Please help! Algebra 2!!

Please Help! Algebra 2!!

Answers

Answer 1

Mistake found

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

3x - 4x - 8 = 2 instead of 3x - 4x + 8 = 2

Correct answer

x= -13 y= -30

Answer 2

Answer:

See below.

Step-by-step explanation:

So we have the system of equations:

[tex]3x-2y=21 \text{ and } y=2x-4[/tex]

The student took the following steps:

[tex]3x-2(2x-4)=21\\3x-4x-8=21\\-x-8=21\\-x=29\\x=-29\\y=2(-29)-4=-58-4=-62[/tex]

The student's mistake is in step 2. He/she distributed incorrectly. You are supposed to distribute the -2 to both terms, so it should be -4x plus 8, since -2 times -4 is positive 8. Fixing that mistake, we will have:

[tex]3x-2(2x-4)=21\\3x-4x+8=21 \\-x+8=21\\-x=13\\x=-13\\y=2(-13)-4=-26-4=-30[/tex]

Thus, the final answers should be (-13, -30).


Related Questions

Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic

Answers

Answer:

A. linear, because it's growing the same amount each growing season

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is linear because it goes up by a constant every year

What is the area of this composite figure?

Answers

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

[tex]2*2=4[/tex]

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

[tex]A=\pi r^2[/tex]

The radius is half of the diameter, so the radius is 1. Insert values and solve:

[tex]A=\pi *1^2\\\\A=\pi *1\\\\A=\pi[/tex]

The area of the circle is equal to π. Add the values together:

[tex]4+\pi =7.14[/tex]

The area of the figure is 7.14 in²

:Done

Anyone know the answer or how to solve this

Answers

Answer:

9 for part b 40 for part a

Step-by-step explanation:

if u do 5 times the numbers it gives u the product so 45 is 9 times 5 and 40 os 8 times 5

Answer:

Part A: 9 orange beads

Part B: 40 blue beads

Step-by-step explanation:

Notice that you need to have the proportion of blue beads always 5 times larger than the number of orange beads. therefore you need to complete the table following such pattern:

Part A:  for 45 blue beads, she needs to use : 45/5 = 9 orange beads

Part B: for 8 orange beads, she needs to use 8 * 5 = 40 blue beads

Last year, Marla planted x rows of tomatoes in her garden, and each row has (x + 5) tomatoes. This year she increased the number of rows by 3 and doubled the number of tomatoes in each row. How many more tomatoes did Marla plant this year than last year?

Answers

Answer:

8

Step-by-step explanation:

rows=x

each row=(x+5) tomatoes

she increased the number of rows by 3

and doubled the number of tomatoes in each row

3multiplied by x=3x

(2x+10) because she doubled them

3x+10÷2x

=8

I've tried I hope this helps

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)

Answers

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer:

[tex]\large \boxed{2(5x-4)(x+1)}[/tex]

Step-by-step explanation:

[tex]10x^2 + 2x - 8[/tex]

Rewrite 2x as 10x - 8x.

[tex]10x^2 + 10x-8x - 8[/tex]

Factor out the two groups.

[tex]10x(x+1)-8(x+1)[/tex]

Take x+1 as a common factor.

[tex](10x-8)(x+1)[/tex]

Factor 10x - 8.

[tex]2(5x-4)(x+1)[/tex]

Which of the following represents the solution for -2 ≤ 7 - x < 11 ?

Answers

Answer:

A

Step-by-step explanation:

- 2 ≤ 7 - x < 11

-9 ≤ - x         - x < 4

9 ≥ x           x > -4

Answer:

Hey there!

-2 ≤ 7 - x < 11

-9 ≤ - x < 4

9 ≥ x > -4

-4 < x ≤ 9

A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.

Let me know if this helps :)

Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?

Answers

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer: There are 20 vegetable plants

A box of 15 cookies cost nine dollars what is the cost of one cookie

Answers

Answer:

$1.67

Step-by-step explanation:

Divide 15 by 9 to find the price of one cookie:

15/9 = 1.67

=  approximately $1.67

Correct answer gets 5 stars and brainliest

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12


In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:

535.2 cm²

Step-by-step explanation:

The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.

The net consists of 2 triangles and 3 rectangles.

Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)

height = 6.9cm

Each rectangle has length (l) of 20cm, and width (w) of 8cm

Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles

S.A = 3(l*b) + 2(½*b*h)

S.A = 3(20*8) + 2(½*8*6.9)

S.A = 3(160) + (1*8*6.9)

S.A = 480 + 55.2 = 535.2 cm²

find the midpoint of the line segment whose endpoints are
(5,9) (2,-1)?​

Answers

Answer:

(3.5,4)

Step by step explanation:

x coordinate =

[tex] \frac{5 + 2}{2} [/tex]

= 3.5

y coordinate =

[tex] \frac{ - 1 + 9}{2} [/tex]

= 4

midpoint = (3.5,4)

Answer:

(  3.5,4)

Step-by-step explanation:

To find the midpoint

Add the x coordinates together and divide by 2

(5+2)/2 = 7/2 = 3.5

Add the y coordinates together and divide by 2

(9+-1)/2 = 8/2 = 4

( 3.5,4)

a man bought a set of furniture listed 2350. he received a discount of 5% and then paid 3 % sales tax on the selling price. the sales tax was

Answers

Answer:

Sales tax on selling price:  $2232.50(0.03) = $66.98

Step-by-step explanation:

List price:  $2350

5% discount:  0.05($2350) = $117.50

Sale (selling) price:  List price less discount:  $2350 - $117.50 = $2232.50

Sales tax on selling price:  $2232.50(0.03) = $66.98

Write the following as an algebraic expression. Then simplify.
The sum of two consecutive odd integers if the first integer is x.

Answers

Answer:

2x+2

Step-by-step explanation:

The first odd integer is x

The second odd integer is x+2

The sum

x+ x+2

2x+2

We want to factor the following expression:
(x+4)^2 -4y^5 (x+4) + 4y10
We can factor the expression as (U – V)2 where U and V are either constant integers or single-variable
expressions.
1) What are U and V?

Answers

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Square root of (x + 4)^2 = x + 4

Square root of 4y^10 = 2y^5

U = x + 4 and V = 2y^5.

(U - V)^2 = U^2 - 2UV + V^2

= (x + 1)^2 - 2 (2y^5 (x + 1) + 4y^10

= (x + 1)^2 - 4y^5 (x + 4) + 4y^10

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Jared hiked a trail that is 12 miles long. He hiked the trail in section that were 1.5
miles each. In how many sections did he complete the hike?

A. 12
B. 8
C. 10
D. 4​

Answers

Not sure but it’s probably 8
12 divided by 1.5= 8

In a Quadrilateral, two of the angles each have a measure of 110°, and the measure of the third angle is 90°. What is the measure of the remaining angle?

Answers

Answer:

50°

Step-by-step explanation:

The total measurement of the sum of the interior angles is 360.

It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:

110 + 110 + 90 + x = 360

Combine like terms:

(110 + 110 + 90) + x = 360

310 + x = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:

310 (-310) + x = 360 (-310)

x = 360 - 310

x = 50

50° is the measurement of the remaining angle.

Simplify 5 x 5^2 leaving your answer in index form.​

Answers

Answer:

5^3

Step-by-step explanation:

5^1 x 5^2

indices rules when multiplying you add the powers to 1+2=3

5^3

Find the number of positive divisors of 540.

Answers

Answer:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Step-by-step explanation:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Therefore, the number 540 is not a prime number or a deficient number

A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;

1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.

Answer:

[tex]540 = 3 ^{3} \times 2 {}^{2} \times 5[/tex]

so, it is 4*3*2= 24

Please answer now question

Answers

Answer:

              1664 yd²

Step-by-step explanation:

P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²

A student says that the function f (x) = –x² – 9 has the x-intercepts (-3,0) and (3,0). Is the student correct? If not, expl.
why. ​

Answers

Answer:

No

Step-by-step explanation:

The student is wrong because the function has no solutions.

You cannot factor it because the x² is negative.

If it was x² - 9 instead, you could factor it into (x-3)(x+3) which would get you the x-intercepts (-3,0) and (3,0).

But instead, -x² - 9 cannot be factored at all and has no x-intercepts/solutions.

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean corresponds to a z-score of z = –1.00.

Answers

Answer:

True

Step-by-step explanation:

Given that:

M = 27, sample of n = 36 scores, µ = 30 and σ = 18.

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that M = 27, this means that x = 27. Therefore:

[tex]z=\frac{x-\mu}{\sigma}\\\\for \ a\ sample\ size(n):z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{27-30}{18/\sqrt{36} } =\frac{-3}{3}=-1[/tex]

This sample mean corresponds to a z-score of z = –1.00.

