What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.

Answers

Answer 1

Answer:

Step-by-step explanation:

We need to know how to deal with absolute values to solve this. Remember that absolute value is a distance measure, not a counting number. The absolute value is the distance that 2 numbers are away from a specific number on the number line; the distance from the number will be the same distance going right and left of the number. For example, if we are looking for the numbers that are 3 units from 0 on a number line, the 2 numbers that are 3 units away are 3 and -3.

We will simplify our absolute value equation a bit first by dividing away the 2 out front. It is very important that you realize/remember that you cannot distribute into absolute value signs the way you would parenthesis!! Dividing away the 2 gives us

| x + 5.3 | = 2.1

In words, this problem is asking us for the 2 values that are 2.1 units from 5.3 on a number line. Hence, when we remove the absolute value signs, we set the equation equal to both 2.1 and -2.1 because we want the values 2.1 units to the right AND left of 5.3:

x + 5.3 = 2.1   or   x + 5.3 = -2.1 and we solve both:

for the first one, x = -3.2 and for the second one, x = -7.4.  Your option is the third one: "x can equal -3.2 or -7.4".

Answer 2

Answer:

C

Step-by-step explanation: i was too lazy to read all of that and guessed and i was right lol


Related Questions

What is the midpoint of the segment shown below?
(-2,3) (10,3)

A. (5,3)
B. (3.2, 3)
C. (4,3)
D. (4.2,3)

SUBMIT

Answers

Answer:

(4,3)-C

Step-by-step explanation:

this is a horizontal line so...

you need to keep the same y-values and find the average of the x-values

[tex]\frac{-2+10}{2} = \frac{8}{2} = 4[/tex]

this means that the x-coordinate is 4

and the y-coordinate is 3

(4,3)

Hope this helped

have a good day

Answer:

(4,3)

Let the points be A and B

A(-2,3)---->(X1,y1)

B(10,3)---->(x2,y2)

Now,

[tex]midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} ) \\ = ( \frac{ - 2 + 10}{2} \:, \frac{3 + 3}{2} ) \\ = ( \frac{8}{2} ,\frac{6}{2} ) \\ = (4 ,\: 3)[/tex]

Hope this helps...

Good luck on your assignment..

In 1995 the usps approximated that they handled 1.8 x 10 pieces of mail. In 2010 the USPS reported that they handled 1.7 x 10 pieces how many more pieces of mail were handled in 1995 than in 2010

Answers

Answer:

1 piece of UPS

Step-by-step explanation:

Here, we want to know the difference in the number of pieces handled at the different times

In 1995, amount handled = 1.8 * 10 = 18 pieces

In 2000, amount handled = 1.7 * 10 = 17 pieces

The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is .

Answers

Answer:

When the input is 4, the output of f(x) = x + 21 is 25.

Step-by-step explanation:

The given function is  

[tex]f(x)=x+21[/tex]

Here, x is input and f(x) is output.

We need to find the output of the given function f(x) if the input is 4.

Substitute x=4 in the given function.

[tex]f(4)=4+21[/tex]

[tex]f(4)=25[/tex]

So, the output value is 25.

When the input is 4, the output of f(x) = x + 21 is 25.

It would be SUPER helpful if you could answer this question! The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid?
A. 3
B. 6
C. 9
D. 12

Answers

Answer:

  B.  6

Step-by-step explanation:

The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.

The volume ratio is 6.



Find the terminal point on the unit circle determined by

2pi /3

radians.

Use exact values, not decimal approximations.

Answers

Answer:

This is just basic 30-60-90 triangle stuff, recognizing that the angle takes you into the 2nd quadrant.

-0.5 + i(√3)/2 in the complex plane or

(-.05, (√3)/2 ) in the xy-plane

Step-by-step explanation:

ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC​

Answers

Answer:

Step-by-step explanation:

Given that,

ABC is an Isosceles triangle.

In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.

It is als given that D is the mid point of BC.

i.e., BD = CD

Therefore,

By SAS theorem of congruency of triangles,

ABD = ACD

If this is the answer required, hope it helps...

factorising quadratics

All questions please to be completed. I’m stuck.

Answers

Answer:

1. (x +1)(x - 1)

2. (x+5)(x-5)

3. (x+12)(x-12)

4. (x+14)(x-14)

5. (x+5)(x-7)

Step-by-step explanation:

The first 4 expressions can be factored with the difference of squares type of factoring.

For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are

What is the largest integer $n$ such that $7^n$ divides $1000!$ ?

Answers

Answer:

The correct answer is

n = 3038

Step-by-step explanation:

Where we have;

We note that 1000! = An even number

Since Even × Even = even

Even × Odd = Even

Also, 7ⁿ is an Odd number since odd × odd = odd

Therefore 7ⁿ will divide 1000! with some fractions as follows;

1000! divided by 7ⁿ

When 7ⁿ = 1000!

log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)

n·log(7) = 2567.604

n = 2567.604/(log(7)) = 3038.23

Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038

Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.

