please help with math

Please Help With Math

Answers

Answer 1

Answer:

2nd option, x > 1.10

Step-by-step explanation:

[tex]7e^{2x}-5 > 58[/tex]

Add 5 to both sides,

[tex]7e^{2x}-5+5 > 58 +5\\7e^{2x} > 63[/tex]

Divided both sides by 7,

[tex]\frac{7e^{2x}}{7} > \frac{63}{7}[/tex]

[tex]e^{2x} > 9[/tex]

Apply Exponent Rule,

[tex]2x > 2ln(3)[/tex]

[tex]\frac{2x}{2} > \frac{2ln(3)}{2}[/tex]

x > ln(3) or x > 1.09861

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Related Questions

3. According to the diagram above, what is 2xº?
(A) 18⁰
(B) 27°
(C) 36°
(D) 54

Answers

According to the diagram the answer is 36degree

At a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. if 75 candidates are interviewed, about how many are expected to be rejected?

Answers

45 candidates are expected to be rejected.

What is a percentage in math?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Here, we want to calculate the number of candidates to be rejected

The number of candidates to be rejected can be calculated from;

100% - (28% + 12%) = 60%

So 60% of the 75 interviewed are to be rejected

Thus, we have

60/100 * 75

= 45

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Complete the equation of the line through (-10,-7)(−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and (-5,-9)(−5,−9)left parenthesis, minus, 5, comma, minus, 9, right parenthesis. Use exact numbers. y=y=

Answers

[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-10)}}} \implies \cfrac{-9 +7}{-5 +10} \implies \cfrac{ -2 }{ 5 }\implies -\cfrac{2}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{(-10)}) \\\\\\ y+7=-\cfrac{2}{5}(x+10)\implies y+7=-\cfrac{2}{5}x-4\implies y=-\cfrac{2}{5}x-11[/tex]

Ron works at the local bookstore for an hour every day. He earns $5 daily from this job. If he adds this amount to his daily allowance, he has $70 at the end of each week. The amount of money Ron receives each week is represented by the equation 7(x + 5) = 70, where x is the amount of Ron's daily allowance. Plug the numbers from the set {5, 10, 15, 20} into the equation to find x, the amount of Ron's daily allowance.

Answers

$5

The equation is true when we plug 5 in for x. So, x=5 and therefore Ron’s daily allowance is $5.

7(5+5) = 70
7(10) = 70
70 = 70 ✔️

7(10+5) = 70
7(15) = 70
105 = 70 ❌

7(15+5) = 70
7(20) = 70
140 = 70 ❌

7(20+5) = 70
7(25) = 70
175 = 70 ❌

Vectors u and v are shown in the graph. What is -3(u•v)?

Answers

[tex]\mathbf{u} =\langle -6, -10 \rangle \\ \\ \mathbf{v}=\langle 7,8 \rangle \\ \\ \mathbf{u} \cdot \mathbf{v}=(-6)(7)+(-10)(8)=-122 \\ \\ \therefore -3(\mathbf{u} \cdot \mathbf{v})=-3(-122)=\boxed{366}[/tex]

The value of -3(u•v) is 366 when vector u= -6i - 10j and vector v=-6i - 10j is given.

What is dot product ?

The dot product of two vectors is the sum of the products of their corresponding components.

Here, u= -6i - 10j, from the figure as u goes 6 coordinate left to the y axis and and 10 coordinates below the x axis.

v= 7i + 8j, from the figure as v corrdinates right to the y axis and 8 coordinats upwards to the x axis.

Therefore u.v= (-6i - 10j).(7i + 8j)

                      = -42 - 80

                      = -122

So, -3(u.v)= (-3)×(-122)

                =366

Hence, the value of -3(u•v) is 366

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Find the surface area of the prism

Answers

The surface area of the prism is 256in².

Given that the sides of the prism is 5in, 12in and 4in.

The total area occupied by the surfaces of an object is called the area.

Here, l=12in, b=5in and h=4in

Firstly, we will find the area of the base, we get

B=l×b

B=12×5

B=60in²

Now, we will find the perimeter of the base, we get

P=2(l+b)

P=2(12+5)

P=2×17

P=34in

Further, we will find the surface area of the prism by using the formula SA=2B+Ph.

Here, we will substitute the values from above, we get

SA=2×60in²+34in×4in

SA=120in²+136in²

SA=256in²

Hence, the surface area of the prism where the sides of the prism is 5in, 12in and 4in is 256in².

