If x = 1 is a zero of the polynomial x3 – 7x + 6, find the other two zeroes.

Answer:

x - 2y = - 14

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given y - 6 = [tex]\frac{1}{2}[/tex](x + 2)

multiply all terms by 2 to eliminate the fraction

2y - 12 = x + 2 ( subtract 2 from both sides )

2y - 14 = x ( subtract 2y from both sides )

- 14 = x - 2y, hence

x - 2y = - 14 ← in standard form

Put the value of x = 4 to the expression 3x + 2.

(3)(4) + 2

first multiplication and next addition

= 12 + 2 = 14

Answer:

b) 8.5 feet

Step-by-step explanation:

Answer:

Answer is 9.6

Step-by-step explanation:

From the illustration above. See attachment for interpretation of this illustration.

To find the part label a in the attachment which is the length of the foot of the guide wire from the ground to the palm tree, we apply the sine rule, which says

a/sineA = b/sineB

In this case

a = ? , A = 58° , b = 6ft, B = 32°

So

a/sine58 = 6/sine32

a/0.848 = 6/0.5299

a = 6*0.848/0.5299

a = 5.088/0.5299

a = 9.601 ~ 9.6

Answer:

Step-by-step explanation:

0.123

2.13

2.31

3.12

That is least to greatest. I hope I answered your ?. Can you help me?

Answer:

0.123, 2.13, 2.31, 3.12

Step-by-step explanation:

look at first number and put those in order.

with both numbers that start with 2, look at the next number and put the lowest one first

x = 8.5 + 2.5y answer one can’t figure out answer two. Sorry

Answer:

{x = 1 , y = 3

Step-by-step explanation:

Solve the following system: using elimination:

{2 x + 5 y = 17 | (equation 1)

{6 x - 5 y = -9 | (equation 2)

Swap equation 1 with equation 2:

{6 x - 5 y = -9 | (equation 1)

{2 x + 5 y = 17 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{6 x - 5 y = -9 | (equation 1)

{0 x+(20 y)/3 = 20 | (equation 2)

Multiply equation 2 by 3/20:

{6 x - 5 y = -9 | (equation 1)

{0 x+y = 3 | (equation 2)

Add 5 × (equation 2) to equation 1:

{6 x+0 y = 6 | (equation 1)

{0 x+y = 3 | (equation 2)

Divide equation 1 by 6:

{x+0 y = 1 | (equation 1)

{0 x+y = 3 | (equation 2)

Collect results:

Answer:  {x = 1 , y = 3

Answer:

1 2/3

Step-by-step explanation:

well first reduce it which would be 5/3 since the greatest common denominator would be 4. Then put 3 in the 5 which goes only once and 2 is left over. Keep the threeas the denominator instead of the numerator.

Answer:

12) -60/1 =60

14) 110

16)45

18) 7

32) -18

Step-by-step explanation:

Answer:

770

Step-by-step explanation:

3.5 x 220 = 770

770/3.5 = 220

770/220 = 3.5

To find what 3.5 multiplied by 220 is, you simply multiply the two numbers together to get 770. This can be related to weight calculations in personal training contexts.

This question demands basic understanding of mathematical operations (addition, subtraction, multiplication, division) in general and about multiplication in particular.

The question What's 3.5 x 220? is asking for the product of the two numbers, 3.5 and 220, which is a mathematics calculation. To find the answer, you multiply 3.5 by 220, which equals 770.

Another way is to find 350% of 220 which means 350/100 * 220 = 770

This calculation is relevant for the student's personal training classes, potentially relating to the amount of weight lifted or the calculation of potential energy.

Therefore, as per the above explaination, the correct answer is 770.

Answer:

[tex]1-4x[/tex]

Step-by-step explanation:

A product of two numbers is the result we get from multiplying them together. The product of 4 and x would then be [tex]4\times x[/tex], which we can rewrite as [tex]4x[/tex]. We're then told by the statement "one minus the product..." that we'll be taking this [tex]4x[/tex] away from 1, giving us the answer [tex]1-4x[/tex].

Answer:

The numerical expression would be 1-4x

Step-by-step explanation:

[One] - [minus] [the product of]  

4 and  x is the product of 4 and 4.x

Answer:

Correct choice is D

Step-by-step explanation:

The graph of the function shows that the function is not continuous at point x=3.

When moving to the point x=3 from the left side, you can see that y approaches to -1. When moving to the point x=3 from the right side, then y approaches to -3 and at x=3, y=7. This gives you that the limit doesn't exist.

Answer:

side of the mosaic  = 7 inches

Step-by-step explanation:

Diego has 49 square inch tiles. He wants to use to make a square mosaic.

Area of the tile = 49 square inches

We know , area of the square = s^2

where 's' is the side of the square

[tex]Area = s^2[/tex]

Plug in 49 for area  and solve for 's'

[tex]49 = s^2[/tex]

Take square root on both sides

s= 7

side of the square = 7 inches

Diego can make a square mosaic where each side is 7 inches using his 49 square-inch tiles. This is found by calculating the square root of the total area.