Please help! Please help me answer this question,

Answers

Answer:

A-4

B-5

C-1

D-3

E-2

Step-by-step explanation:

They all have the same explanation u have to find the point where the line coincides with the x and y axis

E.g on how to work out

Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate

C=2x+y=4

To get x 2x+0=4 x=2

Y 0+y=4 y=4

After doing so u locate the line that passes through (2,0),(0,4)

Hope it helps

Answer:

Can you send a screen shot of each graph  because its hard to see the  coordinate

Step-by-step explanation:

I don’t understand how to do this

Answers

Answer:

1) 2

2) 1

Step-by-step explanation:

1) According to the law of exponents, [tex]x^0 = 1[/tex]

= [tex]2 (\frac{3}{5} )^0[/tex]

=2(1)

= 2

2) [tex](-7)^0[/tex]

= 1

Use the function below to find

Answers

Answer:

f(x) =1/3 × 4^x

f(4) = 1/3 × 4⁴

= 1/3 × 256

= 256/3

Hope this helps

Divide up the number 480 in a 3:5 ratio.

Answers

Step-by-step explanation:

Hers your answer friend

Answer:

180 and 300

Step-by-step explanation:

We want to divide up the number 480 in a 3:5 ratio.

=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.

=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:

60x3=180 and 60x5 = 300.

Check:

180:300 ratio <=> 3:5 ratio (valid)

Hope this helps!

7.30 x 1.35564873÷547068​

Answers

Answer:

0.00001808958

Step-by-step explanation:

hope this helps you :)

What is the simplified expression for 3a²+9ab+5-4a²-4ab+3 ​

Answers

Answer:

5ab + 8 - 1a^2.

Step-by-step explanation:

Combining like terms, we get 3a^2 - 4a^2 = -1a^2. We get 9ab - 4ab = 5ab. Then we get, 5 + 3 = 8. Together this is 5ab + 8 - 1a^2

Answer:

-[tex] {a}^{2} + 5ab + 8[/tex]

solution,

[tex]3 {a}^{2} + 9ab + 5 - 4 {a}^{2} - 4ab + 3[/tex]

collect like terms:

[tex]3 {a}^{2} - 4 {a}^{2} + 9ab - 4ab + 5 +3[/tex]

Simplify:

[tex] - {a}^{2} + 5ab + 8[/tex]

hope this helps ..

Good luck on your assignment..

please help me with this question....

Answers

107 as the median is the middle number and the middle number falls between 106 and 108 therefore it’s 107 :)

Answer:

107

Step-by-step explanation:

Median is the middle most no.

=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median

=> Median = [tex]\frac{106+108}{2}[/tex]

=> Median = 107

FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).

Answers

the sales tax is 2.88 because 6% of 48 is 2.88 so the original price before tax was applied was 45.12

Step-by-step explanation:

before tax it would be 6/100×48=$2.88

so therefore before tax = $48-2.88=$45.12

final price after tax =$48+2.88=$50.88

What inequality represents this graph?

Answers

Answer:

y ≤ 3

Step-by-step explanation:

All values will work all the way up to 3 (including 3). However, no solution would work after the value 3. So, your inequality would be y ≤ 3.

Answer:

y ≤ 3

Step-by-step explanation:

all y values lower than or equal to 3 are part of the shaded area.

To locate the percentile for a given observation in a data set, the data must be ___________. Select one: a. Displayed in a histogram b. Sorted and listed from the minimum to the maximum values c. Distributed symmetrically around the mean d. Summarized in a frequency distribution

Answers

Answer:

b. Sorted and listed from the minimum to the maximum values

Step-by-step explanation:

A percentile can be defined a measure that is made use of statistics.

A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.

A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.

In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.

Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest

Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)

Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.

The formula for calculating a percentiles is given as

= (P/100) x N,

where

P = percentile

N = number of values in a data set (sorted or arranged from lowest to highest)

n = Rank of a given value.

Bridget, Jim and Krutika share some sweets in the ratio 4:3:1. Bridget gets 45 more sweets than Krutika. How many sweets are there altogether?

Answers

Answer:

120 sweets

Step-by-step explanation:

Bri:Jim:Kru

4: 3: 1

find the difference in the ratio of Bridget and Krutika

4-1=3

ratio 3 is equivalent to 45 sweets

total ratio(4+3+1)--------> ?

total no. of sweets= 8x45

3

=120sweets

If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is

Answers

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

find the zeros of quadratic polynomial X2 - 2x - 8​

Answers

Answer:

The zeroes of a polynomial is the value of x when the polynomial is set to 0.

