Evaluate the expression: 10 - 1 × (2 + 1)2

Answer:

C. $21 (as well as B)

Step-by-step explanation:

→ $4.20 × $ 5.00 = ?

→ 4.20 × 5.00

→ 4.2 × 5.0

→ 21 {final answer}

Hence, option (C) is answer.

Answer:

x [tex]\geq[/tex] 4

Step-by-step explanation:

-4(8-3x)[tex]\geq[/tex]6x-8 multiply inside the parenthesis with -4

12x - 32 [tex]\geq[/tex] 6x - 8 export like terms to the same side of the inequality

12x - 6x [tex]\geq[/tex] 32 - 8

6x [tex]\geq[/tex] 24 divide both sides by 6

x [tex]\geq[/tex] 4

What is the solution to -4(8 - 3x) ≥ 6x - 8 ?

Assume this ≥ sign as = sign

By simplifying the left hand side we get

Transposing them to the other side

Hence, the correct answer is the third option i.e. x ≥ 4

Answer:

A) (0,-3)

Step-by-step explanation:

to get the y-intercept let x = 0, then

y = 0 + 0 -3

y = -3

Answer:

(0,-3)

Step-by-step explanation:

The y intercept is where x=0

ƒ(x) = –x^2 + 4x – 3?

f(0) = -0^2 +4(0)-3

f(0) = -3

(0,-3)

Answer:

=2x-3 / x=5

=2(5)-3

=10-3

=7

Answer: 7x5x4=140^3

140

Step-by-step explanation:

Answer:

-14.

Step-by-step explanation:

- because of the -14x^6

Answer:

-14

Step-by-step explanation:

3x2 - 14x6 + 6x3 + 12x +5x5

Rewriting in standard form

-14x^6 +5x^5 +6x^3 +3x2 +12x

The coefficient of x^6 is -14

Answer:

2 yrs

Step-by-step explanation:

SI =PTR/100

738=8200 x T x 4.5 /100

738 x 100 / 8200 x 4.5 = T

T =2

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

Answer:

Step-by-step explanation:

each side of workshop = x

area of workshop = x²

each side of garage = 4x

area of garage = (4x)² = 16x²

total area = x² + 16x² = 17x²

17x² = 612

x² = 36

x = √36 = 6 ft

each side of workshop = 6ft

each side of garage = 24ft

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Answer: f(t) = 1.5t + 5

Answer:

1/334

Step-by-step explanation:

There are 31 days in May, subtract that from 365 days and you get 334, and there is an equal chance that she is born in any one of those 334 days, thus 1/334.

Answer:

(-infinity, -1/2] and [3, infinity]  Let e know if anything didn't make sense.  

Step-by-step explanation:

A good way to think about it is a graph is either at 0, greater than 0 or less than 0.  If you can find all of the zeroes  then you can test each zero by checking points before and after.  the graph will either cross and change signs, or stay the same.

So we want to find the zeroes.

Much like the factored form of a quadratic (x - a)(x - b) this inequality has two expressions  being multiplied together, so if you can find when they are 0 you will have all the zeros.  We shoudl also check when they do not exist just to be safe.

(x^2 - 3x) itself is a quadratic.  so lets find its zeroes.

x^2 - 3x

x(x - 3)

So the zeroes are 0 and 3.  lets find the zeroes of the other expression before checking signs.

sqrt(2x^2-3x-2) will be at 0 when the quadratic inside is at 0, and will not exist if the quadrati is negative, so let's look for both.  first the 0s.  I am going to complete the square

2x^2 - 3x - 2 = 0

2(x^2 - (3/2)x - 1) = 0

2[(x - 3/4)^2 - 25/16] = 0

2(x - 3/4)^2 - 25/8 = 0

2(x - 3/4)^2 = 25/8

(x - 3/4)^2 = 25/16

x - 3/4 = +/- 5/4

x = +/-5/4 + 3/4

x = -2/4 or 8/4

x = -1/2 or 2

Let me know if you couldn't follow that.  Anyway, using those zeroes we can tell 2x^2 - 3x - 2 is negative  between the two zeroes, since it is a parabola that opens upwards and crosses the x axis at those zeroes.  this means sqrt(2x^2 - 3x - 2) does not exist from x=-1/2 and x=2.  This means for the other zero above at x=0, the iequality will not exist.  So now we have 3 points to look at.

