Which expression is equivalent to (3x^2-7)?

Answer: option a.

Step-by-step explanation:

To factor a polynomial of degree 2, with the form [tex]ax^{2}+bx+c[/tex], you must find two number whose sum is a and  whose product is c. Then:

a) [tex]x^2+3x+2\\(x+1)(x+2)[/tex]

(it can be factored into two binomials)

b) [tex]x^2+4x+5[/tex] cannot be factored into two binomials.

c) [tex]x^2+5x+7[/tex]  cannot be factored into two binomials.

d) [tex]x^2+6x+10[/tex] cannot be factored into two binomials.

Therefore, the answer is the option a.

I think the answer is 1620 inches.

Because 36 times 45 is 1620

1.00 would be your answer because 95 rounded up is 100. So, 0.95 is closest to 1.00

Answer:

[tex]\large\boxed{V=75\ in^3}[/tex]

Step-by-step explanation:

The formula ogf a volume of  a pyramid:

[tex]V=\dfrac{1}{3}BH[/tex]

B - area of a base

H - height

We have a base length a = 5 in and a height H = 9 in.

In the base we have a square. The formula of an area of a square is:

[tex]B=a^2[/tex]

Substitute:

[tex]B=5^2=25\ in^2[/tex]

Calculate the volume:

[tex]V=\dfrac{1}{3}(25)(9)=(25)(3)=75\ in^3[/tex]

Answer:

A

Step-by-step explanation:

B C were already used in the graph

The answer is A) Trapezium NOLM. If you reflect RSTU over the X axis it produces the trapezium in the top left. Then flipping it over the Z axis is bottom right, NOLM.

Answer:

Length is your answer

Answer: The answer is COLOR

Step-by-step explanation:

Extensive means covering or affecting a large area and all other options are numerical values expect color. :)

Answer:

[tex]5\ years[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]D=P(1-r)^{t}[/tex]  

where  

D is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

t  is Number of Time Periods  

in this problem we have  

[tex]P=\$12,000\\r=9\%=0.09\\D=\$7,500[/tex]

substitute in the formula above and solve for t

[tex]\$7,500=\$12,000(1-0.09)^{t}[/tex]  

[tex](7,500/12,000)=(0.91)^{t}[/tex]  

Apply log both sides

[tex]log(7,500/12,000)=t*log(0.91)[/tex]  

[tex]t=log(7,500/12,000)/log(0.91)=5\ years[/tex]  

Answer:

You only can to sum expressions with the same exponent, so:

Step-by-step explanation:

(4x^5+3x^3-x-6)+(3x^3-9x-4)

Best regards

Answer:

4x^5+6x^3-10x-10

Step-by-step explanation:

you get rid of the parenthesis and combine like terms

The answer is [tex]\frac{4y}{y+3}[/tex]

See the attached figure

Answer:

[tex] \frac { 4y } { y + 3 } [/tex]

Step-by-step explanation:

We are given the following terms and we are to find their product:

[tex] \frac { 2y } { y - 3 } \times \frac { 4y - 12 } { 2y + 6 } [/tex]

[tex] \frac { 8y^2 - 24y } { 2y^2 - 6y + 6y - 18 } [/tex]

Taking the common terms out and cancelling them to get:

[tex] \frac { 2 (4y^2 - 12y ) } { 2 (y^2 - 9 ) } [/tex]

[tex] \frac { 4y ( y - 3 ) } { ( y + 3 ) ( y - 3 ) } [/tex]

[tex] \frac { 4y } { y + 3 } [/tex]

3x/5y = 60% 2x/4y=50%

Answer:

[tex]\large\boxed{Area:\ 69\ ft^2}\\\\\boxed{Perimeter:\ 58\ ft}[/tex]

Step-by-step explanation:

Look at the picture.

The perimeter:

[tex]P=3+17+12+2+9+15=58\ ft[/tex]

We have two rectangles 12 ft × 2 ft and 15 ft × 3 ft.