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Joy is training for a triathlon. she runs a distance of 2x miles, cycles a distance of (x2 7) miles, and swims a distance of (x − 2) miles. which simplified expression is equivalent to the total distance, in miles, joy covers? x2 3x 5 x2 3x 9 3x2 5 3x2 9

Answers

The simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.

To find the simplified expression:

Given -

Distance cycled = x² + 7 milesDistance ran = 2x milesDistance swam = x - 2 miles

Thus,

Total distance she covers = x² + 7 + 2x + x - 2Total distance = x² + 3x + 5 miles

Therefore, the simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

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The complete question is given below:
Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?

(A) x2 + 3x + 5

(B) x2 + 3x + 9

(C) 3x2 + 5

(D) 3x2 + 9

Answer:

The person on top is right.

ITS A

Step-by-step explanation:

14. Suppose the diameter of circle B were 18 inches instead of 8 inches. What is the
total cost of the glass for your window now?

Answers

The total cost of the glass for your window now  $174.8

How to determine the total cost of the glass for your window now?

The complete question is added as an attachment

From the attached figure, we have the following parameters:

Square of side length 24 inchesCircle B of diameter 20 inchesCircle A of diameter 18 inches

The area of region 1 is calculated using:

Region 1 = Area of square - Area of circle B

This is calculated as

Region 1 = L^2 - π(d/2)^2

So, we have:

Region 1 = 24^2 - 3.14 * (20/2)^2

Evaluate the quotient

Region 1 = 24^2 - 3.14 * 10^2

Evaluate the exponent

Region 1 = 576 - 3.14 * 100

Evaluate the product

Region 1 = 576 - 314

Evaluate the difference

Region 1 = 262

The cost per square inch of this region is $0.10.

So, we have:

Total cost of region 1 = 262 * $0.10

Total cost of region 1 = $26.10

The area of region 2 is calculated using:

Region 2 = Area of circle B - Area of circle A

This is calculated as

Region 2 = π(D/2)^2 - π(d/2)^2

So, we have:

Region 2 = 3.14 * (20/2)^2 - 3.14 * (18/2)^2

Evaluate the quotient

Region 2 = 3.14 * 10^2 - 3.14 * 9^2

Evaluate the exponent

Region 2 = 3.14 * 100 - 3.14 * 81

Evaluate the product

Region 2 = 314 - 254.34

Evaluate the difference

Region 2 =  $59.66

The cost per square inch of this region is $0.15.

So, we have:

Total cost of region 2 = 59.66 * $0.15

Total cost of region 2 = $8.949

The circle B is divided into sectors.

And the angles of the sectors are 90 and 270 degrees

The area of each sector is

Area = ∅/360 * π(d/2)^2

So, we have:

Circle B = ∅/360 * π(d/2)^2 + ⊕/360 * π(d/2)^2

So, we have:

Circle B = 90/360 * 3.14 * (18/2)^2 + 270/360 * 3.14 * (18/2)^2

Evaluate the quotient

Circle B = 0.25 * 3.14 * 9^2 + 0.75 * 3.14 * 9^2

Evaluate the exponent

Circle B = 0.25 * 3.14 * 81 + 0.75 * 3.14 * 81

Evaluate the product

Circle B = 63.585 + 190.755

The cost per square inch of this region is $0.80 for 1 sector and $0.20 for the rest

So, we have:

Total cost of circle B = 63.585 * 0.80 + 190.755 * 0.20

Total cost of circle B = 89.019

Add the total costs

Total cost of the glass for your window = Region 1 + Region 2 + Circle B

Total cost of the glass for your window = $26.10 + $59.66 + $89.019

Evaluate the sum

Total cost of the glass for your window = $174.779

Approximate

Total cost of the glass for your window = $174.8

Hence, the total cost of the glass for your window now  $174.8

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What is the volume of the pyramid

Answers

Answer:

Option A - 32 cm³

Step-by-step explanation:

Volume of a pyramid is given by the formula :

V = [tex]\frac{lwh}{3}[/tex]

Substituting values given gives us :

V = (4)(4)(6)/3

V = (16)(6)/3

V = 96/3

V = 32

Units will be cm³ as this is volume

Hope this helped and have a good day

Answer:

A. 32 cm³

Step-by-step explanation:

V = (1/3)(area of base)(height)

The base is a square of side 4 cm.

area of base = side × side

V = (1/3)(4 cm × 4 cm)(6 cm)

V = 32 cm³

Bruce went to sleep at 9:00 pm and set old-shchool analog alarm clock to ring when he wanted to wake up the next morning: at 10:00. HHow many hours will Bruce sleep?

