi ☘

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]

HELP WHATS THE VALUE OF X RLLY IMPORTANT ​

Answers

Answer:

The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.

Step-by-step explanation:

Answer:

I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(

Step-by-step explanation:

Jacob's family traveled 2/7 of the distance to his grandfather's house on Saturday. They traveled 2/5 of the remaining distance on Sunday. What fraction of the total distance to his grandfather's house was traveled on Sunday?

Answers

Answer:

2/7

Step-by-step explanation:

on Saturday, the family drove 2/7 of the total distance

distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7

On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]

what is 2/3 ÷ 3/4 I really need help​

Answers

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

Pls help it due ASAP hdhdhd

Answers

Your answer would be D

Jaden is wrapping presents for his family. He has 7 boxes to wrap altogether. If he has 6 yards of ribbon, how much will he use for each present?

Answers

6 yards for all the presents

Help !!!
See question in image.
Please show workings .
​​

Answers

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule on each term

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

y = 2x² + 5x - 3

[tex]\frac{dy}{dx}[/tex] = 2.2[tex]x^{2-1}[/tex] + 5[tex]x^{1-1}[/tex] - 0

    = 4x + 5

[tex]\frac{dy}{dx}[/tex] ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

7
Express 40 cm as a percentage of 5 m.

Answers

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

4/50=2/25=8%.

Answer is=8%.

A rope is tied to a tent for support as shown. Rope Support 14 TL sin What is the length of the rope?​

Answers

Answer: 10ft

Step-by-step explanation:

The pole and the distance between the rope and pole make this appear as though it is a right angled triangle which means that one should be able to calculate the length of the rope by using the Pythagorean rule where:

c² = a² + b²

a = height of right angle triangle

b = length of right angle triangle

c = hypotenuse (length of rope)

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft

Length of rope = 10ft

HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)

Answers

(-3.5,1.5) mark it the brainliest

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

(-6-1/2),(5-2/2)

(-7/2),(3/2)

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

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

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

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

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

A store has a 25% off sale on coats. Marcy saved $18.75 on the coat she bought. What was the original price of the coat?

Answers

Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

find the area of the trapezoid below by decomposing it into fimilar shape?​

Answers

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d

Answers

-3(-10d + 8) + 3d - 3(-10d + 8) + 3d
= 30d - 24 + 3d + 30d - 24 + 3d
= (combining like terms)
= 30d + 3d + 30d + 3d - 24 - 24
= 66d - 48
= 66d/6 and -48/6
= 11d - 8

Help! Thx so much its pretty easy! u guys r da best!

Answers

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot

Answers

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

if this is the graph of f(x)=a^(x+h)+k, then: A. k>1
B. 0 1

Answers

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

Find the slope between these two points: (3, 8) and (1, 5).

Answers

the slope is 3/2 (3 over 2)

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

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