Enter an inequality that represents the graph in the box.

The first polynomial is:

-3x³ + 2x – 5

Then we add a polynomial p(x) and we get:

-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3

We will find that p(x) = 7x³ + 7x² - 2x + 2

Now let's see how we got it:

Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.

Then we can write:

p(x) = ax³ + bx² + cx + d

Then we have:

-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3

(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) =  4x³ + 7x² – 3

Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:

(-3 + a)x³ = 4x³

bx² =  7x²

(2 + c)x = 0

(-5 + d) = – 3

Now we can remove the variables in all of these equations to get:

(-3 + a) = 4

b =  7

(2 + c) = 0

(-5 + d) = – 3

Now we can solve all of these and find the coefficients of our polynomial p(x).

-3 + a = 4

a = 4 + 3 = 7

a = 7

b = 7

2 + c = 0

c = -2

-5 + d = -3

d = -3 + 5 = 2

d = 2

Then we have:

p(x) = 7x³ + 7x² - 2x + 2

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Answer:

Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.

Step-by-step explanation:

Answer:

Remember that PEMDAS requires you to solve Multiplication/Division from left to right based on whichever comes first. In this example, when moving from left to right, multiplication comes first so you would first perform 8 x 8 = 64

Hope this helps <3

Answer:

Let’s just hail a taxi.

Step-by-step explanation:

25x² - 36x +9, when x = 2

(25 × 2)² - (36 × 2) + 9

50² - 72 + 9

2 500 - 72 + 9

using BODMAS

2 500 + 9 - 72

2 509 - 72

= 2 437

Answer:

Step-by-step explanation:

25(2)^2-36(2)+9

25(4)-72+9

100-72+9

28+9

37

Answer:

6

Step-by-step explanation:

6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so

= 6/1 * 1/1 = 6

Hi :)

10, 100 Afghani Afghani (currency name) is $1212 USD with the conversion you provided. Today it's like $117.41.

Answer:

112.29 usd

Step-by-step explanation:

1 dollar afgani is 0.011 dollars usd :)

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Answer:

I don't know of it should be more complicated than that

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

See attached image.

The vectors u and v are orthogonal, so the angle between them measures [tex]90^\circ[/tex]. [tex]||u||=5[/tex] and [tex]||u||=\frac{1}{2}||v|| \Rightarrow ||v||=10[/tex]

The vector sum is the diagonal shown in the image and its length/magnitude/norm can be found by using the Pythagorean Theorem.

[tex]||u+v||=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

[tex]|| \overrightarrow {u}||=5\\\\|| \overrightarrow {u}||=\dfrac{|| \overrightarrow {v}||}{2} \Longrightarrow\ || \overrightarrow {v}||=2*|| \overrightarrow {v}|=10\\\\|| \overrightarrow {u}+\overrightarrow {v}||^2=|| \overrightarrow {u}||^2+|| \overrightarrow {v}||^2+0\ (since\ u\ and\ v\ are\ orthogonal\ vectors \ )\\\\=5^2+10^2=125\\\\|| \overrightarrow {u}+\overrightarrow {v}||=5*\sqrt{5} \\[/tex]

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

A logarithm is just the opposite function of exponentiation. The common logarithm is called the natural logarithm and the natural logarithm is called the base e logarithm. The value of log, 1257 is 3. The correct option is A.

In mathematics, logarithms are defined as the another way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm can be defined as the power to which a number should be raised to obtain some other values.

There are two types of logarithms, they are common and natural logarithm. The common logarithm defines how many times we have to multiply the number 10 to get the required output whereas the natural logarithm shows how many times we have to multiply 'e' to get the required output.

Here the value of log 1257 = 3.099 ≈ 3

Thus the correct option is A.