Answers

if he goes to bed at 9:00 pm, and wakes up at 10:00 am he will have slept 13 hours.

The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?

Answers

Based on the scatterplot, the equation that BEST represents the relationship between velocity and time is y = 2.2x + 6

How to determine the line of best fit?

The line of best fit is the line that best represents the relationship between 2 variables. The equation of a line in slope-intercept form is expressed as:

y = mx + b

where

m is the slope

b is the intercept

Using the coordinate points on the plane (0, 6) and (10, 28)

Determine the slope

Slope = 28-6/10-0
Slope = 22/10
Slope = 2.2

Determine the y-intercept

6 = 2.2(0) + b

b = 6

Determine the equation of aline of best fit.

y = 2.2x + 6

Hence based on the scatterplot, the equation that BEST represents the relationship between velocity and time is y = 2.2x + 6

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30 POINTS FOR THIS QUESTION

Answers

Answer:

Perimeter is 4a - 10

Area is a^2 - 5a

Step-by-step explanation:

Two sides of the rectangle are "a" and two sides of the rectangle are "a-5"  add all four sides and you get a+a+a-5+a-5  Combine the like terms and you get 4a - 10.

The area is when you multiple the two sides together

A = lw

A - a(a-5) = a^2 - 5a

Which graph shows the solution to this system of inequalities y < - 1/3 x + 1

Answers

Answer:

See attached image.

Step-by-step explanation:

The image does not show the graph options.  The attachment sjhhows the graph of y < - 1/3 x + 1.

Find the values of x and y.
Write answers in simplest radical form.
x=______ y=_____

Answers

Using the Geometric mean theorem and the Pythagorean theorem:

x = 3√3, and y = 6.

What is the Right Triangle Altitude Theorem/Geometric Mean Theorem?

The Geometric mean theorem or the right triangle altitude theorem states that the geometric mean of the the two segments equals he length of the altitude of a right triangle.

The geometric mean theorem is expressed by the equation, h = √(ab), where:

a is the length of one segmentb is the length of the other segmenth is the length of the altitude of the right triangle.

Given the following:

h = x

a = 9

b = 3

x = √(9 × 3)

x = 3√3

Find y using the Pythagorean theorem

Based on the Pythagorean theorem, we would have the following:

y = √(x² + 3²)

y = √((3√3)² + 3²)

y = √(27 + 9)

y = √(36)

y = 6

Thus, in the simplest radical form, the value of x = 3√3, and y = 6.

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30. A man walks diagonally from one corner of a
rectangular lot to the opposite corner. If he
walks at the rate of 5 feet a second, and the lot is
50 feet by 120 feet, how many seconds will he
save by walking diagonally instead of walking
along the perimeter of the lot?
(A)8
(B) 10
(C) 17
(D) 34

Answers

The time he saves when walking diagonally is 8 seconds

How to find diagonal and side of a rectangle?

A rectangle has opposite sides equal to each other.

The angles are equal.

Therefore,

perimeter of a rectangle = 2l + 2w

where

l = lengthw = width

Therefore,

distance of the diagonal  =√ 50² + 120²

distance of the diagonal  = √2500 + 14400

distance of the diagonal = √16900

distance of the diagonal = 130 feet

distance if he follows the length of the rectangle = 50 + 120 = 170 feet

Hence,

Time spent diagonally

5 = 130 / t

t = 130 / 5

t = 26 seconds

Time spent along the perimeter

5 = 170 / t

t = 170 / 5

t = 34 secods

Therefore,

Time he will save by walking diagonally = 34 - 26 = 8 seconds

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How many species go extinct in an average day? a. 3 b. 72 c. 1000 d. 20000 please select the best answer from the choices provided a b c d

Answers

It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.

What are species?

Species exist as organisms that contain similar characteristics and exist capable of interbreeding. A common example is human beings.

It has been observed that over the years, species have been going extinct due to human reasons such as excessive hunting, environmental factors such as natural disasters, global warming, and also due to changes in their genetic makeup or reduced reproduction.

