Construct a linear equation for the linear data presented in the table

[tex]\sqrt{64(6z-7)^2}=\sqrt{64}\cdot\sqrt{(6z-7)^2}=8\cdot |6z-7|=8|6z-7|[/tex]

On a coordinate plane, a line goes through (negative 3, 0) and (0, negative 6).

The graph for the first equation of a system is shown in orange. The second equation is: 3y+30=6x

What is the solution to the system?

A. (2, –10)

B. (1, –8)

C. (–2, –14)

D. (2, –6)

Answer: 4.9/5

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Answer:

B. (1,-8)

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

The amount of the acid will be equal to 113.75 Ml.

Concentration in chemistry is calculated by dividing a constituent's abundance by the mixture's total volume.

In chemistry, to solve this kind of exercise, dilutions, and concentrations are common to use the following equation

C1 x V1 = C2 x V2

V1 refers to volume 1, in this case, is 70mL because is the quantity I have, the solution I can use to obtain another solution. C1 refers to the concentration of the solution I also have, in this case, 65%.

C2 and V2 refer to the volume and concentration of the solution I am looking for. So, if want to know V2, which is the volume I need to add, the only thing to do is find V2 in the equation:

V2 = ( C1 x V1 ) / C2

V2 = ( 65% x 70mL) / 40%

V2 = 113.75 Ml.

Therefore the amount of the acid will be equal to 113.75 Ml.  

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Answer:

[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]

Explanation:

[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]

distribute

[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]

collect terms

[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]

add similar terms

[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]

Answer:

[tex]-18x^3+3x^2+10x+4[/tex]

Step-by-step explanation:

Given:

[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]

Apply the rule (a) = a:

[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]

[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]

Apply the rule -(-a) = a:

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]

Collect like terms:

[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]

Combine like terms:

[tex]\implies -18x^3+3x^2+10x+4[/tex]

Answer:

g

Step-by-step explanation:

jjnnkvigific and it's a boy f a horse y

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

[tex]\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;[/tex]

it is clear, the required constant is 12 (12 per hour).

According to the tangent-secant theorem, the relationship of the tangent and secant in the given circle is: C. AB² = (AC)(AD).

The secant tangent theorem defines the relationship between the lengths of the secant and the tangent line segments when they meet outside a circle.

Based on the tangent-secant theorem, using the image given, the equation that describes the relationship of the tangent and secant in the given circle is:

C. AB² = (AC)(AD)

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Answer: C

Step-by-step explanation:

got it right on my test!!

Answer:

y = 21x + 413

Step-by-step explanation:

Use y = mx + b

m represents the slope which in this case is 21.

b represents the y - intercept which in this case is 413.

Now, just fill in the variables.

y = 21x + 413

Hope this helps!

Answer:

2 cos (2x)

Step-by-step explanation:

[tex]\frac{4 -2 sec^2x}{sec^2x} \\=\frac{4-\frac{2}{cos^2x} }{\frac{1}{cos^2 x} } \\=\frac{\frac{4 cos^2x-2}{cos^2 x} }{\frac{1}{cos^2x} } \\=\frac{2(2 cos^2x-1)}{cos^2x} \times \frac{cos^2x}{1} \\=2(2cos^2x-1)\\=2cos(2x)[/tex]

Answer:

1. 65

2. 52

3. 13

Step-by-step explanation:

For these answers, we can look at the graph:

Question 1:

For the helmet that costs 35 dollars, we look at the x-axis until we find the helmet that aligns with 35.

Then, we look at the y-axis and find the blue dot. The blue dot is the actual consumer rating that was recorded, NOT the red line. The red line is the predicted consumer rating in correlation to the price.

Hence, the consumer rating is 65.

Question 2:

For this, we can look back at the graph and apply the same concept as above. Notice how the 65 plot is 13 points away from the point predicted by the red line.

Therefore, 65 - 13 = 52

Question 3:

Just like the last two questions, we can look at the graph for this. The green line gives us this answer flat out, displaying the distance from the actual rating to the predicted rating.

Hence, the actual consumer rating was 13 above the predicted rating.

Answer:

[tex]x = 172.75[/tex]

Hope this help!!!

Have a good day♡

Answer:

4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We know that the 3-4-5 and 9-12-15 right triangles are similar. If you add 6 units to the length of each side of both of these triangles, you obtain 9-10-11 and 15-18-21 triangles, which are not similar since 9/15 is not equal to 10/18.

Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

Jaira is completing the construction of a regular hexagon inscribed in a circle, as shown below: The next step in her construction should be:

A closed polygon with six equal sides and six equal angles is called a regular hexagon.

Thus, the steps highlighted above will help Jaira complete her construction.

