A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden

Answer:

x = -9

Step-by-step explanation:

To solve the equation

Let us do these steps with our question to find x

∵ 4(2x + 7) = 12 - 2(10 - 2x)

→ Simplify each side

∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)

∴ 8x + 28 = 12 - 20 + 4x

→ Add the like terms in the right side

∵ 8x + 28 = (12 - 20) + 4x

∴ 8x + 28 = -8 + 4x

→ Subtract 28 from both sides

∵ 8x + 28 - 28 = -8 - 28 + 4x

∴ 8x = -36 + 4x

→ Subtract 4x from both sides

∵ 8x - 4x = -36 + 4x - 4x

∴ 4x = -36

→ Make coefficient of x equal 1 by dividing both sides by 4

∴ [tex]\frac{4x}{4}=\frac{-36}{4}[/tex]

∴ x = -9

Answer:

105miles

Step-by-step explanation:

If 8km = 5miles

Then the number of miles between the two towns = 280/8 × 5

= 35 × 5

= 105miles

Answer:

X= 13/6

and in decimal form:  x=2.16repeated

Answer: Not always the same

Step-by-step explanation:because as its shown every amountof tuna is not the same.

Answer: the price is not always the same/9 pounds

Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6

Answer:

y = -x + 5 or  y = -1x + 5

you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk

Step-by-step explanation:

5 (6 - x) = 5 (1 + y)

30 - 5x = 5 + 5y

-5             - 5    

25 - 5x = 5y

5y = -5x + 25

5            5

y = -x + 5

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser

Name: ________________________________________ Date: ______________ Block: _________

Linear Regression Review

Suppose we have the following points:

1) Draw a scatter plot of the data:

2) What is the line of best fit?

Use the calculator:

 Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The

closer |r| = 1, the better the data fit

 <STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2

 Enter x values in L1

 Enter y values in L2

 <STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>

 Y = ax + b = equation of line of best fit. Equation: ________________________________

 Press <ZOOM>< 9:ZoomStat>

Questions: What would we expect the y-value to be for x value 59? 64? 67?

Use the equation or TABLE feature of the calculator to find out…

x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________

What would we expect the x-value to be for a y value of 2? _________

 The line of best fit allows us to make predictions for data that is almost linear.

 What if data is not linear but is more like another curve?

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2

Quadratic Curve of Best Fit (Quadratic Regression)

 Plot the data (same as linear regression)

 Use calculator QUADREG function to find curve equation and predict values.

 Calculator regression functions: <STAT><CALC>…

o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)

Example 1:

The table shows the monthly sales (thousands) for a new hair salon since its grand opening

in March.

Month 0 1 2 3 4 5

Sales 5.6 5.8 6.2 6.9 7.9 9.0

1) Find the best fitting quadratic model. ________________________________

2) What is the prediction for total sales in September? ___________________

3) How do you know that the better model to use a quadratic fit rather than a linear fit?

Example 2:

Mrs. Grieser's class did an experiment by rolling a marble down different length slanted

boards and timing how long it took. The results are shown below:

sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6

cm. 0 10 60 90 50 40 100 45 80

1) Plot the data:

2) What is the quadratic curve of best fit?

3) Based on the graph, how long would it take for the

marble to roll 15 cm?

4) Approximately how far will the marble travel in 3

seconds?

5) How do we know that a quadratic model is better than a linear model for this example?

Answer:

2/3 - 1/6  is 3/6

Step-by-step explanation:

why

bc like this

make 2/3 to 4/6

4/6 -1/6 = 3/6

3/6 is half

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-3 > n is the same as n < -3 after you flip both sides and flip the inequality.

To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.

We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.

The graph is shown below.

Answer:

nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.

