Solve the system y = -x + 7 and y = 0.5(x - 3)2

explain the answer

For this case we must simplify the following expression:

[tex]\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}[/tex]

We rewrite:

[tex]64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3[/tex]

So:

[tex]\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

[tex]4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}[/tex]

Answer:

Option B

50 F

32 F - - 18 = 32 F + 18= 50 F

Answer: B

Step-by-step explanation: Got it right on edge

Answer:B

Step-by-step explanation:I did it

Answer:

D.) 6 and 2

Step-by-step explanation:

Supplementary angles are two angles which sum up to 180°.

Answer:

B. [tex]\angle 2\text{ and }\angle 5[/tex]

Step-by-step explanation:

We have been given an image of intersecting lines. We are asked to find the pair of angles that must be supplementary.

We know that two angles are supplementary when they add up-to 180 degrees.

Upon looking at our given image, we can see that the measure of angle 2 and measure of angle 5 is 90 degrees. So these angles will add up-to 180 degrees, therefore, option B is the correct choice.

Answer:

The dependent variable is the rate (3 meters per second) and the independent variable is m (the amount of meters he runs). This is because the rate changes based on the amount of meters he runs.

Answer:

The seconds are independent and the meters are dependent

ANSWER

Midline y=-1

Period= 2π

Amplitude=3

Frequency=1

EXPLANATION

The given function completes one cycle on the interval 0 to 2π.

Therefore the period of the function is

[tex]2 \pi[/tex]

The midline divides the graph into two equal halves.

This line is y=-1

The cycle repeated once on the interval [0,2π] hence the frequency is 1.

The amplitude is the distance from the midline to the peak.

=2--1=3

Answer:

9. ∠A ≅ ∠R

10. SI ≅ GH

11. MN ≅ RN

12. FE ≅ TU

Step-by-step explanation:

Look at the reason identifier: A means "angle"; S means "side". The order is important. AAS means two adjacent angles with only one of them next to the corresponding sides. SAS means the angle is between two corresponding sides.

9. Sides CS and TS correspond and are congruent. The vertical angles at S are congruent, so the AAS identifier means you're looking for angles A and R to be congruent. (Using angles C and T would invoke the ASA identifier.)

__

10. Sides HI are congruent; the angles at H and I are congruent. The SAS identifier means you're looking for the sides on the other side of those angles to be congruent: sides SI and GH.

__

11. SSS means you're claiming all three sides are congruent to their corresponding sides. The common side is congruent to itself; the marked sides are congruent. So, you need the unmarked sides to be congruent to each other.

__

12. HL means you're claiming the hypotenuse and one leg of the right triangle are congruent. One leg is already marked, so you need the hypotenuses to be congruent.

Answer:

x = 4 in

Step-by-step explanation:

scale factor of reduction is

[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex], thus

x = [tex]\frac{1}{3}[/tex] × 12 = 4

Answer:

is the last one if not the second option would  be the 2 second

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

1/6+1/6+16 hope this helps!

Answer:

[tex]6T+4Z\leq 49[/tex]

Step-by-step explanation:

Let

T----> the number of tomatoes

Z---> the number of zucchinis

we know that

The inequality that represent this situation is

[tex]6T+4Z\leq 49[/tex]

using a graphing tool

The solution is the triangular shaded area

see the attached figure

Step-by-step explanation:

Whole numbers means 0,1,2,3,4,5 ........................................ up to infinity.

We need to find graph of whole number greater than 3

The numbers are 4, 5 , 6 , 7 , 8 , 9 ............................................... up to infinity.

The graph representing this is the second graph.

Second graph is the correct answer.          

Answer: graph number 2 is correct

Step-by-step explanation:

i just wanted to verify for others

the answer is I think -10.2

To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount.

To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount. Let's calculate step-by-step:

To find the total change, we need to add the individual changes:

Total Change = -8.5 + (-12 2/3) + (-16 1/5) + (-10.2) = -47 61/60 pounds

Now, we subtract the total change from the original amount:

Final Amount = 85.4 - 47 61/60 pounds

Calculate the final amount to find out how many pounds of apples Meredith has left.

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Answer:

13.64%

Step-by-step explanation:

The increase, from 132 to 150, is 18.

Comparing 18 to the original 132, we get 18/132 = 0.1364

Rewriting this as a percentage change, we get 0.1364, or 13.64%.   The percentage increase from 132 to 150 is 13.64%.