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Answer:

3 + a/2

Step-by-step explanation:

3 + a/2

Let x be multiple-choice questions
Let y be short-answer questions

x + y = 28

3x + 5y = 100

Answer:

See below

Step-by-step explanation:

x2 + 4x + 12 = 0    Complete the square ( take 1/2 of the 'x' coefficient, then square it   and add it to both sides of the equation

x^2 + 4x + 2^2 + 12 = 2^2     Subtract 12 from both sides

x^2 + 4x + 4 = -8

(x+2)^2 = - 8       sqrt both sides

(x+2) =± sqrt (-8)     simplify just a bit

x+2 = ±(2i sqrt2)      subtract 2 from both sides

x =  -2 ± 2i sqrt 2       <===== I do not see that answer listed

Answer:

See below

Step-by-step explanation:

129 500     original price

selling price =   2 ( 129 500) - 9000 = 250 000

% change   Questions worded like this are often up for debate as to exactly answer the question

250 000 / 129 500 =  193 %      Selling price was 193% of original price

(250 000 - 129500)/ 129500 =   93 % INCREASE

Step-by-step explanation:

3x-1) 6x^2 + 7x -2 ( 2x+3

-6x^2 -2x

+

0 + 9x -2

- 9x -3

+

1

Answer:

[tex]y=11[/tex]

Step-by-step explanation:

⇒ [tex]23 - y[/tex]  (Difference means subtraction)

⇒ [tex]23 - y = 12[/tex] (Subtract 12 from 23)

⇒ [tex]y = 11[/tex] (The difference from 23 - 12)

Hii!

___________________________________________________________

Answer:

y=11

Step-by-step explanation:

Let's set up an equation.

"difference between y and 23" tells us to subtract y from 23, so we'll do just that.

23-y=12

Now subtract 23 from both sides

-y=-11

Divide both sides by -1

y=11 "We solved for the variable"

--

Hope that this helped! Best wishes.

--

Answer:

12x^7+15x^6

Step-by-step explanation:

Change 3x^3-2 to 3x

(x^4)(3x)(4x^2+5x)

Multiply your single terms

(3x^5)(4x^2+5x)

Then distribute

12x^7+15x^6

The attached graph represents the piecewise function.

The complete question is in the image

The function is given as:

[tex]f(x) = \left[\begin{array}{cc}3&x \le -3\\2x + 1&-3 < x < 4 \\-2&x \ge 4\end{array}\right[/tex]

Next, we plot the functions by their domain

See attachment for the piecewise function.

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Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.

It states that, for a normally distributed random variable:

In this problem, 2.96 is one standard deviation above the mean. We have that:

Hence the percentage is given by:

P = 50% + 0.68 x 50% = 50% + 34% = 84%.

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The population of Tacoma in 2019 would be 1,028,332.

The population can be represented with an exponential equation that has the form:

FV = P (1 + r)^n

200,000 (1.09)^19 = 1,028,332.

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2) [tex]\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}[/tex]

3) Opposite sides of a parallelogram are congruent.

4) [tex]\triangle EF \text{ }K \cong \triangle GHK[/tex]

Answer:

[tex]\huge\boxed{\sf 4x + 8}[/tex]

Step-by-step explanation:

= 4(x + 2)

Distribute

= 4x + 8

[tex]\rule[225]{225}{2}[/tex]

The degree of dispersion in your data collection is indicated by variance.
It is given by the formula:
[tex]\overline{d}= \sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}[/tex]

To determine the values of a certain set of scattered data, the standard deviation formula is utilized. The dispersion of the quantities or data from the mean is how the standard deviation is simply defined. The conclusion drawn from a lower standard deviation is that the results are fairly near to the average. Higher values, on the other hand, indicate a significant dispersion from the mean. The standard deviation number can never be negative, it should be positive.

It is given by the formula:

[tex]s_d = \sqrt{\sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}} =\sqrt{\overline{d}}[/tex]

We have that the mean of the values is:  

at 8 AM [tex]\overline{x}=\frac{97.9+99.3+97.9+97.6+97.4}{5}=98.02[/tex]

at 12 AM [tex]\overline{x}=\frac{98.5+99.7+98+97.4+97.6}{5}=98.24[/tex]

Using the above definitions we have that

at 8 AM [tex]\overline{d}=\frac{(98.02-97.9)^2+(98.02-99.3)^2+(98.02-97.9)^2+(98.02-97.6)^2+(98.02-97.4)^2}{5}=0.4456[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.4456}=0.6675[/tex]

at 12 AM

[tex]\overline{d}=\frac{(98.24-98.5)^2+(98.24-99.7)^2+(98.24-98)^2+(98.24-97.4)^2+(98.24-97.6)^2}{5}=0.6744[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.6744}=0.8212[/tex]

In general, [tex]\mu_d[/tex] represents the mean of the differences from the population of matched data.

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Using matrix algebra, the material cost of making one of each product at each location is as follows:​

                       Product X    Product Z

Location A        birr 38          birr 50

Location B        birr 38          birr 49.5

Matrix algebra involves the arrangement of numbers in a rectangular array.

Matrices are arranged in columns and rows to express some mathematical values.

                      Steel    Glass    Plastic

Product X         3            1             2

Product Z         4          0.5           3

                      Steel    Glass    Plastic

Location A      10           2           3

Location B       9           3           4

                      Steel    Glass    Plastic   Total

Location A     30           2           6          38

Location B     27           3           8          38

                      Steel    Glass    Plastic   Total

Location A     40          1             9          50

Location B     36          1.5         12         49.5

Thus, Product X costs birr 38 at locations A and B, respectively, while Product Z costs birr 50 and birr 49.5 at locations A and B, respectively.

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We can rewrite the equation of the given line to be in slope-intercept form as follows.

[tex]x-y=7\\x=y+7\\y=x-7[/tex]

Thus, the slope of the given line is 1.

Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.

Substituting into point-slope form,

[tex]y-0=1(x-1)\\\\\boxed{y=x-1}[/tex]