The subject of this question is Mathematics, specifically dealing with square roots and area calculations. Diego has 49 square inch tiles and wants to make a square mosaic. Since a square has equal sides, the length of each side of the mosaic will be the square root of the total area. The total area of the tiles is 49 square inches. The square root of 49 is 7. Therefore, each side of Diego's mosaic will be 7 inches in length. This conclusion is reached by understanding how the area of a square works. The area of a square can be calculated by multiplying the length of one side by the length of another side. When we know the total area, we can find the length of one side by taking the square root.

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Answer:

PT, VP

Step-by-step explanation:

if p is the center and T V and W are on the circle

the radius goes from the center of the circle to the edge of the circle

then PW PT and PW are radii of the circle

Question

Find 1/8 of 12. Express your answer in simplest form.

1 1/2

2/3

1/96

12/8

Answer:

Step-by-step explanation:

12 : 8 = 1.5 (1 1/2)

To find 1/8 of 12, multiply 12 by 1/8 and simplify the fraction to its simplest form, which is 3/2.

To find 1/8 of 12, we can multiply 12 by 1/8. Multiplying fractions is done by multiplying the numerators together and multiplying the denominators together. In this case, 12 multiplied by 1 equals 12, and 8 multiplied by 1 equals 8, so the answer is 12/8.

However, 12/8 is not in simplest form because the numerator and denominator have a common factor of 4. To simplify the fraction, we divide both the numerator and denominator by 4. 12 divided by 4 is 3, and 8 divided by 4 is 2. So, the simplest form of 12/8 is 3/2.

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The answer is 12

i hope this helps

Answer:

the answer is 12 units squared

Step-by-step explanation:

count the boxes and add the halves together.

Hope this helps :)

Let the smaller number = X

Then the larger number is 3x+4 ( four more than 3 times the smaller number)

The sum of both numbers = 80

so you have X + 3X+4 = 80

Simplify the left side:

4x+4 = 80

Subtract 4 from each side:

4x = 76

Divide both sides by 4:

X = 76/4

X = 19

The smallest number is 19

The largest number is 80 - 19 = 61 ( check: 3*19 = 57+4 = 61)

The two numbers are 19 and 61

Answer:

31/100

Step-by-step explanation:

From the given table

Reading books percentage is 22

so Probability (reading books) = [tex]\frac{22}{100}[/tex]

Surf the internet percentage is 9

Probability (surf the internet) =[tex]\frac{9}{100}[/tex]

the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)

probability (reading or surf)=  [tex]\frac{22}{100} +\frac{9}{100}[/tex]

=  [tex]\frac{31}{100} [/tex]

Answer:

Answer is [tex]\frac{31}{100}[/tex]

Step-by-step explanation:

values given in table

Reading books percentage is 22

hence we can write probability as

Probability (reading books) = [tex]\frac{22}{100}[/tex]

percentage of surfing internet is= 9

Probability  of surfing internet is =[tex]\frac{09}{100}[/tex]

the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)

probability (reading or surf)=  [tex]\frac{22}{100}[/tex]+[tex]\frac{09}{100}[/tex]

=[tex]\frac{31}{100}[/tex]

Answer:

angle(TSW) is 18

Step-by-step explanation:

we are given angles

angle(RST)=2x+8

angle(TSW)=3x+14

angle(RSW)=7x-2

Firstly, we will draw diagram

so, we get

angle(TSW)=angle(RST)+angle(RSW)

so, we can plug values

[tex]3x+14=2x+8+7x-2[/tex]

now, we can solve for x

[tex]9x-3x=14-6[/tex]

[tex]6x=8[/tex]

now, we can solve for x

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

now, we can find angle (TSW)

angle(TSW) is

[tex]=3\times \frac{4}{3} +14[/tex]

[tex]=4 +14[/tex]

[tex]=18[/tex]

So, angle(TSW) is 18

To solve for x, we set up an equation based on the sum of angles forming a straight line. Solving the equation, we find x=12. Substituting x into the equation for angle tsw, we find that angle tsw measures 50 degrees.

To find the value of x for the angles rst, tsw, and rsw, you need to understand that they are all connected by their location on a straight line or a point. If angles rst and tsw are adjacent angles that form a straight line, their measures would add up to 180° because a straight line measures 180°. The same is true for the angle rsw if it is the full angle at that point or the sum of angles rst and tsw.

The equations are given as:

Since angle rsw is the full angle, you can write the equation:

7x - 2 = (2x + 8) + (3x + 14)

Now, solve for x:

7x - 2 = 2x + 8 + 3x + 14

7x - 2 = 5x + 22

7x - 5x = 22 + 2

2x = 24

x = 24 / 2

x = 12

Now that we have the value of x, we can find angle tsw by substituting x into its equation:

angle tsw = 3x + 14

angle tsw = 3(12) + 14

angle tsw = 36 + 14

angle tsw = 50°

Answer:

Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

900/7 = 129.57 which is slightly off because it is a rounded error.

