A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.

Step-by-step explanation:

remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

a)

I think there is a typo, and this should be

5x² - 7x = 72

5x² -7x - 72 = 0

x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10

x1 = (7 + sqrt(1489))/10

x2 = (7 - sqrt(1489))/10

b)

x(x + 2) = 5

x² + 2x - 5 = 0

x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =

= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =

= -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

c)

3x² + 2x - 4 = 0

x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =

= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =

= (-1 ± sqrt(13))/3

x1 = (-1 + sqrt(13))/3

x2 = (-1 - sqrt(13))/3

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

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Solution:

Let the two digits of a number be X and Y

Let the digit at 10's place = X

Let the digit at 1's place = Y

The two digit number = 10X+Y

Given that

The sum of the digits = 9

⇛ X+Y = 9

⇛X = 9-Y →→→→eqn(i)

If 9 is added to the number the digits interchanged

⇛10X+Y +9 = 10Y+X

⇛10X+Y+9-10Y-X = 0

⇛9X-9Y +9 = 0

⇛9(X-Y+1) = 0

⇛X-Y+1 = 0

⇛9-Y-Y+1 = 0

⇛10-2Y = 0

⇛2Y = 10

⇛Y = 10/2

⇛Y = 5

Now

X = 9-5 = 4

Therefore the number = 45 Ans.

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Answer:

see that attachment

I hope it's help you

Answer:

4:11:7

Step-by-step explanation:

Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12

Answer:

4:11:7

Step-by-step explanation:

please mark me as brainlest

Answers:

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

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

The option A and C are negative. also, option B and D are positive.

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

WE need to write the sums of the integers as either positive or negative.

-8+(-9) = -17

This gives the negative answer.

7+(-3) = 4

This gives the positive answer.

5+(-12) = -7

This gives the negative answer.

-12+15 = 3

This gives the positive answer.

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Answer:

a)  320 is correct

b)  20 more 18 year old students

Step-by-step explanation:

a)  320 is correct

b)  20 more 18 year old students:  The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:

12 years: 40 students

18 years:  60 students

Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

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Here we've been given,

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

Answer:

y = 12x - 22

Step-by-step explanation:

If we first write the equation in vertex form and we identify it (I think you meant to simplify y) we get y = 12x - 22 as your answer!

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

So

<BCA= 180- 55-50

Is the answer (b)

Answer:

B

Step-by-step explanation:

A triangle's angles all add up to 180 degrees. If m∠A is 50 and m∠B is 55 then m∠C is 75.

m∠C = 180 - (m∠A - m∠B); which is 180 - 105

180 - 105 is 75; Therefore, m∠C is 75 degrees

Proof: 50 + 55 + 75 = 180

Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

Answer:

slope = 6

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line

m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6

The slope of the line given in the task content is; m = 6.

The slope of the line is the rate of change of the dependent variable with respect to the independent variable.

On this note, the slope of the equation is;

Slope, m = (-4-8)/(-6-(-4))

m = -12/-2

m = 6.

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Answer:

37

Step-by-step explanation:

38 + u actually thought lol

Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

The reflexive property of equality states that:

a + b = a + b.

Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:

m∠1 + m∠2 = m∠2 + m∠3.

Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).

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Answer:

$750

Step-by-step explanation:

simple interest equation is:

I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)

I = 7500 x .02 x 5

I = 750

By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.

First, remember that for a rectangle of length L and width W, the area is given as:

[tex]A = W*L[/tex]

Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.

The area of the first rectangle is:

[tex]A = 18ft*14ft = 252 ft^2[/tex]

The area of each one of the smaller ones is:

[tex]A' = 8ft*4ft = 32 ft^2[/tex]

Then the area that we need for the carpet is:

[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]

We need 188ft^2 of carpet to cover the floor.

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I think the answer would be D. 10 is closest to 0.9997

Answer:

x = 32/67 y = 36/67

Step-by-step explanation:

5x+3y = 4 ------1

14x-5y = 4 -------2

1×5 ; 25x+15y = 20 --------3

2×3 ; 42x-15y = 12 -------4

3+4 ; 67x = 32

x = 32/67

5×(32/67)+3y = 4

y = 36/37

Answer:

2x + 3y = 7

9x − 2y = 4

Step-by-step explanation:

i did the quiz on flvs

Answer:

B. LXYB.

Step-by-step explanation:

Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

Answer:

Step-by-step explanation:

here is an explanation:

2p²-p+4+p²+p+1=3p²+5

You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused  :) <3

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω = 6π

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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Answer:

Step-by-step explanation:

let price of Orange=x

price of Apple=2x

x+2x=20

3x=20

x=20/3

cost of Apple=2x=2×20/3=40/3=$13 1/3