A parabola opening down the vertex is (3,0) and passes through (12,-12) what is that written in vertex form?

Answer:

x < 8

Step-by-step explanation:

Given

x + 4 < 12

Isolate x on the left side by subtracting 4 from both sides

x < 8 ← is the solution

Answer:

x< 8

Step-by-step explanation:

x+4<12

x+4<12

 -4  -4

x<8

The repeated subtraction of 8 from 32 until reaching 0 can be represented by the division equation 32 ÷ 8 = 4, showing the number of times 8 is subtracted from 32.

The student is performing repeated subtraction of the same number, which can also be represented by a division equation. The repeated subtraction mentioned:

Shows that 32 is being subtracted by 8 until it reaches 0, and this process happens four times. Thus, we can convert this series of subtractions into a division equation: 32 ÷ 8 = 4. This equation means that you can subtract 8 from 32 four times before reaching zero, which is equivalent to dividing 32 by 8.

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Answer:

66

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Plug 1 into x

2(1) = 2

471.9=65% × x

671.9/65 = x

x= 10.336923077

Check! Proof!

10.336923077×65%

=671.9

Answers

10.336923077

71°

This is an isosceles triangle because it has two sides with lengths, hence the angles opposite the equal sides are also equal, that is ∠U = ∠V.

So we can say that:

∠U = ∠V = α

∠W = β

Since the internal angles of a triangle add up to 180 degrees, then:

α + α + β = 180

2α + β = 180

β = 180 - 2α

Using the law of sine:

[tex]\frac{35}{sin\beta} =\frac{30}{sin\alpha} \\ \\ \frac{35}{sin(180 - 2\alpha)} =\frac{30}{sin\alpha} \\ \\ \\ From \ Properties: \\ \\ sin(180-2\alpha)=sin(180)cos2\alpha-sin2\alpha cos(180) \\ \\ = -sin2\alpha(-1)=sin2\alpha \\ \\ Also: \\ \\ sin2\alpha=2sin\alpha cos\alpha[/tex]

Therefore:

[tex]\frac{35}{2sin\alpha cos\alpha} =\frac{30}{sin\alpha} \\ \\ \therefore \frac{35}{60}=cos\alpha \\ \\ \alpha=cos^{-1}(\frac{7}{12})=54.31^{\circ}[/tex]

But we want to know ∠W = β, therefore:

[tex]\beta = 180 - 2\alpha \\ \\ \beta =180-2(54.31)=71.37^{\circ}[/tex]

And rounded to the nearest degree:

∠W = 71°

answer: v = -13

step by step explanation:

Answer:

v = - 13

Step-by-step explanation:

Distribute parenthesis on both sides of the equation

54 - 18v = - 12v + 132 ( add 12v to both sides )

54 - 6v = 132 ( subtract 54 from both sides )

- 6v = 78 ( divide both sides by - 6 )

v = - 13

Answer:

15

Step-by-step explanation:

Call the unknown time x.

The mean is the sum of the numbers divided by the number of numbers.

There are 5 numbers.

(8 + 10 + 38 + x + 20)/5 = 18.2

(x + 76)/5 = 18.2

x + 76 = 91

x = 15

Answer:

Step-by-step explanation:

Add all the scores you do know

8  + 10 + 38 + 20 = 76

Now put in an ex for the situps.

76 + x

There are 5 subjects

(76 + x) /5 = 18.2

The average was 18.2

Multiply both sides by 5

5*(76 + x ) / 5 = 18.2 * 5      

Cancel the left combine the right.

76 + x  = 91

Subtract 76 from both sides

76 - 76 + x = 91 - 76

x = 15

Answer:

Step-by-step explanation:

Good evening ,

________________

the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts:

20:12 = (20:4) : (12:4) = 5:3.

Then the correct answer is D.

____________________________

:)

To find the ratio of chocolates without nuts to chocolates with nuts, divide the quantities of each. With 20 chocolates without nuts and 12 with nuts, the simplified ratio is 5:3, corresponding to answer D.

The question asks us to find the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts. George has 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts.

To determine the ratio, we divide the number of chocolates without nuts by the number of chocolates with nuts:

Therefore, the correct answer is D. 5:3. This is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts.

Answer:

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

Please see attached image

Step-by-step explanation:

We can easily solve this equation by using a technical solver or a programming language such as Octave.

The linear factorization of the equation can be obtained directly by finding the zeros of g(x)

Please see attached images for the answer to your problem

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

The lowest value of the range of the function based on the given coordinates is -2.