We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.

If f(x) is a linear function and given f(3)=−3 and f(8)=1, determine the linear function. a.) What is the slope? (Be sure to leave your answer in reduced fraction form.) b.) What is the y-intercept? (Be sure to leave your answer in reduced fraction form.) c.) What is f(x)? f(x)=

Answers

Answer:

slope is 4/5

y intercept is  -27/5  

f(x) =  4/5x -27/5

Step-by-step explanation:

The slope is

f(8) - f(3)

----------------

8-3

1 - -3

------------

8-3

1+3

------------

5

4/5

We can use the slope intercept form to find the y intercept

y = mx+b where m is the slope and b is the y intercept

y = 4/5x +b

Using the point (8,1)

1 = 4/5(8)+b

1 = 32/5 +b

Subtract 32/5 from each side

5/5-32/5 = b

-27/5 = b

y = 4/5x -27/5

f(x) =  4/5x -27/5

Soraya earned $40 in October. She earned $50 in November. What is the percent increase or decrease in Soraya's monthly earnings?

Answers

Answer:

25% increase

Step-by-step explanation:

Apex

The percent increase in Soraya's monthly earnings is 2.5%

What is Percent Increase?

Increase expressed as a percentage is referred to as a percentage increase. When comparing growth in a quantity through time, from its beginning value to its ultimate value, the percentage increase formula is utilised.

Given:

Soraya earned $40 in October.

She earned $50 in November.

Change in amount= 50- 40= $10

So, percent increase = 10/ 40 x 100

                                   = 2.5%

Hence, the percent increase is 2.5%

Learn more about percent increase here:

https://brainly.com/question/13533684

#SPJ2

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

Answers

Answer:

[tex]\frac{3}{88}[/tex]

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

[tex]=\frac{1 * 3}{8 * 11}[/tex]

[tex]= \frac{3}{88}[/tex]

At this point, the fraction can't be simplified any further.

Hence,

[tex]\frac{1}{8} * \frac{3}{11} = \frac{3}{88}[/tex]

2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.

Kyle has made a model of a Sled kite as shown below. Show that the angles
(JUSTIFY)

Answers

Show that the angles A and B are congruent

Answer:

[tex]\angle A =\angle B =90^\circ[/tex]

Step-by-step explanation:

The diagram of the sled kite is attached below.

The central part of the kite is square.

We know by the property of a square that all its angles are congruent and equal to 90 degrees.

Therefore:

[tex]\angle A =\angle B =90^\circ[/tex]

Angles A and B are congruent.

A bird was flying and saw a bunch of others and said to them, hello one hundred, and one of the birds from the bunch said we need twice the number of us and one of you (The bird flying) to be one hundred, and now my question is how many birds were flying, (not in total) but before the bird who was flying saw them.​

Answers

Answer:

hey!

you said:

A bird was flying and saw a bunch of others and said to them, hello one hundred, and one of the birds from the bunch said we need twice the number of us and one of you (The bird flying) to be one hundred, and now my question is how many birds were flying, (not in total) but before the bird who was flying saw them.​

Step-by-step explanation:

i think that the answer is 49.5 bids were flying because there needs to be tice the number plus 1 to get to 100. iknow there cant be 49.5 birds so round it up to 50 and plus the bird i see that there may have been 50 birds flying.

hope this helps

pls put brainliest

Urgent plz please please❤️

Answers

Answer:

see below

Step-by-step explanation:

The domain is  the possible x values

For the top graph x goes from 0 to 240

0 ≤x≤240

For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6

-3 < x ≤6

(-3,6]

The range is the possible y values

The lowest value of y is -5 and the largest is 7

-5 ≤y≤7

[-5,7]

Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y and Z Y are tangents that intersect at point Y outside of the circle. Which kind of triangle must triangle XYZ be? an equilateral triangle an isosceles triangle a scalene triangle a right triangle

Answers

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90°  (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

Answer:

B. an isosceles triangle

Step-by-step explanation:

Mark wants to invest 10,000 in a cd for at least 10 years the first choice is a cd that pays 4% annually and uses simple interest what is the total value after 10 years

Answers

Answer: 14000

Step-by-step explanation:

From the question, the first thing is to first calculate the simple interest (S.I). This will be:

S.I = (principal × rate × time)/100

where principal = 10,000

rate = 4%

time = 10 years

Simple interest = (10,000 × 4 × 10)/100

= 400000/100

= 4000

The total value after 10 years will be th addition of the amount invested and the interest. This will be:

= 10,000 + 4000

= 14000

Write the equation of the line in point-slope form that passes through the point (-2.3)
1
and has a slope of
2

Answers

Answer:

work is pictured and shown

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