Step-by-step explanation:

Answer:

x + y = 6

Step-by-step explanation:

9 = -2(-1) + b

9 = 3 + b

b = 6

y = -1x + 6

x+y =6

Answer:

The account balance will be $10,866 after 14 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

[tex]A=Pe^{rt}[/tex]

Let us use this rule to solve the question

∵ Ali invests $4,078 in a retirement account

∴ P = 4,078

∵ The account with a fixed annual interest rate of 7% compounded

   continuously

∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07

∵ The time is 14 years

∴ t = 14

Substitute these values in the rule above to find A

∵ [tex]A=4,078(e)^{0.07(14)}[/tex]

→ Use the calculator to find the value of A

∴ A = 10,865.65255

→ Round it to the nearest dollar

∴ A = $10,866

∴ The account balance will be $10,866 after 14 years

Answer:

Im sorry if this is wrong.

a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short

Step-by-step explanation:

The degree of spin Sarah wants to = 360 degrees

Hence, 1 turn = 360 degrees

Sarah does a quarter turn

A quarter is equivalent to : [tex]\frac{1}{4}[/tex]

So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees

= 90 degrees.

The number of degrees short of her goal that Sarah was of her first attempt is  calculated as :

360 degrees - 90 degrees

= 270 degrees.

Therefore, Sarah was 270 degrees short of her goal at her first attempt.

To learn more, visit the link below:

brainly.com/question/19695338

Answer:

144 dollars

Step-by-step explanation:

We are told that:

Lewis and his sister both begin with a balance of zero dollars.

Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.

Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.

Therefore his sister saved 9 dollars for 16 times too.

Thus, his sister saved: 16 × 9 = 144 dollars

Answer:

360

Step-by-step explanation:

the intirior angles equals 180 so ttthe outside have to equal 360

A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 [tex]\times[/tex] 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered  = 12 [tex]\times[/tex] 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 [tex]\times[/tex] 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

Step-by-step explanation:

1) Option II (1)

2) Option III (-5)

3) IV (None of these)

4) III (-4)

Answer:

1. The numerical coefficient of x^2y^2 is 1

2. -5

3. Monomial

4. -4(I know its x squared)

Step-by-step explanation:

1. We know if we multiply any number or variable with 1 it remains same.

here there is no number before (x^2)(y^2) so we assume it as 1.

Hence the answer is 1.

2. numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is "a" and the numerical coefficient of the x term is "b". "c" is properly referred to as the constant term.

3. in monomial there is only one term and pqr is only one term. binomial requires two terms like abc, pqr. and trinomial requires three terms like abc, pqr, mno.

4. -1^2 - 5 = -1 - 5 = -4 I know in rules of subtracting integer it equals to -4

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

If both signs are negative, the answer will be negative.

If the signs are different subtract the smaller absolute value from the larger absolute value.

Answer:

PLSS HELP I NEED TO AWNSER HOW DO I?

Step-by-step explanation:

Answer:

y < -11/20

Step-by-step explanation:

4y+8 < -16y -3

Add 16y to each side

4y+16y+8 < -16y+16y -3

20y +8< -3

Subtract 8 from each side

20y+8-8 < -3-8

20y < -11

Divide each side by 20

20y/20 < -11/20

y < -11/20

Answer:

B

Step-by-step explanation:\

The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4

Answer:

130°

Step-by-step explanation:

Line AD = 180°

Angle BED = 50°

180°-50°=130°

Answer:

Step-by-step explanation:

approx. 140 degrees

Answer:

That is literally ONE OF THE WORST LESSONS EVER......have fun boo :)

Step-by-step explanation:

m = 36

Work

45 + 2.50m = 3.75m

       -3.75m    -3.75m

45 - 1.25m = 0

- 45             - 45

-1.25m = -45

-1.25     -1.25

    m = 36

Answer:

36 is the answer

Answer:

3/8

Step-by-step explanation:

Slope m = (y2-y1) / (x2-x1)

= (3-6) / (1-9)

= (-3) / (-8)

= 3/8

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

Answer:

Donkey Kong

Step-by-step explanation:

Answer:

Yes it does exist

Step-by-step explanation:

You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.

In this case that is possible.

Hope this helps!