Solve 5x + 7 > 17.

{x | x < 2}
{x | x > 2}
{x | x < -2}
{x | x > -2}

Answer:

Final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].

Step-by-step explanation:

Given equation is [tex]9x^2+24x+20=4[/tex].

Now we need to solve that by factoring.

[tex]9x^2+24x+20=4[/tex]

[tex]9x^2+24x+20-4=0[/tex]

[tex]9x^2+24x+16=0[/tex]

[tex]9x^2+12x+12x+16=0[/tex]

[tex]3x(3x+4)+4(3x+4)=0[/tex]

[tex](3x+4)(3x+4)=0[/tex]

[tex](3x+4)=0[/tex], [tex](3x+4)=0[/tex]

[tex]3x+4=0[/tex], [tex]3x+4=0[/tex]

[tex]3x=-4[/tex], [tex]3x=-4[/tex]

[tex]x=-\frac{4}{3}[/tex], [tex]x=-\frac{4}{3}[/tex]

Hence final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].

Answer:

The last expression is correct

Step-by-step explanation:

We have been given the following expression for simplification;

[tex]4^{4}*4^{-9}[/tex]

The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;

4 and -9

adding them we have;

4 + (-9) = -5

The simplified expression thus becomes;

[tex]4^{-5}=\frac{1}{4^{5}}[/tex]

Answer:

16.6 in³

Step-by-step explanation:

Given the ratio of similarity = 2 : 3, then

the ratio of volumes = 2³ : 3³ = 8 : 27

let the volume of prism A be x then by proportion

[tex]\frac{x}{8}[/tex] = [tex]\frac{56}{27}[/tex] ( cross- multiply )

27x = 448 ( divide both sides by 27 )

x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )

Prism A has a volume of approx 16.6 in³

Answer:

10(512) = 5,120

8f = 5,120

f = 640 cycles per second

Answer:

66,681 rounded to the nearest ten-thousand would be equal to 70,000.

Step-by-step explanation:

any time the number is higher than 5 you round up but if not you round down! i hope this helps!

70,000

When you round you find whatever your rounding, like for this your rounding to the nearest ten thousand, heres a random one thats simple:

89,000 rounded to nearest ten thousand.

If its its higher than 5 then you round up, if its 4 or lower you round down.

so for 89,000 its 90,000.

But for u answer its 70,000 :3

Yw, goodbye hooman who exists

Answer:

{Q = -(3 P)/2, Q = -6 P}

Step-by

-step explanation:

Answer:

Option. A

Step-by-step explanation:

Covert Ounces to Pounds, or vice versa, I went with pounds.

1323 ounces = 82 pounds.

find the pound to dollar rate

A; 82 ÷ 410.13 = about 5

B; 8 ÷ 78.08 = 9.76

The better buy is A. 1,323 ounces of topsoil for $410.13.

To determine which is the better buy, we need to calculate the price per ounce for both options and then compare them.

First, let's calculate the price per ounce for option A:

1,323 ounces of topsoil for $410.13.

Price per ounce for A = $410.13 / 1,323 ounces.

Now, let's calculate the price per ounce for option B:

Since 1 pound is equal to 16 ounces, 8 pounds of topsoil is equal to

8 × 16 = 128 ounces.

8 pounds of topsoil for $78.08.

Price per ounce for B = $78.08 / 128 ounces.

Next, we compare the price per ounce for both options:

Price per ounce for A = $410.13 / 1,323 ounces  $0.310 / ounce.

Price per ounce for B = $78.08 / 128 ounces  $0.609 / ounce.

Since the price per ounce for option A ($0.310) is less than the price per ounce for option B ($0.609), option A is the better buy. The customer gets more topsoil for their money with option A.

Answer:

There is not an outlier

Step-by-step explanation:

All the numbers are close together and do not have a big difference from each other

The outlier in the given series of numbers (20, 21, 23, 23, 25, 29, 32, 33) is the number 20, as it deviates significantly from the rest of the data points.

In the series given (20, 21, 23, 23, 25, 29, 32, 33), the term that appears to be an outlier is the number 20. An outlier in a number series is a number that is significantly different from the other numbers in that series. It deviates significantly from the rest of the data points. Most of the numbers in the series are in the twenties or thirties, but 20 is distinctly less than the rest. Therefore, in the given number series, 20 is the outlier.

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Answer: The answer is B the second option. I just took the test.

Step-by-step explanation:

Answer:

2nd Option  is correct.

Step-by-step explanation:

Given Functions:

[tex]y=\frac{-1}{2}x^2+4[/tex]

[tex]y=\frac{-1}{2}x^2-2x+2[/tex]

We need to find which conclusion supported by graph.

From the given, it is clear that both graph intersecting only at one point.