It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.

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Answer: Edge 2022, B. 72

Help me pls i very need your answer​

Answers

[tex]x = \frac{\sqrt{5} + 1}{2} \approx 1.618033989[/tex]

A sheet of glass has a density of 2.5 8 What is the density of the glass in k8 ? mi.

Answers

Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

How to determine the density of the sheet of glass in kg per m cubed?

The density of the sheet of glass  is given as

Density = 2.5g/cm cubed

Start by converting grams (g) to kilogram (kg)

This is done by dividing 2.5 by 1000

So, we have:

Density = 2.5/1000 kg/cm cubed

Evaluate the quotient

Density = 0.0025 kg/cm cubed

Next, we then convert cm cubed (cm^3) to meter cubed (m^3)

This is done by dividing the volume by 1000000

So, we have:

Density = 0.0025 kg/(1/1000000) m cubed

Express as product

Density = 1000000 * 0.0025 kg/m cubed

Evaluate the product

Density = 2500 kg/m cubed

Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

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Answer:

See below

Step-by-step explanation:

Are you wanting to convert density of   gm/ cm^3   to    kg/m^3 ??

    there are 100 x 100 x 100  cm^3 =  1,000,000  cm^3/ m^3

2.5 gm / cm^3   *  1 000 000 cm^3 / m^3   =  2, 500 000 gm / m^3

   now 1 kg is   1000 gm

2, 500 000 gm / m^3   *  1 kg / 1000 gm  = 2500 kg / m^3

Instructions: State what additional information is required in order
to know that the triangles in the image below are congruent for the
reason given.
Reason: AAS Postulate

Answers

∠KJI≅ZJX is the additional information.

What are the AAS congruency criteria?

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

We have been given that

⇒ kJ=ZJ

⇒∠KJI=∠ZJX (vertically opposite angle)

And we require one more angle which can't be on the non-included side

so we have only one angle that can satisfy this  

⇒∠JIK=∠JXZ

⇒ Now we can say that △KJI ≅ △ZJX is congruent with AAS congruency criteria

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find the slope given the following information
(3,7) and (-4,10)

Answers

Answer:

m=-3/7

Step-by-step explanation:

m=rise/run=Δy/Δx

m=y2−y1/x2−x1

m=10−7/−4−3

m=3/−7

m=−3/7

help me plss its ttm

Answers

For the first representation, the equation is : y = 3x-5.

For the second representation, the equation is : y = -12x+2.

For the third representation, the equation is : y = 5/4x-5.

For the fourth representation, the equation is: y = -6x+3.

Analyze the representations given in the question, in order to find its corresponding equation.

According to the question,

For the first representation, y=1 when x=2, y=-2 when x=1 and y=4 when x=3. On substituting these values of x and y in the given equations, we get that y = 3x-5.

Similarly, for the second representation, we get, y = -12x+2.

For the third representation, we get, y = 5/4x-5.

For the fourth representation, we get, y = -6x+3.

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Complete the equation.
2 x 4 =
x 2

Answers

2x4=8

8x2=16

the answer is 16

Using the image, find the midpoint of the line segment. Reduce all fractions and enter using a forward slash (i.e. "/").

Answers

Midpoint formula x1+x2/2, y1+y2/2
=5+5/2, 2+-5/2
=5, -1.5

Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).use ^2 for squared, ^3 for cubed,

Answers

The equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

The equation of a circle, with the center at the origin and the radius r units, is given as x² + y² = r².

In the question, we are asked to write the equation for a circle centered at the origin with x-intercepts of (-9, 0) and (9, 0).

We can find the radius of the circle using the distance formula,

D = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁, y₁) and (x₂, y₂) are the endpoints of a line segment.

Radius is the distance between the center and any point on the circle.

Thus, taking (x₁, y₁) as (0, 0), the origin, for the center, and (x₂, y₂) as (9, 0), for any point on the circle, we get the radius as:

r = √((9 - 0)² + (0 - 0)²),

or, r = √(9² + 0²),

or, r = √9² = 9.

Thus, the radius of the circle is r = 9 units.

Thus, the equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

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PLEASE HELP IM STUCK

Answers

Step-by-step explanation:

what is the problem ?

the solution of such a system of 2 equations is the point, where they cross.

this point has the same coordinates for both equations, and that is called the solution.

and we can clearly see that point in the graph :

(-1, 1)

formally we can solve that way

y = 2x + 3

y = -x

therefore,

2x + 3 = -x

3x + 3 = 0

3x = -3

x = -1

y = -x = - -1 = 1

so, we get

(-1, 1) as solution.

PLEASE HELP IN STUCK

Answers

Answer is -4x + 2y = -9

Step by step
Your original was 2y = 4x -9
You want the variables on the left side of the = sign
Subtract 4x from both sides
-4x + 2y = -4x + 4x -9
Combine like terms
-4x + 2y = -9
Problem solved

y = 3x + 15
3x + 3y = 9

Answers

Answer:

[tex]\Large\boxed{x=-3}[/tex][tex]\Large\boxed{y=6}[/tex]

Step-by-step explanation:

Given the system of equations

[tex]1)~y=3x+15[/tex]

[tex]2)~3x+3y=9[/tex]

Divide 3 on both sides of the 2) equation

[tex]3x+3y=9[/tex]

[tex]3x\div3+3y\div3=9\div3[/tex]

[tex]x+y=3[/tex]

Current system

[tex]1)~y=3x+15[/tex]

[tex]2)~x+y=3[/tex]

Substitute 1) equation into the 2) equation

[tex]x+(3x+15)=3[/tex]

Combine like terms

[tex]x+3x+15=3[/tex]

[tex]4x+15=3[/tex]

Subtract 15 on both sides

[tex]4x+15-15=3-15[/tex]

[tex]4x=-12[/tex]

Divide 4 on both sides

[tex]4x\div4=-12\div4[/tex]

[tex]\Large\boxed{x=-3}[/tex]

Substitute the x value into one of the equations to find the y value

[tex]y=3x+15[/tex]

[tex]y=3(-3)+15[/tex]

[tex]y=-9+15[/tex]

[tex]\Large\boxed{y=6}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A spaceship is traveling at a steady rate. The table shows the distance the spaceship travels in a given period of time. Find the distance the spaceship travels in 4 minutes.
Ty.

Answers

The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.

What is the distance the spaceship travels in 4 minutes?

The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;

Hence it follows from ratios that by observation, the linear relationship has a slope of 200mi/min.

Consequently, we can evaluate the distance travelled after 4 minutes as;

Distance = 200 × 4 = 800mi.

Ultimately, the distance travelled per minute by the spaceship is; 800mi.

Remarks:

600 miles

520 miles

800 miles

1,080 miles

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Find the general solution of the given system of odes. { dx/dt =2x 2y,dy/dt =x 3y}

Answers

The general solution of the given system of odes is

m=1 ; m=4    (real roots)

In arithmetic, a system of odes equations is a finite set of differential equations. Any such device may be either linear or non-linear. Also, such a machine can be both a machine of normal differential equations or a system of partial differential equations.

the compatibility conditions of an overdetermined system of odes equations may be succinctly stated in terms of differential forms (i.e., a shape to be specific, it needs to be closed). See integrability situations for differential systems for more.

It is an elaborately based poem praising or glorifying an event or character, describing nature intellectually as well as emotionally. A traditional ode is dependent on three essential parts: the strophe, the antistrophe, and the epode. Distinct forms together with the homostrophic ode and the abnormal ode also enter.

dx/dt = 2x+2y =   x^1 = 2x+2y     1

dy/dt = x+3y =    y^1 = x+ 3y        2

differentiating 1 with respect to 't'

x^11 = 2x^1+ 2y^1

y^1 = x+3y

x^11 = 2x^1= 2(x+3y)

x^11 = 2x^1+ 2x+ 6y

x^11 = 2x^1+ 2x+ 6(x^1-2x/2)

x^11 = 2x^1+ 2x+ 3x^1- 6x

x^11 = 5x^1 - 4x

x^11 -5x^1 - 4x

x^11 - 5x^1 -4x =0

Auxillary equation is m^5- 5m+4=0

m^2 - m - 4m + 4 = 0

m(m-1) -4 (m-1) =0

(m-1) (m-4) = 0

m=1 ; m=4    (real roots)

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Express each fraction as a decimal:

- 2 4/100

Answers

-0.24

this is because whenever it’s /100, the decimal at the back moves 2 twice

meaning it starts from -24. to -2.4 and lastly -0.24

whenever the dot ends at .24, a zero must be added
Other Questions
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