For the following quadratic equation, find the discriminant. –4x² + 24x – 152 = 0
​

Answer:

[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line.

Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:

Substitute the values into the formula.

[tex]m= \frac{-5 -1}{1 - -3}[/tex]

Solve the numerator.

[tex]m= \frac{ -6}{1--3}[/tex]

Solve the denominator. Two back-to-back negative signs become a positive sign.

[tex]m=\frac{-6}{4}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 2.

[tex]m= \frac{-6/2}{4/2}[/tex]

[tex]m= -\frac{3}{2}[/tex]

The slope of the line is -3/2, so the correct choice is C.

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

Answer:

228.75 km/h

Step-by-step explanation:

average speed = total distance / total time

The Average speed is 228.75 Km/h.

Given:

Distance= 30.5 Km

Time= 8 min

       = 8/60 hr= 2/15 hour

Now, Average speed= Distance / time

                                  = 30.5 x 15/2

                                 = 228.75 Km/ h

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Answer:

The company filled 454570 bags.

Step-by-step explanation:

50

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

Answer:

0

Step-by-step explanation:

Answer:

2/8ths are left

Step-by-step explanation:

8 equal.pieces means 8/8

she ate 1/8 and he ate 5/8

thats 6/8

8/8 - 6/8 = 2/8

Answer:

1

Step-by-step explanation:

i dunno maybe not sure

Answer:

I can't see the last answer choice.

9/LM = 6/4.5

Step-by-step explanation:

9cm is to 6cm as LM is to 4.5cm

9/6 = LM/4.5

Rewriting:  9/LM = 6/4.5

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

Answer:

D: assets.

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Answer:

(-9, 5)

Step-by-step explanation:

1. Find the equations of both lines (y = mx +b).

For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:

f1(x) = 2x + 23

For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,

f2(x) = -7x - 58

2. Set the equations equal to each other to find the x-value at which the two equations will intersect.

2x + 23 = -7x - 58

9x = -81

x = -9

3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.

y = 2x + 23

y = 2(-9) + 23

y = 5

OR

y = -7x - 58

y = -7(-9) - 58

y = 5

ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).

Answer:

x = -9 and y =. 5

Step-by-step explanation:

(-2, 19) and (-1, 21)

Slope: (21-19)/(-1- -2) = 2

y-intercept = 21 - (2)(-1) = 23

a) y =2x + 23

(-2,-44) and (-1,-51)

Slope: (-51- - 44)/(-1- -2) = -7/1 = -7

y-intercept: -44-(-7)(-2)=-58

b) y = -7x - 58

Substitute y in equation a.

-7x-58 = 2x + 23

-9x = 81

x = -9

Substitute X by -9 in equation b: y = -7(-9) - 58= 5

y = 5

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

Answer:

70 minute

it was help full

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments

The solution is

The total amount for the lunch is given by the equation A = $ 45.648

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for the lunch be represented as A

Now , the equation will be

The amount for the first lunch = $ 12.35

The amount for the second lunch = $ 14.22

The amount for the third lunch = $ 11.47

The percentage of tip = 20 %

So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47

On simplifying the equation , we get

The total amount for the lunch without tip = $ 38.04

The amount of tip = total amount for the lunch without tip x percentage of tip

Substituting the values in the equation , we get

The amount of tip = 38.04 x ( 20/100 )

The amount of tip = 38.04 x 0.20

The amount of tip = $ 7.608

So ,

The total amount for the lunch A = total amount for the lunch without tip +  amount of tip

Substituting the values in the equation , we get

The total amount for the lunch A = $ 38.04 + $ 7.608

The total amount for the lunch A = $ 45.648

Therefore , the value of A is $ 45.648

Hence , the total amount is $ 45.648

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Answer:

19.08

Step-by-step explanation:

each gal = $2.12

gals filled = 9

9 x 2.12 = 19.08

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

Answer:

Its 53 because 1=1 and 2=2

Step-by-step explanation:

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

Answer:

$176,250

Step-by-step explanation:

Multiply $3.75 million by Tomas commission on his total sales.

Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: if it doesn't have a decimal add one add the end of the number then move it two spaces to the left)

$3,750,000 x .025 or 0.025 = $93,750

Add $93,750 to Tomas yearly salary

$93,750 + $82,500 = $176,250

So

If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250

Answer:

1 1 0 0 1 1 (base 2)

Step-by-step explanation:

Do it as a common sum operation, remember that when you have 2 or more you need to carry over.