what is the solution to the system of equations graph below

gradient of L = -7/4

Explanation:

[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the following values.

[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]

[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]

[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]

Use the slope formula:-

(the slope is the same as the gradient)

[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]

[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

The given parameters are:

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

Answer:

integers are not fractions so there you go

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

Thankyou For joining Brainly Community!!!!

Don't froget Mark me Brainleast!!!!

Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Answer:

(x - 5)(x - 7x)

Step-by-step explanation:

x - 12x + 35 = 0

x - 12x + 35 = 0

x - 5x - 7x + 35= 0

x ( x - 5) -7x(x + 5)

(x - 5)(x - 7x)

Answer:

B.

Step-by-step explanation:

A straight angle is exactly 180°

An Obtuse angle is more than 90°, but less than 180.

A right angle is 90°

An acute angle is less than 90°

In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.

[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]

We know,

[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]

Substituting the values we get

Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)

= 2(112 + 63 + 144)

= 2(319)

= 638

Surface area = 638 inches².

Hey !

Find the surface area of cuboid .

The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .

[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]

Where ,

Substituting value in formula ,

[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]

Now ,

[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]

Adding the values which are inside bracket ,

[tex] \longmapsto \: 2(319)[/tex]

Now multiplying 319 by 2 ,

[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]

Therefore ,

[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

15.9375

Step-by-step explanation:

Just divide the number of miles over the number of gallons.

Answer:

yes!

Step-by-step explanation:

because it is 0.

if it is was 1.304, it would be more than 1 meter.

Hope this makes sense! If you have further questions, let me know!

- profparis

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

Answer:

2

Step-by-step explanation:

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

Answer:

B. [0.802], [0.978]

Step-by-step explanation:

n=49

p=.89

confidence level of 95% has a z value of 1.960

z*= 1.960

z*=qnorm(1.95/2)

p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]

p+/-z*times(√(p)(1-p)/n)

.89+/-1.960* (square root of (.89)(.11)/49))

calculatornetconfidenceintervalcalculatorhtml

mathuheducathyMath2311TestsTest2032311PT3helppdf

Answer:

50/50 chance a black ball will be picked

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

Answer:

D.

Thats what gauth.math said