resolute academy algebra 1

Resolute Academy Algebra 1

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: [tex]\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3[/tex]. This is incorrect

Answer 2

Answer:

C. 2(x + 10)(x - 10)

Step-by-step explanation:

2x^2-200\\2(x^2-100)\\2(x+10)(x-10)


Related Questions

HELP!!!
I need to know if this is Function or not a function.

Answers

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Write 6.8167 correct to 3 significant figures.​

Answers

Answer:

6.82

Step-by-step explanation:

Can someone help me out I don't understand

Answers

Answer:

1/2

Step-by-step explanation:

You need to see how much times bigger or smaller the shape is after it's changed, that's the scale factor

The dialated image (blue one where it says J'K'T'P') seems like half the size of the black one, so we'll say the scale factor is half or 1/2 (if it's double then the scale factor is 2, for triple, it's 3)

Answered by GAUTHMATH

find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2​

Answers

Answer:

y = -4x

Step-by-step explanation:

First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.

To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.

Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have

-4 = (-4) * 1 + b

-4 = -4 + b

add 4 to both sides to isolate the b

0 = b

Therefore, our equation is

y= (-4)x + 0

y = -4x

yes jcuctxujensh ysywhxnchuencjcjd

find the quantity whose 15% in 220​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{15}{100}*220=\frac{15}{10}*22=3*11 = 33[/tex]

Complete the statements.
f(4) is
f(x) = 4 when x is

Answers

F(4)=1/2
F(x)=4 when x is 8


Hope this helps:)

The answer X is 8
Hope I helped

30 POINTS!!!!
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.

Answers

Answer:

Tables 4 and 6

Step-by-step explanation:

Look at the y-values as x-values are same for all tables.

We see that:

Tables 1 and 5 - linear function as the differences are same.Tables 2 and 3 - exponential function as the ratios are same.Tables 4 and 6 - seem quadratic as there are repeat values showing the symmetry.

Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?

Answers

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

Solve the system of equations:
v=2x-4
y=x2 - 4

Answers

The choose (D)

(0,-4) and (2,0)

Find the measure of one exterior angle for the following regular polygon that’s for both questions

Answers

Answer:

Step-by-step explanation:

the expression below is a factorization of what trimonial (5x+6)(3x-2)

Answers

Answer:

[tex]15x^2 + 8x -12[/tex]

Step-by-step explanation:

(5x+6)(3x-2)

"foil" it out

F: 5x * 3x  = 15x^2

O: 5x * -2  = -10x

I: 6*3x = 18x

L: 6 * -2 = -12

Answer:

15x² + 8x - 12

Step-by-step explanation:

(5x + 6)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis

= 15x² - 10x + 18x - 12 ← collect like terms

= 15x² + 8x - 12

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)

Answers

Answer:

I assume that we want to complete the statement:

"The maximum profit of $__ dollars is reached when __ items are produced"

We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).

Then we can assume that the profit will be positive in this range.

Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.

If this is the case, we know that the maximum will be at the vertex.

Here we know that the vertex is:

(50, 1000)

Where remember, x represents the number of items and y represents the profit.

So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.

Then the complete statement is:

"The maximum profit of $1000 dollars is reached when 50 items are produced"

which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1

Answers

Answer:

the answer to your question is D

In the rhombus, m angle 1 equals 106. What are m angles 2 and 3?

Answers

Answer:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

THIS IS TIMED I NEED THE ANSWER NOW

Answers

Answer:

114 pi or 359

Step-by-step explanation:

HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?