To determine the lowest value of the range of the function based on the given coordinates, we need to identify the minimum y-value among the points. The y-values are the second coordinates in each pair.

The given coordinates are:

[tex]\[(-4,5), (0,1), (1,0), (3,-2), (4,-1), (5,0)\][/tex]

The minimum y-value is -2, which corresponds to the point (3, -2). Therefore, the lowest value of the range of the function is -2.

Among the provided options, -2 is the correct answer. The other options (negative infinity, 0, 3) are not supported by the given data. The function attains its lowest value at the point (3, -2), and no lower value is evident from the provided coordinates.

In summary, the lowest value of the range of the function based on the given coordinates is -2.

Learn more about range of the function here:

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Answer:

Step-by-step explanation:

[tex]<a,\ b>\circ<c,\ d>=ac+bd\\\\a=<2,\ 4>,\ b=<2,\ 5>\\\\a\circ b=<2,\ 4>\circ<2,\ 5>=(2)(2)+(4)(5)=4+20=24[/tex]

Leo earned approximately $992.08 in interest after 13 years.

Compound interest is calculated using the formula:

A = P(1 + r/n)^(nt)

Where:

In this case, Leo deposited $2494.05 with an interest rate of 2.5% compounded weekly for 13 years. Plugging the values into the formula:

A = 2494.05(1 + 0.025/52)^(52*13)

A = 2494.05(1.00048077)^(676)

A ≈ $3486.13

To find the interest earned, subtract the principal amount from the total future amount:

Interest = A - P

Interest ≈ $3486.13 - $2494.05

Interest ≈ $992.08

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Answer:

because they help us better analyze data

Step-by-step explanation:

we can see a lot of data on one small thing such as a graph, so we can easily graph data from many years on one graph

Graphs in mathematics help us visually represent equations and display data, allowing us to understand patterns, trends, and relationships between variables.

Graphs are an important tool in mathematics as they help us better understand our world by visually representing equations and displaying data. Graphs can show the relationship between different variables, such as in a line graph where one variable is plotted on the horizontal axis and another on the vertical axis. They can also represent data using bar graphs or pie graphs, which help us compare and interpret numerical information.

For example, if we want to analyze the temperature changes throughout a year, we can plot the temperature on the vertical axis and the months on the horizontal axis. By connecting the data points, we can see patterns and trends, such as variations in temperature during different seasons.

In addition, graphs allow us to make predictions and draw conclusions based on the data presented. By analyzing the shape and slope of a graph, we can determine the rate of change, identify maximum and minimum values, and make predictions about future outcomes.

Answer:

128

Step-by-step explanation:

Do the multiplication:

4 * 4 * 8 = 128

Answer:

Step-by-step explanation:

given, y= -2x^2;

so, when x=1, y= -2((1)^2)= -2

so pair which lie on graph is (x,y) is (1,-2)

Answer:

None

Step-by-step explanation:

We are given that a graph[tex] h(x)=-3x^2[/tex]

We have to find that which pair lie on the given graph.

In order to find the value of ordered pair which lies on the given graph by substituting the value of x=1

If we get h(x)=-4 or -2 or 4 corresponding to x=1 then that pair will be answer.

Substitute x=1 then we get

[tex]h(x)=-3(1)^2=-3[/tex]

The order pair is  (1,-3).

Given options do not match with order pair (1,-3).

Hence, answer is none of the above.

Answer:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides."

Step-by-step explanation:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides. A quadrilateral is a geometric shape that has four sides. Some specialized types of trapezoid are the parallelogram and the isosceles trapezoid.

The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. Geometric analysis of a trapezoid includes calculating the height, median and area. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.

A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths."

A trapezoid is a four-sided polygon with one pair of parallel sides. Its key characteristics include parallel sides, supplementary adjacent angles, and specific area calculation. The median connects the midpoints of the legs, with a length that averages the bases.

A trapezoid is a four-sided polygon, also known as a quadrilateral, with one pair of opposite sides parallel. These parallel sides are known as the bases of the trapezoid, while the other two sides are called the legs.

Key Characteristics:

These characteristics are essential for identifying and working with trapezoids, especially in various mathematical problems and geometric constructions.

Answer: OPTION C

Step-by-step explanation:

Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=4*s=4*5.3yd=21.2yd[/tex]

Where s is the side lenght

The slant height is given:

[tex]l=11.1yd[/tex]

The area of the base is:

[tex]B=s^2=(5.3yd)^2=28.09yd^2[/tex]

Where s is the side lenght

Substitute values. Then, the result is:

[tex]SA=\frac{(21.2yd)(11.1yd)}{2}+28.09yd^2)=145.75yd^2[/tex]

Answer:

The correct answer option is C. 145.75 yd^2.