In general, the size of the angles  in a  regular polygon

180(n - 2 ) / n

Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get

180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

Answer:

see explanation

Step-by-step explanation:

to find the intercepts, that is where the line crosses the x and y axes

• let x = 0, in the equation for the y-intercept

• let y = 0, in the equation for x-intercept

x = 0

⇒ - 5 = 4y ( divide both sides by 4 )

y = - [tex]\frac{5}{4}[/tex] ← y- intercept

y = 0

7x - 5 = - 6x ( add 6x to both sides )

13x - 5 = 0 ( add 5 to both sides )

13x = 5 ( divide both sides by 13 )

x = [tex]\frac{5}{13}[/tex] ← x- intercept

1.74/-0.06 is -29.

You can use your calculator next time. Its easier than using points.

Answer: sixteen and two-hundred fifteen ten thousandths

You'd have to correspond the numbers to words and associate the period with and

Answer: Sixteen and two hundred fifteen ten-thousandths

We read off "16" as normal. Nothing too special about it.

The same goes for the 0215 which is really just 215, even though this part is after the decimal point. However, because it is after the decimal point, we tack on a "ten thousandths" to indicate it's a fractional non-whole portion

Note: if you change the 0 to something like a 3, then we would have 3215 which is less than ten-thousand. This might help you remember that four decimal spots out is the ten-thousandth place value.

another note: the "and" mentioned in the answer is a key word that indicates "decimal point". Only use it for decimal points. Do not use it for a number like "215". In other words, don't say "two hundred and fifteen" because that might seem like you are trying to say 2.15 or something along those lines.

Answer:

[tex]BD=10[/tex]

Step-by-step explanation:

We are given rectangle ABCD

Firstly, we will draw a rectangle

we can see that

AC and BD are diagonals of rectangle

and we know that

Diagonals of any rectangle are always equal

so,

[tex]AC=BD[/tex]

we are given

AC=10

we can plug it

and we get

[tex]10=BD[/tex]

so,

[tex]BD=10[/tex]

To find the height of the ramp at its highest point, we can use trigonometry and the sine function.

To find the height of the ramp at its highest point, we need to determine the vertical component of the ramp. We can use trigonometry to do this. Assuming the ramp forms a right triangle with the ground, we can use the sine function to calculate the height:

height = ramp length * sin(angle)

Given that the ramp length is 24.5 feet and the angle is not provided, we cannot calculate the exact height without that information. Please provide the angle, and I'll be happy to help you find the height.

Answer:

The right option is A) 0.72%

Step-by-step explanation:

We have given,

Number of shares = $100

Park stock per share = $52.89

Total parks stock = 100×52.89 = $5289

Since company paid annual dividends of $0.38 per share.

Total annual dividend company paid = 100×0.38 =$38

Total annual yield in % = [tex]\frac{38}{5289} *100[/tex] = 0.718 % ≈0.72%

Hence the right option is A) 0.72%

A.72% I took the test at k12

Answer:

D or 20

Step-by-step explanation:

If the scale factor is 2 then you take the original number, 10, and multiply it by 2.

10*2=20

Answer:

Option D). 20 inches

Step-by-step explanation:

Length of AB which is of length = 10 inches.

If the length of AB is dilated to form A'B' with a scale factor of 2, then we have to find the length of A'B'

Since we know the formula of dilation as

New dimension = Scale factor × Old dimension

So A'B' = Scale factor × AB

A'B' = 2× 10 = 20 Inches

Option D). 20 inches is the solution.

a)

well, she put 4000, and she earned in interest 960, so her accumulated amount is just their sum, 4960.

b)

now, it doesn't say, so we're assuming is simple interest, as opposed to compound interest.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&960\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=years\dotfill &3 \end{cases} \\\\\\ 960=(4000)(r)(3)\implies \cfrac{960}{(4000)(3)}=r\implies 0.08=r \\\\\\ \stackrel{\textit{converting to percentage}}{r=0.08\cdot 100}\implies r=\stackrel{\%}{8}[/tex]

c)

let's make the rate 1% greater then, and check

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to \stackrel{8+1}{9\%}\to \frac{9}{100}\dotfill&0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(4000)(0.09)(3)\implies I=1080 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{at 9\%}}{1080}-\stackrel{\textit{at 8\%}}{960}\implies \stackrel{\textit{that much more}}{120}[/tex]

Answer:

the answer would be 28.

Step-by-step explanation:

you're multiplying the top and bottom by 7. 3 *7=21 for the bottom

4*7 = 28 for the top

Hope this helps

-Kayla

Answer:

The answer is A. 28

Step-by-step explanation:

When you divide 21 into 3 you get 7.

So you have to multiply 7 to get 21. Whatever you do to the bottom or top you have to do to the opposite so you have to  multiply 7 by 4 and you get 28.

Hope this helps