What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?

Answers

Answer:

(x-3)(5x+4)

x=3 x=-4/5

Answer:

(5x + 4)(x - 3)

Step-by-step explanation:

Hello!

Factor:

5x² - 11x - 12

Think: What two numbers add up to -11 but multiply to (5)(-12)?

Answer: -15 and 4

Continue:

5x² - 11x - 125x² - 15x + 4x - 12       Expand with the values we found5x(x - 3) + 4(x - 3)        Factor by grouping(5x + 4)(x - 3)

The factored expression is (5x + 4)(x - 3)

Quadratic and Ratios...​

Answers

Answer:

x=0

Step-by-step explanation:

in the quadratic formula to only have one solution

[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]

so we have

[tex]ax^2+b=c[/tex]

[tex]ax^2+(b-c)=0[/tex]

if we insert in the formula we have

[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]

[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0

[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]

Will give brainliest. Find the length and measure of each arc. Show your work.

Answers

Answer:

exact arc length = 21pi

approximate arc length (using calculator) = 65.9734457253857

approximate arc length (using 3.14 for pi) = 65.94

units are in feet

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

Work Shown:

L = (x/360)*2*pi*r

L = (315/360)*2*pi*12

L = 21pi = exact arc length in terms of pi

If you use your calculator's stored version of pi, then L is approximately

L = 21pi

L = 65.9734457253857

Or if you end up using pi = 3.14, then

L = 21*pi

L = 21*3.14

L = 65.94

Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.

2e - 3f = 4
2e - 5f = 8

solve this linear equation by the elimination method

please show your working ✨✨THANK YOU​

Answers

Answer:

The value of e is -1 and f is -2.

Step-by-step explanation:

The steps are :

[tex]2e - 3f = 4 - - - (1)[/tex]

[tex]2e - 5f = 8 - - - (2)[/tex]

[tex]2e - 3f - 2e - ( - 5f) = 4 - 8[/tex]

[tex]2f = - 4[/tex]

[tex]f = - 4 \div 2[/tex]

[tex]f = - 2[/tex]

[tex]substitute \: f = - 2 \: into \: (1)[/tex]

[tex]2e - 3( - 2) = 4[/tex]

[tex]2e + 6 = 4[/tex]

[tex]2e = 4 - 6[/tex]

[tex]2e = - 2[/tex]

[tex]e = - 2 \div 2[/tex]

[tex]e = - 1[/tex]

2e - 3f = 42e - 5f = 8

To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, before we add, we need to cancel out a variable.

I would choose to cancel out the e's.

To do this, we need a 2e and a -2e and

here we have a 2e in both equations.

If we multiply the second equation by -1 however,

that will give us the -2e we are looking for.

So we have (-1)(2e - 3f) = (4)(-1).

So rewriting both equations, our first equation stays the same

but our second equation becomes -2e + 3f = -4.

Notice that every term in the second

equation has been multiplied by -1.

2e - 3f = 4

-2e + 5f = -8

Now when we add the equations together,

the e's cancel and we have 2f = -4 so f = -2.

To find e, plug -2 back in for f in the

first equation to get 2e - 3(-2) = 4.

Solving from here, e = -1.

Note that e comes before f in our final answer, (-1, -2).

To determine which variable should go first

in your answer, use alphabetical order.

I am unable to find the answer to this pleas help me

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] of 600 is 150

hope this helps

plz mark as brainliest!!!!!!

Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.

Answers

Answer:

0.5625 ft^2

Step-by-step explanation:

area of square = side * side

A = s^2

A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2

define a ploynomial with real coeffients​

Answers

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable is called polynomial. A polynomial with real coefficients is a product of irreducible polynomials of first and second degrees.

Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)

Answers

Answer:

67.63 oz

Step-by-step explanation:

1 liter = 33.814 oz

2 litres = 2 x 33.814 oz = 67.628 oz

Find the area of the shape shown below.
9.0
3.5
2
5
2.
units

Answers

Answer: 42.5 unit^2

Explanation:

Answer:

[tex] \boxed{42.5 \: {units}^{2} }[/tex]

Step-by-step explanation:

The shape could be divided into a rectangle and a trapezoid ( bottom part )

Let's find the area of the given shape:

Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]

plug the values

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]

[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]

[tex] \mathsf{ = 31.5 + 11}[/tex]

[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]

Hope I helped!

Best regards!

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