What is the maximum number of solutions each of the following systems could have?

Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

Answer:

Angle E = 65 degrees

Step-by-step explanation:

Since triangle DEF is similar to triangle BAC, angle E = angle A = 180 degrees - angle B - angle C = 180 degrees - 90 degrees - 25 degrees = 65 degrees

Answer:

x=3

Step-by-step explanation:

i just know

Answer: m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

The equation of the graph:

y = 3x² + 7x + m

If the above quadratic function has two x-intercepts that means:

D > 0

b² - 4ac > 0

On comparing:

a = 3

b = 7

c = m

7² - 4(3)(m) > 0

49 - 12m > 0

12m < 49

m < 49/12

Or

m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts

Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Learn more about quadratic equations here:

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Answer:

[tex]x > 1[/tex]

x is greater than 1

Answer:

11. X=76

Step-by-step explanation:

Answer:

c=6

Step-by-step explanation:

u simplify  it and u get

4c+3=27

4c=24

c=6

Answer:

c= 6

Step-by-step explanation:

We can use distributive property to solve the answer.

-3(c-1)+7c= 27

-3c+3+7c

4c+3= 27

    -3   -3

4c= 24

c= 6

Hope this helps!

Answer:

Step-by-step explanation:

(x,y) = (48/7, -22)

Answer:

Part 1

its asking you to find the slope of the given lines by using the points that they have plotted on the lines

first you need to figure out what the points are, then insert it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Part 2:

its asking you to find the slope using the points that are written in each box

again, just substitute it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Answer:

what's the question??zz

Answer:

(12 * 4) + 4x / 4

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

3.1 divided by 5

.............................

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Answer:

All of the above.

Step-by-step explanation:

In a graph, the unit rate gives us the change in y for a unit change in x. That is, the unit rate is the rate of change in y when the change in x is 1.

Therefore, the unit rate is the same as the rate of change.

And the rate of change is synonymous with the slope.

The constant of proportionality is simply the slope/rate of change for proportional equations.

Therefore, the constant of proportionality is also another word for the unit rate.

Our answer is hence all of the above.

Step-by-step explanation:

In this question maybe we have to make equation or formulas so

A to find yellow jelly beans = 2g

B to find red jelly beans = g - 5

C to find black jelly beans = g + 4

The value of x in the proportion below is option 1 3 1/2.

When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.

The given proportion is:

[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]

Using the method of cross-product or butterfly method:

[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]

The value of x is 3.5. Converting this value into mixed fraction:

3.5 = 3 1/2

Hence, the value of x in the proportion below is option 1 3 1/2.

Learn more about proportion here:

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Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer

Answer:

2 1/2 per piece

Step-by-step explanation:

Answer:

= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+4)=5x−2

(3)(2x)+(3)(4)=5x+−2(Distribute)

6x+12=5x+−2

6x+12=5x−2

Step 2: Subtract 5x from both sides.

6x+12−5x=5x−2−5x

x+12=−2

Step 3: Subtract 12 from both sides.

x+12−12=−2−12

x=−14

Answer:

132°

Step-by-step explanation:

Find the supplementary angle of 48°

To do this, subtract 48° from 180°

180 - 48 = 132°

Step-by-step explanation:

ABD = 180

[tex]180 - 48 = 132[/tex]

Answer: 6 ft and 2 ft

Step-by-step explanation:

Answer:

6ft and 2ft

Step-by-step explanation:

8ft board ÷ 2 pieces = 4ft each

4ft and 4ft boards. But one of them is longer by 2ft so:

4ft - 2ft = 2ft

4ft + 2 ft = 6ft

So, one piece is 2ft and the other piece is 6ft

Answer:

The answer is 153.8

Step-by-step explanation:

To find the perimeter you sum all the sides. 5.9+12.3+12.3+10.9+12.3+23.2+18.2+10.9+12.3+35.5= 153.8

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers

Answer:

-5f is lower than summer 98°f

Step-by-step explanation:

n the winter, a town has a low of -5°F. In

the summer, the same town has a high of

98°F. What is the difference in temperature?

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20