Also, One graph is translation of another graph.

So, the equation [tex]\frac{-1}{2}x^2+4=\frac{-1}{2}x^2-2x+2[/tex] has only one solution.

Therefore, 2nd Option  is correct.

Answer:

D. 20%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

The new number is the increased price, $42, and the old number is the original price, $35.

percent change = ($42 - $35)/($35) * 100%

percent change = ($7)/($35 min) * 100%

percent change = 0.20 * 100%

percent change = 20%

Since the percent change is a positive number, it is a percent increase.

The percent increase was 20%.

Answer: D. 20%

$26,250. 630,000 ÷ 24 =26250

Answer: 630,000 / 24= 26250

If you were, for example, to divide $630,000 evenly between you and 24 of your coworkers, you'd each get $26,250.

Hope this helps,

LaciaMelodii :)

Answer:

Step-by-step explanation:

378,903,970.

what we do is, we simply draw the graph for its EQUALITY counterpart, namely  [tex]\bf y=-\cfrac{1}{6}x+1[/tex].

then we check the regions on both sides of the graph, in this case we can check say the point (0,0) for simplicity, and

[tex]\bf y>-\cfrac{1}{6}x+1\qquad (0,0)~~ \begin{cases} x=0\\ y=0 \end{cases}\implies 0>-\cfrac{1}{6}(0)+1\implies 0>1[/tex]

now, is 0 > 1? is 0 really greater than 1? nope, is smaller, thus the area where the point (0, 0) is at is the false region, so that's the area we do NOT shade, thus the other region must be the true region and that's the one we shade.

the ">" sign means, that "y" is greater than, NOT equals to but greater, thus the values at the borderline are not included, and thus is a dashed line.

Check the picture below.

Answer:

7

Step-by-step explanation:

all u do is divide the area by the length

56/8

You do 56/8 the answer is 7

Answer:The initial values of the two functions are different, and the rates of change of the two functions are the same.

Step-by-step explanation:

The values will start out different. When you apply the rate of change, because they have the same rate of change, you don't risk them coming out with the same value if the values ended up being just right, they will always remain different.

The differences in the output values for linear function A and function B are a result of varying y-intercepts and slopes in each function. When plotted on a graph, these differences become apparent.

The output values for linear function A and function B will differ because of variations in their respective initial values (or y-intercepts) and their rates of change (or slopes). When you plot these output values against the shared input values as a graph of y as a function of x, these differences can be seen visually. For instance, consider the linear equation y = mx + b, where m represents the slope of the line and b is the y-intercept. If function A and B have different y-intercepts or slopes, the output values will differ for the same set of input values.

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Answer:

A. Obtuse

F. Scalene

Step-by-step explanation:

There are two ways to classify a triangle:

by angles:

Obtuse - has one angle that is greater than 90°

Right - has one angle that is 90°

Acute - has all angles less than 90°

and by side lengths:

Equilateral - all sides are equal

Isosceles - two sides are equal

Scalene - no sides are equal

In this triangle, there is an obtuse angle (A. Obtuse).

∡ = 132°, which is greater than 90°.

There are no equal sides (F. Scalene).

6 ≠ 7 ≠ 11.9

For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]

So:

[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]

Thus, the values are:

24,8, -12

Answer:

24,8, -12

Answer: OPTION C.

Step-by-step explanation:

Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.

For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).

Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.

Therefore, you need to search the option that shown the graph wich contains the point (1,-3).

Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).

This is the graph of the option C.

Answer:

C

Step-by-step explanation:

Answer:  3/4

Step-by-step explanation:

1 1/4 = 4/4 + 1/4 = 5/4

2 = 8/4

8/4 - 5/4 = 3/4

The sum of the angles of any quadrilateral is 360 degrees. This means that you can make a formula like the one bellow and solve for x:

72 + 107 + x + 91 = 360

270 + x = 360

(270 - 270) + x = 360 - 270

x = 90

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x = 90°

Step-by-step explanation:

Angles in a quadrilateral add up to 360°

We are given the following angles : 107°, 72° and 91°

Wee need to find x so,

x + 107° + 72° + 91° = 360°

( Simplify )

x + 270° = 360°

( Minus 270° from both sides to isolate x )

x = 90°

The correct answer is C. 8 - 17i

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

√64 - √-289

= 8 - √-289

= 8 - 17i         ( since (17i)² gives -289)

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Answer: 9 weeks

Step-by-step explanation:

Final answer:

Leonardo will take 9 weeks to fully pay off the $600 ring after making a 10% down payment and weekly payments of $65.

Explanation:

The question is asking how many weeks it will take Leonardo to pay off a ring valued at $600 with a 10% down payment and subsequent weekly payments of $65.

First, calculate the down payment Leonardo makes: 10% of $600 equals $60. Subtract the down payment from the original price to find out the remaining amount Leonardo has to pay, which is $600 - $60 = $540.

Next, divide the remaining amount by the weekly payment: $540 divided by $65 per week equals approximately 8.31, which rounds up to 9 weeks since you can't make a fraction of a payment.

Therefore, it will take Leonardo 9 full weeks to pay off the ring.

If the equation is

[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]

that's true for all s, since 3/2+1=5/2

So all of them result in true statements

Answer: All of the above

Let's just do one for yuks, s=5.

(5/2) s = 25/2

(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2  

That checks.

The best next step in the construction of the perpendicular bisector of AB is C. Use a straightedge to draw a line segment that connects the vertices of the two equilateral triangles that coincide with the intersections of the circles.

Perpendicular bisector is defined as the perpendicular line which bisects another line or an angle.

Given a line AB.

There are also two intersecting circles and two equilateral triangles joining the line AB with the intersecting points.

We have to draw a perpendicular bisector to AB.

We can draw perpendicular bisector by connecting the intersecting points of the circles.

Hence the correct option is C.

Learn more about Perpendicular Bisectors here :

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Final answer:

To construct the perpendicular bisector of AB, connect the intersections of the circles drawn from A and B with the same radius using a straightedge.

Explanation:

The student has asked what the best next step is in the construction of the perpendicular bisector of a line segment AB. The correct answer is C, which states that you should use a straightedge to draw a line segment that connects the intersections of the circles. This will create the perpendicular bisector of AB. The process involves drawing two circles with the same radius from points A and B, such that each circle goes through the other point, and then connecting the two points where the circles intersect with a straight line. This line will be the perpendicular bisector because it will be perpendicular to AB and divide it into two equal parts, hence bisecting AB.

The answer is:

Anna will need 27 posts.

To calculate how many post does she need to place at the corners and every 2 feet around, we need to calculate the perimeter of the garden plot.

So, we can calculate the perimeter of the garden plot (rectangle) using the following formula:

[tex]Perimeter=2height+2width[/tex]

We know that:

[tex]height=9ft\\width=18ft[/tex]

Then, calculating the perimeter of the garden plot, we have:

[tex]Perimeter=2height+2width[/tex]

[tex]Perimeter=2*9ft+2*18ft=18ft+36ft=54ft[/tex]

Now, calculating how many post she will need, we have:

[tex]No.Post=\frac{Perimeter}{DistanceBetweenPost}\\\\\frac{54feet}{2feet}=27posts[/tex]

Hence, we have that Anna will need 27 posts.

On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).

On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).

The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18

Answer:

.5x = 3x + 15

-2.5 x = 15

x = -6

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

7x^2−3x+5x−6

=7x^2+−3x+5x+−6

Combine Like Terms:

=7x^2+−3x+5x+−6

=(7x^2+2x+−6 )

Answer:

=7x^2+2x−6

Final answer:

The sum of (7x² - 3x) and (5x - 6) is found by combining like terms, resulting in 7x² + 2x - 6, which is option C.

Explanation:

To solve the algebraic addition (7x²-3x) + (5x-6), you need to combine like terms.

First, identify and group like terms from both expressions. Like terms are those that have the same variable raised to the same power.

Combine the coefficients (numerical values) for each group of like terms.

Now, let's go through each step:

For the x2 terms: 7x2 (from the first polynomial) has no like term in the second polynomial, so it remains as is.

For the x terms: -3x (from the first polynomial) and +5x (from the second polynomial) combine to give 2x.

Lastly, the constant terms: -6 (from the second polynomial) also has no like term in the first polynomial, so it remains as is.

By combining these, the result is 7x² + 2x - 6, which corresponds to option C.

Answer:

The markup percentage of the IPhone 7 is  $218.18%.

Step-by-step explanation:

The IPhone 7 costs for Apple to make = $220

The cost in stores = $700

The difference between costing price and selling price = 700 -220 = $480

The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100

= $218.18

The markup percentage of the IPhone 7 is  $218.18%.

The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.

The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.

To calculate the markup percentage of the iPhone 7:

Therefore, the markup percentage of the iPhone 7 is 218%.

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Answer:

the answer is 14 cents

Step-by-step explanation:

12 time 4 equal 48 ( this is converting the feet into inches)

48 divided by 6.72  to get 0.14

Answer:

$0.14

Step-by-step explanation:

There are 12 inch in 1 foot.

You are given 4 foot. Find the amount of inch in 4 feet.

1 ft x 12 in/ft = 12 in

4 ft x 12 in/ft = 48 in

There are 48 in. in 4 ft. Divide 48 from $6.72

(6.72)/48 = $0.14

$0.14 is the price per inch.

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