Answer:

0.27

Step-by-step explanation:

Red marbles = 4

Yellow marbles = 16

Purple marbles = 5

Blue marbles = 16

Green marbles = 10

Total marbles

= 4 + 16 + 5 + 16 + 10

= 51

Red and Green marbles

= 4 + 10

= 14

P(Red or green marbles)

= 14/51

= 0.27

Answer:

0.27

Step-by-step explanation:

Red marbles = 4

Yellow marbles = 16

Purple marbles = 5

Blue marbles = 16

Green marbles = 10

Total marbles

4 + 16 + 5 + 16 + 10 = 51

Red and Green marbles

= 4 + 10

= 14

P(Red or green marbles)

= 14/51

= 0.27

hope this helps pls make my answer the brainliest

Answer:

1) 48

C) It corresponds to the 48-degree angle

Step-by-step explanation:

k║l

1) <1 = 48

because corresponding angles are equal

Why?

C) It corresponds to the 48-degree angle

Answer:

1) 48 and C) It corresponds to the 48-degree angle.

Step-by-step explanation:

Seeing the parallel lines k and l, and the transversal line m, we have that 48° and angle 1 are corresponding angles because k and l are parallel, then, the angle formed with the same transversal line will have the same measure.

So, the measure of angle 1 is 48 (option 1) and the reason is C) It corresponds to the 48-degree angle.

I believe it’s D or B

Answer:

Part 1) [tex]z=4\sqrt{3}\ units[/tex]

Part 2) [tex]y=4\sqrt{2}\ units[/tex]

Part 3) [tex]x=4\sqrt{6}\ units[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the value of z

In the right triangle DBC

[tex]cos(C)=\frac{4}{z}[/tex] ----> equation A

In the right triangle ABC

[tex]cos(C)=\frac{z}{12}[/tex] ----> equation B

equate equation A and equation B

[tex]\frac{4}{z}=\frac{z}{12}[/tex]

[tex]z^{2}=48[/tex]

[tex]z=4\sqrt{3}\ units[/tex]

step 2

In the right triangle DBC

Applying the Pythagoras Theorem

[tex]z^{2}=y^{2}+4^{2}[/tex]

we have

[tex]z=4\sqrt{3}\ units[/tex]

substitute

[tex](4\sqrt{3})^{2}=y^{2}+4^{2}[/tex]

[tex]48=y^{2}+16[/tex]

[tex]y^{2}=48-16[/tex]

[tex]y^{2}=32[/tex]

[tex]y=4\sqrt{2}\ units[/tex]

step 3

Find the value of x

In the right triangle ABC

Applying the Pythagoras Theorem

[tex]12^{2}=x^{2}+z^{2}[/tex]

we have

[tex]z=4\sqrt{3}\ units[/tex]

substitute

[tex]12^{2}=x^{2}+(4\sqrt{3})^{2}[/tex]

[tex]144=x^{2}+48[/tex]

[tex]x^{2}=144-48[/tex]

[tex]x^{2}=96[/tex]

[tex]x=4\sqrt{6}\ units[/tex]

Answer:

B

Step-by-step explanation:

Test Yourself

the answer would be -3,1,2

Hello!

From Least To Greatest Your Numbers Would Be

Polygons are categorized according to their side count. The following are the designations for polygons depending on the number of sides they exhibit:

3 sides: Triangles

4 sides: Quadrilaterals

Special cases of quadrilaterals include rectangles, squares, parallelograms, rhombuses, and trapezoids.

5 sides: Pentagons

6 sides: Hexagons

7 sides: Heptagons or Septagons

8 sides: Octagons

9 sides: Nonagons

10 sides: Decagons

Polygons are classified based on the number of sides they possess. Here are the names for polygons with different numbers of sides:

Triangles: The simplest polygon with three sides, often classified based on angles as equilateral, isosceles, or scalene.

Quadrilaterals: Four-sided polygons, encompassing various shapes with specific characteristics. For example, squares have equal sides and right angles, while rectangles have opposite sides of equal length and right angles.

Pentagons: Five-sided polygons, commonly found in geometry and nature.

Hexagons: Six-sided polygons frequently seen in beehives and some crystal structures.

Heptagons or Septagons: Seven-sided polygons, less commonly encountered in everyday geometry.

Octagons: Eight-sided polygons, often used in architecture and design.

Nonagons: Nine-sided polygons, less commonly discussed but still defined geometrically.

Decagons: Ten-sided polygons, exhibiting symmetry and regularity in shape.

The question probable may be:

What is the name of the polygon​

Which has :

3 sides - ?

4 sides - ?

5 sides - ?

6 sides - ?

7 sides - ?

8 sides - ?

9 sides - ?

10 sides - ?

A frequency polygon is a statistical tool used in mathematics to represent the distribution of data visually, much like a line graph, but specifically connected to a histogram. They are particularly helpful for interpreting continuous data and spotting trends within datasets.

Although the question seems to be incomplete, it appears to ask about the terminology used in mathematics, particularly pertaining to polygons. However, if we connect the dots with the provided reference, it seems the actual topic is 'frequency polygons' in the context of statistics. A frequency polygon is a graphical representation of data in statistics, where it's used to illustrate the distribution of a dataset and is similar to a line graph. It is typically made by connecting the midpoints of the tops of bars of a histogram with straight lines, making the data visually easy to interpret. By doing so, it helps in understanding how values are distributed over an interval and is often used to compare different sets of data on the same graph.