-1/2 for its first 0 and where it then stops existing up to 2, which is also a 0.  Finally 3 is the last 0.

at x=-1/2 all values before it are positive

x=2 has values immediately after it negative

x=3 then it switches so all values after that are positive since it is the last 0

Now we know that (x^2 - 3x) * sqrt(2x^2 - 3x - 2)is positive or equal to 0 along the intervals, (-infinity, -1/2] and [3, infinity]

Answer:

Step-by-step explanation:

-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.

Answer:

y = (√x/2) ± 2

Step-by-step explanation:

Here, we want to get the inverse of the given function

y = 2x^2 - 8

make x the subject of the formula

y + 8 = 2x^2

Divide through by 2

y/2 + 4 = x^2

x = √y/2 ± 2

Now switch place for x and y

y = (√x/2) ± 2

Answer:

d

Step-by-step explanation:

Answer:

q.4 's answer is d. miles

q.5 's answer is 3

q.6 's answer is 6

can you tell what the dot means i can tell you the other two's too

Answer:

The measure of angle B is 29°.

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

[tex]\rm\implies -\dfrac{1}{2}n^2+18=0 [/tex]

Subtracting 18 both sides ,

[tex]\rm\implies -\dfrac{1}{2}n^2 = -18 [/tex]

Multiplying both sides by -2 ,

[tex]\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18 [/tex]

On simplyfing , we get ,

[tex]\rm\implies n^2= 36 [/tex]

Putting squareroot both sides ,

[tex]\rm\implies n= \sqrt{36} [/tex]

This equals to ,

[tex]\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }} [/tex]

Hence the value of n is ±6 .

Answer:

13 degrees

Step-by-step explanation:

Let x be the degree measure of the angle's complement

Then we have the other angle is x + 64

Because the 2 angles complement each other so the sum of the 2 angles is 90

So we have the equation: 2x + 64 = 90

<=> 2x = 26

<=> x = 13

Answer:

y = -x -2

Step-by-step explanation:

-1 is the slope

-2 is the y-intercept

slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1

Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Answer:  Choice C.  mean > median

================================================

Explanation:

Multiply each measure with their corresponding frequency.

Add up those products: 8+30+28 = 66

Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.

mean = 11

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

Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.

Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.

Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.

median = 10

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

The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.

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

We have the following summary

With that in mind, let's go through the answer choices.

the first option would be the answer

Answer:

the minimum distance each of them can cover equally is 8 m.

Step-by-step explanation:

Given;

different distance covered by Laiba, tauseef and Nadia = 24 m, 42 m and 52 m

for the 24 m, distance covered by each = 24 m/3 = 8 m

for the 42 m, distance covered by each, = 42 m/3 = 14 m

for the 52 m, distance covered by each, = 52 m/3 = 17.33 m

From the results above, the minimum distance each of them can cover equally is 8 m.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

There are no solutions to the equation.

»»————-　★　————-««  

Here’s why:    

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x':}}\\\\3x-7=3x-2\\-----------\\\rightarrow 3x - 7 + 7 = 3x - 2 + 7\\\\\rightarrow 3x = 3x + 5\\\\\rightarrow 3x - 3x = 3x - 3x + 5\\\\\rightarrow \boxed{0 = 5}\\\\-----------\\\text{The answer boxed is a \textbf{contradiction. }}\text{Therefore, there is no solution.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

it has no solution

Answer:

-3/2

Step-by-step explanation:

the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.

so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.

so, the slope is

-6/4 = -3/2

Answer:

10w^3+20w^9

Step-by-step explanation:

5w^2(2w+4w^7)

distribute

5w^2 * 2w + 5w^2 (4w^7)

10w^3+20w^9

Answer:

10w^3+20w^9

Step-by-step explanation:

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.