Use the vertical line test to determine if the graph is a graph of a function.
A) Yes
B) No

Answer:

2(x + 4)(x − 3)

Step-by-step explanation:

Hope it helped you

Answer:

2(x + 4)(x - 3)

Step-by-step explanation:

Given

2x² + 2x - 24 ← factor out 2 from each term

= 2(x² + x - 12)

To factor the quadratic

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)

The factors are + 4 and - 3, since

4 × - 3 = - 12 and 4 - 3 = + 1, thus

x² + x - 12 = (x + 4)(x - 3) and

2x² + 2x - 24 = 2(x + 4)(x - 3)

29 out of 40 as a percentage is simply 29 divided by 40 (29/40): 0.725 = 72.5%

126 out of 200 as a percentage is the same process = 63%

Hope this helps!! :)

29 out of 40 as a percentage

126 out of 200 as a percentage is 63%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To express 29 out of 40 as a percentage:

(29/40) * 100 = 72.5%

Thus, 29 out of 40 as a percentage is 72.5%.

To express 126 out of 200 as a percentage:

(126/200) * 100 = 63%

Thus, 126 out of 200 as a percentage is 63%.

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Answer:

381.051178

Step-by-step explanation:

222 (tan) 60=381.051178

The height of the tree is 381.05 ft.

Given distance of man from the bottom of the tree is 220 ft.

Let height of the tree be x ft.

Now we have to look up at a 60 degree angle to see the top of the tree.

So we can write in trigonometric ratio form, [tex]tan60= \frac{perpendicular}{base}[/tex]

[tex]\sqrt{3} =\frac{x}{220}[/tex]   ( tan 60=[tex]\sqrt{3}[/tex])

[tex]x= 220\times\sqrt{3}[/tex]

[tex]x= 381.05 ft[/tex]

The height of the tree is 381.05 ft.

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Answer:

2. 6j^2 + 3

Step-by-step explanation:

Answer:

79%

Step-by-step explanation:

The probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32 is 0.7881 = 78.81%

When the distribution is normal, we use the z-score formula.

In a set with mean  [tex]\mu[/tex]and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu=28,\sigma=5[/tex]

Find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

This is the p-value of Z when X = 32. So

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]Z=\frac{32-28}{5}[/tex]

[tex]Z=0.8[/tex]

Z=0.8 has a p-value of 0.7881

0.7881 = 78.81% probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

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Answer:

5) 140.8m^2   6) 360in^2

Step-by-step explanation:

5.

6.4 x 6.4 = 40.96

(7.8 x 6.4) ÷ 2 = 24.96

24.96 x 4 = 99.84

99.84 + 40.96 = 140.8m^2

6.

12 x 10 = 120in

13 x 10 = 130in

5 x 10 = 50in

(12 x 5) ÷ 2 = 30in

30 x 2 = 60in

60 + 50 + 130 + 120 = 360in^2

Answer:

320 cubic cm

Step-by-step explanation:

To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.

First step is to calculate the area of the shape.  We all know the formula to calculate the area of a triangle: (b x h)/2.  And we those two measures.  The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).

A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm

Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.

V = b * h = 40 * 8 = 320 cubic cm

Answer:

320

Step-by-step explanation:

The volume of a prism is the height times the area of the base.

V = hA

The base is a triangle.  The volume of a triangle is half the base times height.

V = h (½ ab)

Given a = 10, b = 8, and h = 8:

V = ½ (8) (10) (8)

V = 320

Answer:

72 sq. inch.

Step-by-step explanation:

9 inches in feet is 9/12 = 0.75 feet.

We can set up a ratio to figure out the width of the scale drawing.

[tex]\frac{36}{0.75}=\frac{32}{x}[/tex]

This means "if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"

let's cross multiply and solve for x:

[tex]\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}[/tex]

So width is 2/3 feet and length is 0.75 feet.

Converting back to inches (since we need the area in sq. inches):

2/3 feet = 2/3 * 12 = 8 inches, and

0.75 feet = 0.75 * 12 = 9 inches

Hence, area is 8 * 9 = 72 sq. inches.

Answer:

1/6, 1/3, 2/3

Step-by-step explanation:

Given data:

The sum of the first three terms of a finite geometric series is7/6 and their product 1/27 is .

Let a/r , a and ar be the three terms of a finite geometric series then:

a/r + a + ar = 7/6

and

(a/r) x (a) x (ar) = 1/27

Now first solving for a:

solving second equation

a^3r/r = 1/27

a^3= 1/27

a = 1/[tex]\sqrt[3]{27}[/tex]

a=1/3

Now solving for r:

Solving first equation

 a/r + a + ar = 7/6

Putting value of a= 3 in above equation

1/3r + 1/3 + r/3 = 7/6

(1+r+r^2)/3r= 7/6

6(1+r+r^2)= 7(3r)

6+ 6r+ 6r^2= 21r

6r^2 - 15r +6=0

r=2

Hence the first three terms of a finite geometric series are

a/r= (1/3)/(2)

    = 1/6

a= 1/3

ar= 1/3 (2)

   =2/3 !

Answer:

Estimated cost; $9

Exact amount; $9.69

Step-by-step explanation:

We are told that ​Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg.

a.

We are required to estimate the cost of the 3/4 kg of cocoa powder given that 1 kg costs 12.92

We can round down the cost of a kg to obtain $12 per kg. Therefore, 3/4 of a kg will cost approximately;

(3/4) of 12

= (3/4)*12 = $9

Thus the estimated cost is $9

b.

We are required to determine the the exact amount she had to pay for the 3/4 kg of cocoa powder;

1 kg cost 12.92

3/4 of a kg will cost;

(3/4) of 12.92

= (3/4) * 12.92

Using a calculator we have;

9.69

Therefore, the exact amount paid was $9.69

Answer:

Part a) The estimate cost is about $9

Part b) The exact cost is $9.69

Step-by-step explanation:

we know that

Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg

Part a

To find the estimate cost round the numbers and multiply

we have

[tex]\$12.92=\$12[/tex] -----> round down

so

[tex]\frac{3}{4}(12)=\$9[/tex]

Part b

To find the exact amount she had to pay, multiply 3/4 by $12.92

so

[tex]\frac{3}{4}(12.92)=\$9.69[/tex] ----> exact value

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. ΔABC denotes a triangle with vertices A, B, and C.

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

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Answer:

Is this a question?

Step-by-step explanation:

You're correct, but this isn't a question...

The answer to this problem is 0.80

The square root of 7/11 is 0.240522846.

Answer:

A

Step-by-step explanation:

?? That a tuff one.hope u find the answer soon

$9.95 - 30% = $6.97

Answer:

10y + 2

Step-by-step explanation:

The formula for the perimeter of a rectangle or square is [length + length + width + width = perimeter  or  2(length) + 2(width) = perimeter]

Our length here is y + 2. Either formula you use, [(y+2) + (y+2) or 2(y+2)] you should get the answer 2y + 4.

Next our width. The width is 4y-1. Either formula you use, [(4y-1) + (4y-1) or 2(4y-1)] you should get 8y - 2.

Then, simply add (2y+4) and (8y-2) to get 10y + 2. So, the perimeter of the garden is 10y + 2.

I hope this helps!

Answer:

SPED

Step-by-step explanation:

STEP 1. YOU GOT THAT COVERED

STEP 2. GOOGLE SPED CAUSE YOU PROLLY DONT EVEN KNOW WHAT THAT IS

Answer:

2x³ + x² - 14x - 7

Step-by-step explanation:

The product of f(x) and g(x) is

(2x + 1)(x² - 7)

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

2x(x² - 7) + 1 (x² - 7) ← distribute both parenthesis

= 2x³ - 14x + x² - 7

= 2x³ + x² - 14x - 7 ← in standard form

[tex]

5(6\times2y+y)+3y(-2\times2-5) \\

5(12y+y)+3y(-4-5) \\

60y+5y+3y(-9) \\

60y+5y-27y \\

60y-22y \\

\boxed{38y}

[/tex]

Answer:

42 apples altogether; $70

Step-by-step explanation:

If 3/7 of the apples in a box are red, that means 4/7 of the apples in the box are green. This means that (4/7)x=24 (x=number of apples altogether), since 24 of the apples are green. The equation can then be solved by dividing 24 by 4/7, giving us 42.

x=42

If Josh spent 2/5 of his money and had $42 dollars, $42 would be 3/5 of his money. This means that (3/5)x=42 (x= amount of money he started with). The equation can be solved by dividing 42 by 3/5, which gives us 70.

x=70

there were 42 apples in total and josh initially had $70.

Let the total number of apples be x. Therefore, [tex]\frac{4}{7}[/tex] of x are green apples, and this equals 24:

[tex]\frac{4}{7} \times x = 24[/tex]

We can solve for x as follows:

[tex]x = 24 \times \frac{7}{4}\\\\x = 42[/tex]

So, there are 42 apples in total.

Let y represent the total amount of money Josh had initially. According to the problem, after spending [tex]\frac{2}{5}[/tex] of his money, he had [tex]\frac{3}{5}[/tex] remaining, which equals $42:

[tex]\frac{3}{5} \times y = 42[/tex]

Now we can solve for y as follows:

[tex]y = 42 \times \frac{5}{3}\\\\y = 70[/tex]

Josh initially had $70.

So, there were 42 apples in total and josh initially had $70.

Answer:

137.5 miles

Step-by-step explanation:

1. Do 55/2 to account for the half hour.(should equal 27.5)

2. Do 55 x 2 to account for the 2 hour drive.(should equal 110)

3. Add everything up. 110 + 27.5 = 137.5 miles

ANSWER

137.5kmi

EXPLANATION

The relation between speed , time and distance is given by the relation:

[tex]speed = \frac{distance}{time} [/tex]

Therefore

Distance= speed × time

John was traveling at a speed of 55mph

for 2 ½ hours.

The distance covered will be:

=55×2.5mi

=137.5mi

Step-by-step explanation:

[tex]\begin{array}{ccc}1&-&d\\2&-&c\\3&-&a\\4&-&b\\5&-&f\\6&-&e\end{array}[/tex]

Value 1:

r = 5ft, h = 10ft. Substitute:

[tex]SA=2\pi(5)(10)+2\pi(5^2)=100\pi+50\pi=150\pi\ ft^2[/tex]

Value 2:

r = 2in, h = 4in. Substitute:

[tex]V=\dfrac{1}{3}\pi(2^2)(4)=\dfrac{1}{3}\pi(4)(4)=\dfrac{16\pi}{3}\\\\\pi\approzx3.14\to V\approx\dfrac{(16)(3.14)}{3}\approx16.75\ in^3[/tex]

Value 3:

r = 6m. Substitute:

[tex]V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi\ m^3\\\\\pi\approx3.14\to V\approx288(3.14)=904.32\ m^3[/tex]

Answer:

a

Step-by-step explanation:

8950.1 / 10000 = 0.89501...

1000 x 10 = 10000, so you’ll need to divide 8950.1 1000 times!

Answer:

Step-by-step explanation:

graph y = 1/3x + 1/2  

the slope is 1/3

y intercept is 1/2 ( that would be on the y axis)

slope would be 1/3 . ..up one over three

plot points starting with 1/2 . . and then move the points up one over three

with Y less than that line . . .it would have to move to the right on the number line . . .so you shade the right hand side of the line on the graph

Answer:

m(ARC)EHL: 108°

m(ARC)LVE: 252°

Step-by-step explanation:

Hey, so initially, we should start off with some stuff:

The sum of the arcs add up to 360°

m∠EYL=72°

We can create a system and use substitution to find the measure of an arc we don't know.

Step 1: We can use the 'Secants exterior angle theorem' to help us find the measure of (ARC)EHL.

<EYL=1/2((ARC)EVL-[ARC]EHL) (the theorem)

Step 2: By using substitution, we can say that (ARC)EVL=360°-(ARC)EHL

Thus, when we substitute it back into the theorem, the answer will be <EYL=1/2((360°-(ARC)EHL)-(ARC)EHL)=72°

Step 3: When we solve this out (and you can replace (ARC)EHL with x when solving), you will get an answer of x=108° or (ARC)EHL=108°.