Continuous data can sometimes be difficult to analyze, but frequency polygons simplify this by offering a clear, visual interpretation. They are helpful in identifying trends and patterns in data which are not immediately obvious when looking at a table of values or a histogram alone.

Answer:

100pi in^2, or 314.16 in^2 to nearest hundredth.

Step-by-step explanation:

The areas of the surface of water for  full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).

The area for a full basin =  pi r^2 = 625pi in^2.

So the area  when depth is 10 inches =  625pi / 6.25 = 100pi in^2.

Answer:

Data set B has a higher range than data set A and thus B has a higher degree of variability than A.

Step-by-step explanation:

There are several measures of variability in Statistics among them being;

The range

The inter-quartile range

Variance and standard deviation

To compare the variability of two or more sets of data, we can compute any of the above measures of dispersion and compare them across the various data sets.

In this question we have been given two data sets;

Data Set A: 18, 24, 29, 30, 39

Data Set B: 26, 29, 39, 40, 52

The simplest measure of variability or dispersion is the range. The range is defined as the difference between the maximum and the minimum values in a data set.

The range of data set A is; 39 - 18 = 21

The range of data set B is; 52 - 26 = 26

Data set B has a higher range than data set A and thus B has a higher degree of variability than A.

Answer:

Here the slope is 2.

Step-by-step explanation:

The first step here is to solve for y.  This will lead us to the correct slope value.  Subtracting 4x from both sides, we get -2y = 7 - 4x.

Dividing both sides by -2, we get y = -7/2 + 2x.  The coefficient of x is the slope.  Here the slope is 2.

The slope of a line parallel to the line 4x - 2y = 7 is 2. This is calculated by modifying the given equation into the form y = mx + b and determining the value of 'm', which represents the slope, and parallel lines share the same slope.

To find the slope of a line parallel to the given line, 4x - 2y = 7, we first need to put the given equation in the standard form y = mx + b, where 'm' represents the slope of the line.

We can do this by isolating 'y' in the equation. So, 4x - 2y = 7 becomes 2y = 4x - 7. Then, we divide the entire equation by 2 to solve for 'y', which gives us y = 2x - 7/2. Thus, the slope 'm' of this line is 2.

Lines that are parallel to each other have the same slope, so the slope of the line parallel to the given line is also 2.

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Answers

Part a: Opposite

Part b: cos

Part c: Adjacent

Explanation

If you doing sine, cosine, and tangent, just remember SOHCAHTOA.

[tex]\bf \stackrel{\textit{let's recall that }}{a+a \implies a(1+1)\implies a(2)\implies 2a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{a}{\cfrac{9}{12}}+\stackrel{a}{\cfrac{9}{12}}\implies \stackrel{a}{\cfrac{9}{12}}(1+1)\implies \cfrac{9}{12}(2)\implies 9\cdot \cfrac{2}{12}\implies 9\cdot \cfrac{1}{6}\implies \cfrac{9}{6}\implies \cfrac{3}{2}[/tex]

50% is ur answer your welcome

Answer:

x1= 14/4 and X2 = -2

Step-by-step explanation:

To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:

2x^2+3x+5 = 19

2x^2+3x+5-19=0

2x^2+3x-14=0

Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:

a: 2 b: 3 c: 14

Using the quadratic formula, we get:

x1= 14/4 and X2 = -2

Answer:

Part A) The perimeter of the court is [tex]P=139.25\ ft[/tex]

Part B) [tex]5\ cans[/tex]

Step-by-step explanation:

Part A) we know that

The perimeter of the court is equal to the perimeter of the square plus the perimeter of semicircle

[tex]P=4D+\frac{\pi D }{2}[/tex]

we have that

[tex]D=25\ ft[/tex]

substitute

[tex]P=4(25)+\frac{(3.14*25)}{2}[/tex]

[tex]P=139.25\ ft[/tex]

Part B)

Find the area above the foul line (labelled II)

The area of a semicircle is equal to

[tex]A=\frac{\pi r^{2}}{2}[/tex]

we have

[tex]r=25/2=12.5\ ft[/tex]

substitute

[tex]A=\frac{(3.14)(12.5)^{2}}{2}[/tex]

[tex]A=245.31\ ft^{2}[/tex]

Round to the nearest whole number

[tex]A=245\ ft^{2}[/tex]

One can of paint covers 50 square feet of floor

so

Calculate how many cans of blue paint does the school need to purchase

[tex]245/50=4.9\ cans[/tex]

Round up

[tex]5\ cans[/tex]

The area is the length x the height.

Length = 11.40 cm

Height = 6.90 cm

Area = 11.40 * 6.90 = 78.66 cm^2

The answer is D.