Calculate the areas of the rectangles:

[tex]A_1=(12)(2)=24\ ft^2\\\\A_2=(15)(3)=45\ ft^2[/tex]

The area of the figure:

[tex]A=A_1+A_2\\\\A=24+45=69\ ft^2[/tex]

18+2n. For sure hope it helps

18+2n. Hope this helps!

0.0006=6x10^-4

Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.

Answer:

0.0006

Step-by-step explanation:

A number in scientific notation if it has the form a × 10ⁿ.

A negative exponent indicates

6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.

Thus, 6 × 10⁻⁴ becomes 0.0006

Total students in the class who got the quiz = 28

The average of the class average was = 82.5

Five students that were absent made up the quiz after school and their scores were a 78, 89,92,99, & 63.

The formula for an average= (sum of values) / (count of values)

As the average is given as 82.5 and there were 28 students, so sum of the 28 values will be = [tex]28\times82.5=2310[/tex]

Total students of the class = 28+5(absent) = 33

For 33 students the total score was = 2310 +(78+89+92+99+63)

= 2731

So, average for 33 students will be = [tex]\frac{2731}{33} =82.757[/tex] or 82.76

So, the new class average is 82.76

Answer:

f(x) = log x – 1 ⇒  x-intercept = (10 , 0)

f(x) = -(log x – 2) ⇒ x-intercept = (100 , 0)

f(x) = log(-x – 2) ⇒ x-intercept = (-3 , 0)

f(x) = -log -(x – 1) ⇒ x-intercept = (0 , 0)

Step-by-step explanation:

* lets talk about the log

- If log a = b, that means the base of the log is 10

- To solve it we will change it to exponential function

∴ [tex]10^{b}=a[/tex]

* Now do that in each one of the problem

* ∵ f(x) = log x - 1

- To find the x-intercept put y = 0

∴ log x - 1 = 0 ⇒ add 1 to both sides

∴ log x = 1 ⇒ change it to exponential function

∴ [tex]10^{1}=x[/tex]

∴ x = 10

* The x-intercept = (10 , 0)

* ∵ f(x) = -(log x - 2)

- To find the x-intercept put y = 0

∴ -(log x - 2) = 0 ⇒ Multiply both sides by -1

∴ log x - 2 = 0 ⇒ add 2 to the both sides

∴ log x = 2 ⇒ change it to exponential function

∴ [tex]10^{2}=(x)[/tex]

∴ x = 100

* The x-intercept = (100 , 0)

* ∵ f(x) = log (-x - 2)

- To find the x-intercept put y = 0

∴ log (-x - 2) = 0 ⇒ change it to exponential function

∴ [tex]10^{0}=(-x-2)[/tex] ⇒ any number to the power of zero = 1 except 0

∴ -x - 2 = 1 ⇒ add 2 to the both sides

∴ -x = 3 ⇒ multiply both sides by -1

∴ x = -3

* The x-intercept = (-3 , 0)

* ∵ f(x) = -log -(x - 1)

- To find the x-intercept put y = 0

∴ -log -(x - 1) = 0 ⇒ multiply both sides by -1

∴ log -(x - 1) = 0 ⇒ change it to exponential function

∴ [tex]10^{0}=-(x-1)[/tex] ⇒ any number to the power of zero = 1 except 0

∴ -(x - 1) = 1 ⇒ multiply both sides by -1

∴ x - 1 = -1 ⇒ add 1 to both sides

∴ x = 0

* The x-intercept = (0 , 0)

Answer:

Please mark as Brainliest :)

Step-by-step explanation:

Answer: -10c-20

Step-by-step explanation:

Equation: -8c - 17 - 2c - 3

First, you factor -8c+17+ -2c+ -3

Then, combine like terms: (-8c+ -2c)+(-17+ -3)

Answer: -10c - 20

The correct answer would be a, because the left side of the graph indicates that the y axis represents how many customers and since it says 7.pm in the question, it would be choice A

Answer:

75% of the original paper’s size.

Step-by-step explanation:

Let’s say that the original size was 10 inches.

You then increase it by 50%. It is now 15 inches.

Now, you decrease it by 50%. 50% of 15 is 7.5. So, the paper is now 7.5 inches.

