What is the value of z?

Answer:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

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

Step-by-step explanation:

Quadratic equation:

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

The equation is:

[tex]4x^2 - 10x + 5 = 0\\[/tex]

So:

a = 4

b = -10

c = 5

Plug the variables into the quadratic equation:

[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]

[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]

[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]

Divide both sides by 8:

10 ÷ 8 = [tex]\frac{5}{4}[/tex]

[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]

[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]

This means that the solutions that satisfy the equation is:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

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

Hope this helps!

Answer:5

Step-by-step explanation: 4*5=20

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

Answer:

whats the question?

Answer: 800 dollars per month

Step-by-step explanation:

12000 divided by 15 is 800

800 x 15 = 12000

Answer:

The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.

Step-by-step explanation:

Since the two angles are corresponding, they are equal.

7x-14 = 4x + 19

Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.

3x-14 = 19

Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.

3x = 33

Divide by 3.

x = 11

Answer:

C

Step-by-step explanation:

1. Add 4x +8

the awswer would be 12x

2. subtract the 12x from the lenght which is 24

then your and will be 12

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

Answer:

[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]

Answer:

19.66

Step-by-step explanation:

9.83 / 0.5

19.66

Sorry if it is not correct but I think that this is the corrcet answer.

Answer:

$40,000 + $300x

Step-by-step explanation:

If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.

Answer: $40,000 + $300x

Answer:

44.8

Step-by-step explanation:

Take the second number and subtract the first number

44.4 - (-.4)

Subtracting a negative is like adding

44.4 +.4

44.8

Answer:

[tex]D.44.8[/tex]

Step-by-step explanation:

The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.

- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).

9514 1404 393

Answer:

  A) W'(-4, 2), ...

Step-by-step explanation:

Put the values of x and y in the translation relation to see what the translated point's coordinates are.

  (x, y) ⇒ (x -7, y +4)

  W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A

Answer:

b = c - 3/4y

Step-by-step explanation:

move 3/4y to the other side with c:

c - 3/4y = b

b = c - 3/4y

Answer:

x = 14

Step-by-step explanation:

The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then

5x = 3x + 28 ( subtract 3x from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Answer:

4a: 1

4b: 6, -6

Step-by-step explanation:

4a. (3 - 5)= -2; (9 - 6)=3

(-2 + 3) = 1

4b. We aren't told which cards Jesse pick up, only that they didn't affect his total points. Therefore, the two cards have the same number, but opposite signs. We coluld pick any teo an an example: 6 and -6, or 4 and -4, etc. They don't affect his score since they ccancel each other with a result of zero.

Answer:

-12 gal / min

Step-by-step explanation:

[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]

Answer:

1.   y = 7x + 2

2.   y = 1/3x - 1  or 3y = x - 3

Step-by-step explanation:

Use this formula y = mx + b   where the slope is represent by "m" and the y-intercept is represent by "b"

1.    y = mx + b

     y = 7x + 2

2.   y = mx + b

     y = 1/3 x + (-1)      Let clean this up by multiplying each term by 3

     3y =  1x - 3  or 3y = x - 3

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then then corresponding sides are in proportion , that is

[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values

[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

Similarly

[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is

[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

The similarity ratio is the ratio of corresponding sides , that is

[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

SRUT is [tex]\frac{3}{5}[/tex] of NMQP

Answer:

25

Step-by-step explanation:

17 / 0.68 = 25

check your answer?

25 * 0.68 = 17

:)

Answer:

the answer is 26

Step-by-step explanation:

The quantity of items you must sell to break even are = 17 items.

To rent a table = $100

The cost of each item = $4

You sold each item at prize = $10

Therefore the gain for each item = 10 - 4

= $6

Therefore, the quantity of items to sell to recover the cost from renting of the table is =

[tex] \frac{100}{6} [/tex]

= 16.6 items

which is approximately = 17 items.

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Answer:

hhehehehehheehehe

Step-by-step explanation:

hehehehehhee

Answer:  (4x + 3) (x + 2)

Step-by-step explanation:

We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6

Since 4x² + 11x + 6  = 4x² + 8x + 3x + 6

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

The  factors of the given expression  [tex]4x^2 +11x+6[/tex]  are  (x+8) and (x+3).

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.

The factors of the following expression can be calculated as:

[tex]4x^2 +11x+6[/tex] = [tex]x^2+ 8x+ 3x+24[/tex]

                     = x(x+8) +3(x+8)

                      = (x+8) (x+3)

Thus, the factors of the [tex]4x^2 +11x+6[/tex] are (x+8) (x+3)

Learn more about factors here:

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