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Answer:

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

Step-by-step explanation:

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

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Answer:

x= 1,2,3,4,5,6,7,8,9,10 so simpal

Answer:

C, F

Step-by-step explanation:

If a rock released with an initial velocity = u

If it falls under gravity 'g' for 't' seconds,

Expression to find the distance covered will be,

[tex]y=ut+\frac{1}{2}t^2[/tex]

If the initial velocity is zero expression for the distance covered will be,

[tex]y=\frac{1}{2}gt^2[/tex]

Here, g = Gravitational pull Or acceleration due to gravity

A). If the distance covered 'y' = 20 m

     And t = 4 seconds

     By substituting these values in the expression,

     [tex]20=\frac{1}{2}g(4)^2[/tex]

     [tex]20=8g[/tex]

     [tex]g=2.5[/tex] m per sec square

B). Average velocity of a free falling body = [tex]\frac{\text{Initial velocity}+\text{Final velocity}}{2}[/tex]

    Initial velocity of the object = 0

    Final velocity = [tex]g\times t[/tex]

                           = [tex]2.5\times 4[/tex]

                           = [tex]10[/tex] meter per sec.

    Therefore, average velocity = [tex]\frac{0+10}{2}[/tex]

                                                    = [tex]5[/tex] meter per second

C). Since, the rock hits the bottom after [tex]4[/tex] seconds,

     Velocity with which the rock will hit the ground [tex]=gt[/tex]

                                                                                     [tex]=10[/tex] m per sec.

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Answer:

Ithink the answer is 6 hope it helps please mark as brainliest

Answer:

a^2+3a+2

Step-by-step explanation:

(a + 1) × (a + 2)  

a x a =  a^2

a x 2 = 2a

1 x a = 1a

1 x 2 = 2

a^2 +2a+1a+2

    2a+1a =3a

a^2+3a+2

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

3 [tex]\frac{1}{2}[/tex] - 2 [tex]\frac{2}{3}[/tex]

[tex]\frac{7}{2}[/tex] - [tex]\frac{8}{3}[/tex] First change the two mixed numbers to improper fractions. Multiply the whole number by the denominator then add the numerator to the answer.

[tex]\frac{21- 16}{6}[/tex] Bring the fractions to the same denominator by finding the lowest common multiple of both denominators

Then the answer becomes [tex]\frac{5}{6}[/tex].

HOPE THIS HELPED

Answer:

Step-by-step explanation:

1) -28r +14=-12r-2

-16r=-16

r=1

~~~~~~~~~~~~~~~~

2) -35x+5=6x-36

-41x=-41

x=1

Answer:

.78

Step-by-step explanation:

1.3 x0.6 is .78. easy peasy

Answer:

do you have any photo reference to the actual question at this time?

Answer:

Step-by-step explanation:

The value of the angle x is 85°

The sum of angles of a quadrilateral = 360°

This means that given a quadrilateral with angles, A, B, C, D ;

(A + B + C + D) = 360°

Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)

The value of x will be obtained thus :

(x + 150 + 77 + 48) = 360

150 + 77 + 48 + x = 360

275 + x = 360

x = 360 - 275

x = 85°

Hence, the value of x is 85°

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Answer:

30

Step-by-step explanation:

Another way to group the factor would be 3(2×5)

2 times 5 is 10 and then 10 times 3 is 30 so therefore, your answer is 30

Step-by-step explanation:

pls mark me the brainliest pls

Answer:

when you divide 2by1you get 2so you can't really round off

Ex:-

[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.

but

.

[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.

There are six types of surds such as :

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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Answer:

17.3

Step-by-step explanation:

let required number is x

100% of x =7.3

1% of x =7.3/100

1% of x= 0.073

237% of x=0.073*237

237% of x=17.3

Work Shown:

30% of 45 = 0.30*45 = 13.50

You save $13.50 and the sale price is 45 - 13.50 = 31.50 dollars

An alternative is to compute

0.70*45 = 31.50

This works because if you save 30%, then you have to pay the remaining 70%

Answer:

A

Step-by-step explanation:

The slope is the coefficient of the x term, that is 3

Answer:

The ratios are not equivalent, so the relationship is not proportional. Therefore, the graph will not be a straight line passing through the origin.

Step-by-step explanation:

Since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.

A proportional graph is a straight line graph that passes through the origin (0, 0).

If a relationship has a proportional ratio, then the graph that represents the relationship would be a proportional graph.

Therefore, since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.

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