Step-by-step explanation:

We are given a diagram of a right square pyramid with a slant height 11.1 yd, and base edge length 5.3 yd.

We know that the surface area of a right square pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]4 \times 5.3[/tex] = 21.2 yd^2

Base Area = [tex]5.3^3[/tex] = 28.09 yd^2

Surface area of right square pyramid = [tex]\frac{21.2 \times 11.1 }{2} + 28.09[/tex] = 145.75 yd^2

Answer:

x^2+2x+2

Step-by-step explanation:

(x+1)(x+1) or (x+1)^2

x = -1

Answer:

Step-by-step explanation:

x²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]

Answer:

Step-by-step explanation:

1) Percentage of blue = [tex]\frac{6}{36} *100\\=16.67%\\=17%[/tex]

True

2) Organe has the least number and hence true

3) Yes. 36 students represent 100% of the data set

4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.

5) There are 7 colours and hence 7 segments.  Hence false.

Answer:

1, 2, 3, 4, and 6

Step-by-step explanation:

Right on E D G E N U I T Y unit test.

Answer: 5 years

              14,800 students enrolled

Step-by-step explanation:

Let x represent the number of years and

Let y represent the number of students enrolled

College A: y = 12,300 + 500x

College B: y = 18,550 - 750x

Use substitution Method to solve:

12,300 + 500x = 18,550 - 750x

            +750x                +750x

12,300 + 1250x = 18,550

-12,300               -12,300

              1250x = 6250

                      x = 5

Input x = 5 into one of the equations to solve for y.

y = 12,300 + 500x

  = 12,300 + 500(5)

  = 12,300 + 2500

  = 14,800

Answer:

D.) You pay $9  for a burger and some amount for dessert for a              total of $16.

 Bottom Right

Answer:

Step-by-step explanation:

12:7 I'm pretty sure thats right and if its not then try 7:12

Answer:

each shirt costs $25

Step-by-step explanation:

we can make an equation using x as the cost of each shirt. since 254 was the total, they will=254 together , and since we have 9 shirts, its 9x. we can use this info to create the equation 9x+29=254. we subtract 29 on each side to get 9x=225. we then divide 9 on both sides to get x=25. so each shirt costs $25

Brainliest plzzz

The number 30,000 is made up of 30,000 individual ones. This basic mathematical concept helps understand the scale of numbers and aid in quick approximations. It can be compared to estimating powers of 10 for mental calculations.

The question '30000 equals how many ones' can be interpreted as asking how many single units there are in 30,000. This is a basic math concept dealing with place value and integer understanding. Each individual unit is a 'one', and therefore, in 30,000, there are 30,000 of these individual units, each one contributing to the total value of the number. In other words, 30,000 is comprised of 30,000 ones.

To relate this to practical applications, consider the example where the square root of 10 is roughly estimated as 3, because 3³ (which is 3 x 3 x 3) equals 27, which is near to 10² (100), giving us an approximation that is useful for mental calculations. Similarly, the basic concept of powers of 10 can be applied here, with 10³ being 1,000, hence 30 x 10³ being 30,000. So, when you're working with large numbers like 30,000, knowing that it is made up of 30,000 ones can help you understand its scale and make quick approximations in everyday calculations.

ANSWER

[tex]x = \frac{ - 20}{7}[/tex]

[tex]y=\frac{ 4}{7}[/tex]

EXPLANATION

The x and y coordinates of the point that partition

[tex](x_1,y_1)[/tex]

and

[tex](x_2,y_2)[/tex]

in the ratio m:n is given by:

[tex]x = \frac{mx_{2} + nx_{1}}{m + n} [/tex]

and

[tex]y= \frac{my_{2} + ny_{1}}{m + n} [/tex]

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3).

We substitute the given points,

[tex]x_1=-6[/tex]

[tex]y_1=2[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-3[/tex]

[tex]m = 2[/tex]

[tex]n = 5[/tex]

This implies that;

[tex]x = \frac{2(5)+ 5( - 6)}{2 + 5} [/tex]

[tex]x = \frac{10 - 30}{2 + 5} [/tex]

[tex]x = \frac{ - 20}{7} [/tex]

[tex]y = \frac{2( - 3)+ 5( 2)}{2 + 5} [/tex]

[tex]y = \frac{ - 6+ 10}{2 + 5} [/tex]

[tex]y=\frac{ 4}{7}[/tex]

Answer:

x =  \frac{ - 20}{7}

y=\frac{ 4}{7}

Step-by-step explanation: