Need awnsers please

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

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Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

Answer:

Uhh i dont rly know sry

Step-by-step explanation:

Answer:

compound sentence

Step-by-step explanation:

Answer:

I think 72 inches I might be wrong

Answer:

The last option 8x + 4 = 196

Step-by-step explanation:

8x + 4 = 196

8x = 192

x=192/8

x=24

The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

A strategy is an approach that leads someone to the nearest of the solution of a problem.

Soni has 196 pencils.

Let, one box can accommodate x number of pencils.

Therefore 8 boxes can accommodate 8x number of pencils.

But she has 4 more pencils.

Hence, the required equation is 8x+4=196.

Learn more about the equation here :

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#SPJ2

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]

[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]

[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]

[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]

[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]

[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]

[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]

[tex] \hookrightarrow \: 0.4 + 1[/tex]

[tex] \hookrightarrow \: 1.4[/tex]

Answer:

i) yes

ii) it splits MN in half (bisector)

Step-by-step explanation:

We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).

(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).

Answer:

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

Y is output, x is input

Step-by-step explanation:

I. Given x is -1, 0, 1

II. Perform x in linear equation

           If x is -1

             y = 0.5(-1) + 2

             y = 1.5  

            => (-1, 1.5) -1 is x, 1.5 is y

            If x is 0

               y = 0.5(0) + 2

               y = 2

              => (0, 2) 0 is x, 2 is y

            If x is 1

                y = 0.5(1) + 2

                y = 2.5

               => (1, 2.5) 1 is x, 2.5 is y

III. Perform (x, y) in graph, there will be something like this

Amount in her checking and saving account is $255 and $595

Given information:

Total amount in both accounts = $850

Ratio of checking to saving account = 3:7

Find:

Amount in her checking and saving accounts

Computation:

Total of ratio = 3 + 7

Total of ratio = 10

So,

[tex]Amount\ in\ her\ checking\ account = 850 \times \frac{3}{10}[/tex]

Amount in her checking account = $255

[tex]Amount\ in\ her\ saving\ account = 850 \times \frac{7}{10}[/tex]

Amount in her saving account = $595

Learn more:

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Answer:

[tex]thank \: you[/tex]

Answer:

x = 3

Step-by-step explanation:

The axis of symmetry passes through the vertex of the graph with equation

x = c

where c is the value of the x- coordinate of the vertex

The vertex is at (3, - 2 ) with x- coordinate 3 , then

x = 3 ← equation of axis of symmetry

Answer:

3. MNP = OPN

Step-by-step explanation:

the second could be as well, but the sequence is the same for the third option, thus the second option is wrong

Let the small , medium and large baskets be denoted by s,m & l

Formulating the equations

s+m+l= 80--------- equation1

$15.75s+ $25 m + $32.5l = $2086.25------equation2

2s=l---------equation 3

Using the technology  s=15, m=35 and l= 30

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

2(15)=(30)---------equation 3

Yes because multiple variables can be easily calculated through matrices using technology

In Matrix form

[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]     = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]

Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]    

B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Z= A⁻¹ B

A⁻¹= A mod/ det A

det A= -1

Using the technology  s=15, m=35 and l= 30

15 small baskets,

35 medium baskets

30 large baskets were sold.

Part C:

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

236.25+ 875+ 975=$2086.25

$2086.25=$2086.25

2(15)=(30)---------equation 3

Answer 2:

Yes because multiple variables can be easily calculated using technology.

N.B There is a typing error in question its $2086.25 not 52086.25

Answer:

Any value you choose for x will make the equation a TRUE statement.

Answer:

B

Step-by-step explanation:

It implies that his plane ticket and other expenses should all be less than the $2000 he has saved.

Answer:

Why do you keep sending the same question over and over again?

Step-by-step explanation:

Total Time Taken = 16secs

10a). We're asked to calculate the rate of speed change for the first 5secs.

This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.

Why?

Acceleration is the rate of change of speed or the rate at which speed changes.

acceleration = v - u/t

where v = Final Speed

u = initial Speed.

Looking at the graph

You see that

Initial speed(u) = 1m/s

Final Speed(v) = 9m/s

t = 5secs

Acceleration = 9 - 1/ 5

a = 8/5

a = 1.6m/s².✅

10b)

We're asked to calc "t" from the graph.

Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².

This simply means that Constant Acceleration was held from "t" to the end of the Motion.

Do not confuse Constant Acceleration for Constant Velocity.

At Constant Velocity... Acceleration is zero(0)

At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.

Taking the same step as we used in calculating acceleration above

Given a= 2m/s²

a = v - u/∆t

Where ∆t means time change or difference.

From "t" to 16

The change in time is 16 - "t"

2 = 21 - 9/( 16 - t)

2 = 12/16-t

16-t = 12/2

16 - t = 6

t = 16 - 6

t = 10secs.✅

Have a great Day!.

Answer:

gien

Step-by-step explanation:

Answer:

76°

Step-by-step explanation:

Angles adjacent to equal sides of a triangle are equal.

Exterior angle

= Sum of interior opposite angles

= 38° + 38°

= 76°

Answer:

12 cm squared

Step-by-step explanation:

1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):

113.1 cm / 3.14 = 36.00084813

2. What you get is the radius which you have to square:

36.00084813 squared = 6.000070677

3. Now you double the radius in order to get the diameter:

6.000070677 x 2 = 12.00014135

12.0 cm squared

You can't round 17 to the nearest tenth of an inch because 17 is a whole number.

Answer:

-2

Step-by-step explanation:

when x=0 y=-2... it is a decline

Answer:

£ [tex]36[/tex]

Step-by-step explanation:

In this situation, the price of an item is (£ [tex]45[/tex]). It is given that there is a ([tex]\frac{1}{5}[/tex]) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:

[tex](1-(rate\ of\ discount))(original\ price)=sale\ price[/tex]

Substitute the given values into this equation:

[tex](1-\frac{1}{5})(45)=sale\ price[/tex]

Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.

[tex](1-\frac{1}{5})(45)=sale\ price[/tex]

[tex](\frac{5}{5}-\frac{1}{5})(45)=sale\ price[/tex]

[tex](\frac{5-1}{5})(45)=sale\ price[/tex]

[tex](\frac{4}{5})(45)=sale\ price[/tex]

Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).

[tex](\frac{4}{5})(45)=sale\ price[/tex]

[tex](4)(45 / 5)=sale\ price[/tex]

[tex](4)(9)=sale\ price[/tex]

[tex]36=sale\ price[/tex]

Answer:

The answer is 36$

Step-by-step explanation:

Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

Answer:

Below.

Step-by-step explanation:

(a) Over the first 5 seconds rate of change of speed

= (9-1)/5

= 8/5

= 1.6m/s^2

(b) (21-9)/16-t) = 2

12/16-t = 2

32 - 2t = 12

32 - 12 = 2t

20 = 2t

t = 10 seconds

Step-by-step explanation:

Total Time Taken = 16secs

10a). We're asked to calculate the rate of speed change for the first 5secs.

This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.

Why?

Acceleration is the rate of change of speed or the rate at which speed changes.

acceleration = v - u/t

where v = Final Speed

u = initial Speed.

Looking at the graph

You see that

Initial speed(u) = 1m/s

Final Speed(v) = 9m/s

t = 5secs

Acceleration = 9 - 1/ 5

a = 8/5

a = 1.6m/s².✅

10b)

We're asked to calc "t" from the graph.

Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².

This simply means that Constant Acceleration was held from "t" to the end of the Motion.

Do not confuse Constant Acceleration for Constant Velocity.

At Constant Velocity... Acceleration is zero(0)

At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.

Taking the same step as we used in calculating acceleration above

Given a= 2m/s²

a = v - u/∆t

Where ∆t means time change or difference.

From "t" to 16

The change in time is 16 - "t"

2 = 21 - 9/( 16 - t)

2 = 12/16-t

16-t = 12/2

16 - t = 6

t = 16 - 6

t = 10secs.✅

Have a great Day!.

Answer:

3

Step-by-step explanation:

A algebraic transformation is represented by

[tex]a(bx - h) + k[/tex]

where a is the vertical compression or stretch. a is also the vertical reflection if value is negative . B is the horizontal compression or stretch it is also a horizontal reflection if it value is negative. h is the horizontal shift. And k is the vertical shift.

3 replaces k in this scenario for the vertical translation so 3 is the answer.