7.5 inches is 75% of the original paper size.

I hope I helped!

Let me know if you need anything else!

~ Zoe

Answer:

Smaller than you started with.

Answer:

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Step-by-step explanation:

Given,

CGPA = 2.75

Credit hours = 105

Last semester GPA = 4

Last semester credit hours = 15

CGPA = [tex]\frac{sum of (Credit hours of each subject * GPA of each subject)}{Total credit hours}[/tex]credit hours * gpa

in our case, it would be:

CGPA = [tex]\frac{(2.75*105)+(4*15}{105+15}[/tex]

=> [tex]\frac{(288.75)+(60)}{120}[/tex]

=> [tex]\frac{348.75}{120}[/tex]

=> 2.90

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Answer:

0

3

9

Step-by-step explanation:

0 has no opposite

-3 = 3

-9 = 9

Answer:

[tex]\large\boxed{(3x-8)+(2x+5)-(4x-8)=x+5}[/tex]

Step-by-step explanation:

[tex](3x-8)+(2x+5)-(4x-8)\\\\=3x-8+2x+5-4x-(-8)\\\\=3x-8+2x+5-4x+8\qquad\text{combine like terms}\\\\=(3x+2x-4x)+(-8+5+8)\\\\=x+5[/tex]

To simplify the expression (3x-8)+(2x+5)-(4x-8), distribute the negative sign, combine like terms, and simplify to x+5.

To simplify the expression (3x-8)+(2x+5)-(4x-8), we need to combine like terms. Start by distributing the negative sign in front of the parentheses that contain (4x-8):

(3x-8)+(2x+5)-4x+8

Now, combine the like terms:

3x+2x-4x-8+5+8

Combine similar terms:

1x+5

So, the simplified expression is x+5.

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Answer:80 %

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

4 divided by 5 is 0.8. 0.8 is 80%.

Answer:

F. m/1.05=0.7/1.4

Step-by-step explanation:

The first expression is not true as the side  labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears

Check the picture below.

I think it's c. No solution

The solution for the given system of linear equations is (1, -2), which is not provided in the options given. A possible typo may exist in the options.

This question is asking for the solution to a system of linear equations. The equations were given as 4y − 36 = −12x and 3x + y = −9. To solve this system, we can use the method of substitution or elimination. First, let's rewrite the first equation in terms of x. Dividing each side of 4y - 36 = -12x by -12, we get x = -y/3 + 3. We can then substitute (-y/3 + 3) for x into the second equation, yielding 3(-y/3 + 3) + y = -9. Solving Yields y = -2 and substituting y = -2 into x = -y/3 + 3 gives x = 1. So, the solution to this system is x = 1, y = -2. So the correct answer is (1, -2), which was not provided in the options. It seems there might be a typo in the options provided.

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Answer:

20

Step-by-step explanation:

look at picture and you can add all the numbers becuase i counted the sides

Answer:

q =16

Step-by-step explanation:

q - 7 = 27/3

q = 9 + 7

q = 16

Best regards

Answer:

[tex]\large\boxed{V=366.16\pi\ ft^3}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3[/tex]

Answer:

Fourth option

Step-by-step explanation:

When graphing the given inequalities you will get a region like the one shown in the attached image. This region is delimited by 4 straight

[tex]x = 0\\\\y = 0\\\\9x + 6y = 400\\\\7x + 10y = 400[/tex]

The points indicated at the ends of the region are the maximum possible values of x and y.

We must test these points in the objective function [tex]P = 2x + 2.5y[/tex] and see which point maximizes the value of P.

Remember that the boundaries of the region are not included.

We can prove the point x = 0 and y = 39 because (0,4) is not included in the region.

[tex]P = 2(0) + 2.5(39) = 97.5[/tex]

Now we test the point x = 33 and y = 16

[tex]P = 2(33) + 2.5(16) = 106[/tex]

Now we test the point x = 44 and y = 0

[tex]P = 2(44) + 2.5(0) = 88[/tex]

Finally the optimal value is:

x = 33 oz

y = 16 oz

With a gain of $106