4x²-12x+9 = 5
☐ A. x= -√√5 +
312
B. x= √√4-3
C. X = -√√4-3
O D. x = √5 + 2/
□ E. x= -√5 +3
2
OF. x = √5 +3
2

Answer:

Let x= cost of 20 pepsi

so 1 Pepsi = 20 naira

20 = x

x= 20*20

x= 400 naira

Therefore the cost of 20 pepsi is 400 naira

For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.

It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,

For a Matrix of m x n , m is the no. of rows and n is the no. of column

For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,

which is 6 ,

Therefore Option B is the correct answer.

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Answer:

253=232×k

Step-by-step explanation:

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

4x^2+3x+1

Step-by-step explanation:

4x^2+3x+1 is the answer I hope this helps

Answer:

k=7,y=2.33 and y=k/x^2

Step-by-step explanation:

y=k/x^2

7=k/1

k=7

y=k/x^2

y=7/3

y=2.33

hope it helpful

Answer:

D. (90, 60)

Step-by-step explanation:

A proportional relationship is a relationship in which the ratios of two variables are equivalent.

If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.

Answer:

Step-by-step explanation:

ore energy entered the Earth system than exited due to the greenhouse effect, solar energy trapping systems like solar panel, etc.

How CO₂ changed the energy in the Earth system due to many reasons:-

Carbon dioxide forces the Earth's energy budget out of balance by absorbing thermal infrared energy radiated by the surface. It absorbs thermal infrared energy with wavelengths in a part of the energy spectrum that other gases, such as water vapor, co₂, etc.

The greenhouse effect also increases energy in the earth's system.

An increase in the amount of carbon dioxide creates an overabundance of greenhouse gases that trap additional heat.

These greenhouse gas emissions have increased the greenhouse effect and caused the earth's surface temperature to rise.

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By using trigonometric rules and expressions we find that the expression [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex] is equivalent to single trigonometric expression x = sin 85°.

In this question we must apply trigonometric rules to simplify a given number, in which case we can take advantage of this expression:

[tex]\sin \frac{\theta}{2} = \sqrt{\frac{1 - \cos \theta}{2} }[/tex]

If we know that [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex], then the rewritten expression is:

x = sin 85°

By using trigonometric rules and expressions we find that the expression [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex] is equivalent to single trigonometric expression x = sin 85°.

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Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]

Answer:

6n-5

Step-by-step explanation:

Some different types of sequences

To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).  

To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.

To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.

Finding the type of our sequence

Note the following:

19-13=6

13-7=6

7-1=6

So, to get each next term, add 6.  However, what is the nth term?

Finding an expression for our sequence

You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on.  This starting point shifts the "6n" piece of our expression so that it lines up on the sequence.  I'm going to call this starting point "b" for the base that is supporting this sequence.

So the expression will look something like [tex]6n+b[/tex]

Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".

[tex]6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5[/tex]

So, the expression for the nth term of the sequence is [tex]6n-5[/tex]

Verifying

To verify that the expression we found is right, we can test our expression for each of the terms we do know:

The first term (n=1) is 1

[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]

[tex]6(1)-5 \overset{?}{=} (1)[/tex]

[tex]6-5 \overset{?}{=} 1[/tex]

[tex]1 \overset{\checkmark}{=} 1[/tex]

The second term (n=2) is 7

[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]

[tex]6(2)-5 \overset{?}{=} (7)[/tex]

[tex]12-5 \overset{?}{=} 7[/tex]

[tex]7 \overset{\checkmark}{=} 7[/tex]

The third term (n=3) is 13

[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]

[tex]6(3)-5 \overset{?}{=} (13)[/tex]

[tex]18-5 \overset{?}{=} 13[/tex]

[tex]13 \overset{\checkmark}{=} 13[/tex]

The fourth term (n=4) is 19

[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]

[tex]6(4)-5 \overset{?}{=} (19)[/tex]

[tex]24-5 \overset{?}{=} 19[/tex]

[tex]19 \overset{\checkmark}{=} 19[/tex]

Answer:

x=10, y=14

Step-by-step explanation:

added in the picture

The domain of the given graph is [−3, ∞) and the range is (−∞, 4].

We need to find the domain and range of the given graph.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.

We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].

Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].

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When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. The correct option is A.

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. Investors buy stocks in firms they believe will increase in value. If this occurs, the value of the company's shares rises as well.

For a 70-year-old investor, selling a weak stock at a loss may be a smart move to avoid potential additional future losses.

Hence, the correct option is A.

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Answer:

1/11 = 0.090909090909090909........................

The solution for the given equation will be x=7.8873 and x=0.112699.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Find the Solution for

9x²−72x+8=0

using the Quadratic Formula where

a = 9, b = -72, and c = 8

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{(-72)\pm\sqrt{(-72)^2-4(9)(8)}}{2(9)}[/tex]

x=   [tex]\dfrac{72\pm4896}{\sqrt{18}}[/tex]

The discriminant b2−4ac>0

so, there are two real roots. After solving for plus and then minus we will get two values as follows.

x=7.8873

x=0.112699

Therefore the solution for the given equation will be x=7.8873 and x=0.112699.

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Answer:

A) City A was 5°C and City B was 4°C

Step-by-step explanation:

let temperature of City A be x and City B be y

According to the conditions of the question

4x = 8 + 3y (first temperature)

x - 2y = -3 (second temperature)

x = -3 + 2y

4(x) = (-3 + 2y)×4

4x = -12 + 8y

But it's already given that 4x = 8 + 3y

So,

8 + 3y = -12 + 8y

8 + 12 = 8y - 3y

20 = 5y

y = 20/5

y = 4

That means City B temperature was 4°C

So Option A

If you want you can find x to find City A temperature

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Answer:

y= x +4

Step-by-step explanation:

The slope-intercept form of an equation is given by y= mx +c, where m is the slope and c is the y-intercept.

Start by finding the slope of the line.

[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]

Slope

[tex]=\frac{5-3}{1-(-1)}[/tex]

[tex]=\frac{2}{1+1}[/tex]

[tex]=\frac{2}{2}[/tex]

= 1

Substitute m= 1:

y= x+c

Finally, find c by substituting a pair of coordinates.

When x= 1, y= 5,

5= 1 +c

c= 5 -1

c= 4

Thus, the equation of the line is y= x +4.

Additional:

For more questions on slope-intercept form, do check out

Answer:

The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).

Step-by-step explanation:

The value of the boolean variable x is 0

The boolean equation is given as:

x . 1 = 0

The above means that:

x and 1 = 0

The law of the and operator is that;

The output is 0 if both inputs are different.

One of the inputs is 1.

So, the other input is 0

Hence, the value of x is 0

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[tex]\boldsymbol{5x+15=30}[/tex]

Subtract 15 from both sides.

Subtract 15 from 30 to get 15.

Divide both sides by 5.

Divide 15 by 5 to get 3.

Let x=3.

Checked ✅

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

45750 cm²

Step-by-step explanation:

    a = 4 and c = 5

 base length = 3ac²

                      = 3 * 4 * 5 * 5

                     = 300 cm

    height = 5 cm more than the base length

               = 300 + 5

               = 305 cm

      [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}[/tex]

                                    [tex]\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2[/tex]

Answer:

the answer to that is B. 5 cells

Answer:

18.66

Step-by-step explanation:

Using the pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 13^2 = 16^2

a^2 + 169 = 256

a^2 = 87

a = 9.33

Since we need to figure out length AC and not just AB, we can multiply our answer by 2:

9.33 x 2 = 18.66

Answer:

  71.32°

Step-by-step explanation:

The measure of angle ADB can be found using the trig relation ...

  Cos = Adjacent/Hypotenuse

__

  cos(ADB) = DB/AD = 13/16

Using the inverse function, ...

  ∠ADB = arccos(13/16) ≈ 35.659°

Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.

  Arc AC = 2×35.659° = 71.318° ≈ 71.32°

The measure of arc AC is about 71.32°.

_____

Additional comment

The length of arc AC is the product of the radius and its radian measure:

  length AC = (16)(71.32π/180) ≈ 19.92 . . . units

The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.

Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.

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Answer:

the answer is A. 2 thin crust pizzas