Step 4: (ARC)LVE will be equal to 360°-m(ARC)EHL, which, when we substitute, will be 360°-108°, which will come out to be 252°.

Therefore, by algebra, substitution, and part-whole-postulate, (ARC) LVE=252°.

This is right, this was one of my problems for my 8th grade RSM online homework :)

Answer: All of them besides 2/9

Step-by-step explanation:

2/3 equels 6/9 and 8/12. That first explanation is for the last to answers.

The first 2 have numerators greater than the denominator.

Answer:

(a) [tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

(b) [tex](x-1) ^ 2 + y ^ 2 = 1[/tex]

Step-by-step explanation:

Remember that to convert from polar to rectangular coordinates you must use the relationship:

[tex]x = rcos(\theta)[/tex]

[tex]y = rsin(\theta)[/tex]

[tex]x ^ 2 + y ^ 2 = r ^ 2[/tex]

In this case we have the following equations in polar coordinates.

(a) [tex]r = 6[/tex].

Note that in this equation the radius is constant, it does not  depend on [tex]\theta[/tex].

As [tex]r ^ 2 = x ^ 2 + y ^ 2[/tex]

Then we replace the value of the radius in the equation and we have to::

[tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

Then [tex]r = 6[/tex] in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].

(b) [tex]r = 2cos(\theta)[/tex]

The radius is not constant, the radius depends on [tex]\theta[/tex].

To convert this equation to rectangular coordinates we write

[tex]r = 2cos(\theta)[/tex]     Multiply both sides of the equality by r.

[tex]r ^ 2 = 2 *rcos(\theta)[/tex]    remember that [tex]x = rcos(\theta)[/tex], then:

[tex]r ^ 2 = 2x[/tex]        remember that [tex]x ^ 2 + y ^ 2 = r ^ 2[/tex], then:

[tex]x ^ 2 + y ^ 2 = 2x[/tex]         Simplify the expression.

[tex]x ^ 2 -2x + y ^ 2 = 0[/tex]     Complete the square.

[tex]x ^ 2 -2x + 1 + y ^ 2 = 1[/tex]

[tex](x-1) ^ 2 + y ^ 2 = 1[/tex]  It is a circle centered on the point (1, 0) and with radio [tex]r=1[/tex]

Answer:

B

Step-by-step explanation:

An equation that represents the graph of g(x) include the following: B. [tex]g(x)=\sqrt[3]{x+2}[/tex].

In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, and for the same distance.

Based on the information provided in the diagram, we have the following:

(x, y)       →    (x + h, y + k)

(0, 0)     →    (-2, 0).

-2 = x + h

-2 = 0 + h

h = 0 - 2

h = -2 (2 units left)

0 = y + k

0 = 0 + k

k = 0.

In conclusion, a horizontal translation of 2 units to the left would map the parent cubic function f(x) to the transformed cubic function g(x);

g(x) = f(x + 2)

[tex]g(x)=\sqrt[3]{x+2}[/tex]

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Complete Question:

The graph of [tex]f(x) =\sqrt[3]{x}[/tex] is shown with g(x). Which equation represents the graph of g(x)?

[tex]g(x)=\sqrt[3]{x-2} \\\\g(x)=\sqrt[3]{x+2} \\\\g(x)=\sqrt[3]{x} +1\\\\g(x)=\sqrt[3]{x} -1[/tex]

B: -5x + 5y - 5

Hope this is the answer you're looking for (:

2x - 8x - 6y + 9 - 14 + x + 11y

-6x + x - 6y + 11y - 5

-5x + 5y - 5

So the answer should be B

Answer:

Small box weighs 13.75 kg & large box weighs 15.75 kg

Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

Let weight of large box be l and small box be s.

"3 large boxes and  5 small boxes has a total weight of  116 kilograms":

[tex]3l+5s=116[/tex]

and

"9 large boxes and  7 small boxes has a total weight of  238 kilograms":

[tex]9l+7s=238[/tex]

Now we can solve for l in the 1st equation and put it into 2nd equation and get s:

[tex]3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}[/tex]

now,

[tex]9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75[/tex]

now we plug in 13.75 into s into equation of l to find s:

[tex]l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75[/tex]