solve for x please and thank you​

Answer:

The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Step-by-step explanation:

Given;

[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]

Simplifying further;

5k - 8 = 20 ------- (1)

5k - 8 = -20------(2)

Solving equation (1)

5k - 8 = 20

5k = 28

k = 28 /5 = 5 ³/₅

Solving equation (2)

5k - 8 = -20

5k = -20 + 8

5k = -12

k = -12 / 5  = -2 ²/₅

Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

Answer:

e) cos(90-x)

Step-by-step explanation:

sinx=cos(90-x)

You should ask a moderator

Answer:

Jose answered incorrectly.  In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".

Answer:

top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:Graph A if I’m incorrect sorry

Step-by-step explanation:

Answer:

b.5

a-3

a.20

its korrect now

Answer:

50y + 25x = 800

&

50x + 25y = 800

The equation in slope-intercept form is  y = - 2x - 3.

The general equation of a straight line is

y = mx + c,

where m is the gradient or slope, and

y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Now the given equation is,

10x + 5y = - 15

Dividing the equation by 5 we get,

2x  + y = - 3

Subtracting 2x both the side we get,

2x  + y - 2x = - 3 - 2x

⇒ y = - 3 - 2x

or, y = - 2x - 3

This is the required slope-intercept form.

where -2 is the slope and -3 is the intercept.

Thus, the equation in slope-intercept form is  y = - 2x - 3.

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Answer:

$9.30

Step-by-step explanation:

Answer:

Jamal will put $9.30 in his P.Y.F. account this week.

Step-by-step explanation:

Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.

%5 of $186 is $9.30 ($186/20).

This week, he will put $9.30 in his P.Y.F. account.

Hope this helps!

Answer:

If what??? can you please finish the question in the reply?

Answer:

(6,7)

Step-by-step explanation:

took the test, was correct.

x= 6, y=7

solve for the first variable in one of the equations, then substitute the result into the other equations.

The value of x is 0.05 and y is 4.8 for given system of equations.

Two or more expressions with an Equal sign is called as Equation.

The given  system of equations are

y=2+56x...(1)

4x−3y=3...(2)

Substitute (1) in equation (2)

4x-3(2+56x)=3

4x-6+168x=3

172x-6=3

Add 6 on both sides

172x=9

Divide both sides by 172

x=9/172

x=0.05

Now plug in x value in equation 1

y=2+56(0.05)

=2+2.8

y=4.8

Hence, the value of x is 0.05 and y is 4.8 for given system of equations.

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Answer:

58 degrees

Step-by-step explanation:

Answer:4x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

54

Answer:

75 is the answer to your question

Answer:

i believe its 75 my guy

Answer: = 4y + 7z + 8

Answer:

7z+4y+8

Step-by-step explanation:

Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8

Answer:

i think its

4× + 5y > = 85

Step-by-step explanation:

i hope im right or even close i tryed i should be right tho HAVE A NICE DAY!!

Answer:

[tex]Probability = \frac{2}{9}[/tex]

Step-by-step explanation:

Given:

A pair of dice

Required

Determine the probability of a sum of 5 or 9

Let the sample space of the first die be S1 and the second, S2

[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes

[tex]S_2 = {1,2,3,4,5,6}[/tex]  --- 6 outcomes

Number of sample space, n is:

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

Next, we list out all possibilities of obtaining a sum of 5

[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]

n(Sum5 )= 4

Next, we list out all possibilities of obtaining a sum of 9

[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]

n(Sum9)= 4

The required probability is then calculated as:

[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]

[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]

Take LCM

[tex]Probability = \frac{4+4}{36}[/tex]

[tex]Probability = \frac{8}{36}[/tex]

Simplify

[tex]Probability = \frac{2}{9}[/tex]

The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

The SSS congruence theorem states that  If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then,  the two triangles are said to be congruent.

From the diagram given, we have;

For the three sides of triangles NLM to be equivalent to that of LNY;

Line MN must be equal to line YL

Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

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Answer:

its the 2 option......................

The required value of x is 7.

In the given statement is:

m/HGS = 3x + 5,

m/SGF=21x +3, and m/HGF = 176º.

and, to find the value of 'x'

The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF

m ∠HGS = 3x + 5

m ∠SGF = 21x + 3

m ∠HGF = 176°

Set the equation:

m ∠SGF + m ∠HGS = m ∠HGF

Plug in the corresponding terms to the corresponding variables:

21x + 3 + 3x + 5 = 176°

24x + 8 = 176°

24x = 176° - 8

24x = 168°

x = 168°/24

x = 7

Hence, The required value of x is 7.

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Answer:

160

Step-by-step explanation:

there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.

1. 4 by 6 =24

2. 6 by 11 =66

3. 7 by 10= 70

add them altogether

=160

Answer:

attach photo of coordinate plane

Answer:

1. (-3,3 ½)

2. (2.9,1) or (2 9/10,1)

3. (-1,-2.5) or (-1,2 1/2)

4. (1.9,-1) or 1 9/10,-1)

Step-by-step explanation:

Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.