Answers

Step-by-step explanation:

Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles

x + y = 180

x = 3y - 4

3y - 4 + y = 180

4y = 184

y = 46

x = 134

Answer:

30°,150°

Step-by-step explanation:

SEE QUESTION IN IMAGE

Answers

Answer:

d) 2y + x = 106

Step-by-step explanation:

Mean of the data = sum of the data / number of frequencies:

(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106

Correct choice is d

which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2

A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2

Answers

Answer:

D

Step-by-step explanation:

[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]

find the perimeter of the isosceles trapezoid

Answers

Answer:

A =136 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2( 22+12) *8

A = 1/2 ( 34)*8

A =136 cm^2

So to find the perimeter you have to find the length of the diagonal lines. The definition of isosceles means that the shape has two sides of equal length. So you’d solve for te missing length using the Pythagorean theorem. The difference between the top side and the bottom is 10, which means that each side of the 90 degree is 5. So on the bottom it is 5,12,5 for measurements, meaning that the middle is a square with two right triangles.

Solve using the Pythagorean theorem

a^2+b^2=c^2 with This you should get 9.43 (rounded) as your values.

Then just add up the side lengths.

2(9.43)+22+12, which gives a perimeter of 52.87 (rounded)

5^2+8^2=c^2

If BC = 5, DE = 9, and AB = 4, what is the length of AD?


7
8
7.2
7.5

Answers

There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.

AB / AD = BC / DE

4 / (4 + BD) = 5 / 9

---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.

5(4 + BD) = 9 x 4

20 + 5BD = 36

5BD = 16

BD = 3.2

AD = AB + BD

AD = 4 + 3.2

AD = 7.2

Hope this helps!

Write the equation of the line with a slope of 4 that contains the point (5, 8).

Answers

Answer:

y = 4x - 12

Step-by-step explanation:

y = 4x + b

8 = 4(5) + b

8 = 20 + b

-12 = b

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]

Given that,

A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).

So,

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]

NOW,

The equation is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]

An equation is shown below:
3(2x – 7) = 3

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

Part A: One | Part B: x = 4

Step-by-step explanation:

[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]

Answer:

4

Step-by-step explanation:

3(2x _7)=3

multiply 3 by everything in the bracket

6x-21 = 3

move 21 to the other side of the equation,it becomes positive sine it crosses the = sign

6x = 3+21

6x =24

divide both sides by 6

6x/6=24/6

x = 4

Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression

Answers

Answer:

divide, 2x+9

Step-by-step explanation:

got it right

HELPPP PLEASE:((((( I NEED TO TURN THIS IN TOMORROW ​

Answers

You just need to plug in any values of x to see if u get y. The answer here is C

Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37

Find the standard deviation of this sample of times. Round your answer to two decimal places.

=___

Answers

Answer:

8.80

Step-by-step explanation:

(S. D.)^2=summation(x-mean)^2/(n-1)

S. D.=sqrt(388/5)

S. D.=8.80

If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.​

Answers

LM is 6.9 to 1dm and LM is 8

What should be added to twice the rational number
-1/3 to get 4/5

Answers

Answer:

[tex]1 \frac{7}{15} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} \times 2 + x = \frac{4}{5} \\ - \frac{2}{3} + x = \frac{4}{5} \\ x = \frac{4}{5} + \frac{2}{3} \\ x = \frac{12 + 10}{15} \\ x = \frac{22}{15} \\ x = 1 \frac{7}{15} [/tex]

Find the length of CB
.

Answers

Answer:

CB = 7

Step-by-step explanation:

CB = CK

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4 / 2

x = 2

CB = 5x - 3

= 5 ( 2 ) - 3

= 10 - 3

CB = 7

Answer:

CB = 7

Step-by-step explanation:

since the 2 triangles are AAS (B, K, E, CE as shared side) proven congruent, CB and CK must have the same length.

5x - 3 = 3x + 1

2x = 4

x = 2

CB = 5x - 3 = 5×2 - 3 = 10 - 3 = 7

Mr. Denning bought a jacket for $67.50
and a tie for $12.50. If a sales tax of 3%
was added to the price of his purchase,
what was his total bill?

Answers

67.50 + 12.50 = 80

80/100 = 0,8 x 3 = 2.4

so, the total bill was 80 + 2.4 = 82.4

hope it helps :)

Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.

Answers

144.
Ok so he bought 9, and now has 81. All we have to do is take 9 away from 81 again and then multiply it by 2.
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