Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)

Answer: A) 21.25 ≤ x ≤ 22.75

Step-by-step explanation:

Given, Average weight of basketballs = 22 ounces

It is possible for its weight to vary at most 0.75 ounces from this average.

Let x denotes the weight of the basket ball.

Then, the required range  for a basketball's weight:

Average-0.75 ≤ x ≤ Average+0.75

⇒22-0.75 ≤ x ≤ 22+0.75

⇒21.25 ≤ x ≤ 22.75

Hence, the range for a basketball's weight: 21.25 ≤ x ≤ 22.75 .

Correct option: A) 21.25 ≤ x ≤ 22.75

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

From the question the y intercept is 3

and the slope is 2

Substituting the values into the above equation

We have

Hope this helps you

The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].

The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:

[tex](y-y_1)=m(x-x_1)[/tex]

Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].

So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].

So, the equation of the line is

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-3)=2(x-0)[/tex]

[tex]y-3=2x-0[/tex]

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

So, option B is correct.

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Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Answer: The answer is 6x + 2(−2x + 1) = 22

Answer:

1/4

1/2

3/4

Step-by-step explanation:

Given:

Types of colors in the spinner

Yellow 1

Red 2

Blue 1

Total:4

Successful outcome of Yellow:1

Successful outcome of Red:2

Successful outcome of Blue:1

Required:

Probability of the

Formula:

Probability= successful outcome ÷ possible outcome

Solution

Probability=1 ÷ 4

Probability= 2÷4

Probability= 3÷4

Hope this helps ;) ❤❤❤

Answer:

1.9cm

Step-by-step explanation:

The density d of a material is related to its mass m and volume V as follows;

d = [tex]\frac{m}{V}[/tex]             ------------------(i)

The material in question here is the lead ball.

Now, from known experiment;

the density of lead is 11.34g/cm³

From the question, the weight/mass of the lead ball is 326g

Substitute these values into equation (i) as follows;

11.34 = [tex]\frac{326}{V}[/tex]

V = [tex]\frac{326}{11.34}[/tex]

V = 28.75cm³

Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;

V = [tex]\frac{4}{3} \pi r^3[/tex]          [V = volume, r = radius]

V = 28.75cm³

=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]

=> 3 x 28.75 = 4 π r³

=> 86.25 = 4 π r³

=> 21.5625 = π r³      [Take π = 3.142]

=> 21.5625 = (3.142) r³      [divide both sides by 3.142]

=> 6.86 = r³              [Take the cube root of both sides]

=> ∛6.86 = ∛r³

=> 1.90 = r

Therefore, the radius is 1.9cm to the nearest tenth

Answer:

isosceles

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

[tex]5t-3=3t-5[/tex]

Add 3 to both sides.

[tex]5t=3t-2[/tex]

Subtract 3t from both sides.

[tex]2t=-2[/tex]

[tex]t=-1[/tex]

Hope this helps!

Answer: t=-1

Step-by-step explanation:

1) add 3 to both sides

2) subtract 3t from both sides

3) Divide both sides by 2

Answer:

Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of the rectangle = 2 × (5x² - 2x + 3)

= 2 × 5x² - 2× 2x + 2×3

= 10x² - 4x + 6 square units

Answer:

1 3/4

Step-by-step explanation:

5/4 + 1/2

Get a common denominator of 4

5/4 * 1/2 *2/2

5/4 + 2/4

7/4

Rewriting as a mixed number

4/4 + 3/4

1 3/4

Answer:

Ones: 91

Hundredths: 91.20

Step-by-step explanation:

All numbers that comprises the digits, 91.20, have place value.

The 9 in the digit has a place value of tens, i.e. 9*10 = 90.

The 1 has a place value of one's, i.e. 1*1 = 1

The 2, after the decimal point to the right, has a place value of tenth, i.e. 1*10-¹ = ⅒ = 0.1

While the zero has a place value of hundredth.

Therefore, the digits, in the ones place = 91

In the hundredths place = 91.20

Answer:

13.28

Step-by-step explanation:

Take the total amount she has and subtract what she just earned

23.43 - 10.15

13.28

This is what she had before she started cleaning

Answer:

Step-by-step explanation:

23.43 - 10.15= 13.28 $

Answer:

Construction II

Step-by-step explanation:

Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.

Question

If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = [tex]\frac{15 c.p}{12}[/tex]       =   [tex]\frac{5c.p}{4}[/tex]

s.p  =  [tex]\frac{5c.p}{4}[/tex]

substitute  s.p  =  [tex]\frac{5c.p}{4}[/tex]   into the formula

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

      =[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex]     ×    100%

       =  [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex]      ×    100%

  =   [tex]\frac{c.p}{4}[/tex]   ÷   c.p      ×    100%

= [tex]\frac{c.p}{4}[/tex]     ×   [tex]\frac{1}{c.p}[/tex]    ×    100%

=   [tex]\frac{1}{4}[/tex]  ×    100%

=  25 %

Answer:  No they are not inverses.

Step-by-step explanation:

If they are inverses,  then the inverse of f(x) will equal g(x).

[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]

f⁻¹(x) ≠ g(x) so they are not inverses

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

Answer:

C. Test for Goodness-of-fit.

Step-by-step explanation:

C. Test for Goodness-of-fit would be most appropriate for the given situation.

A. Test Of  Homogeneity.

The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.

B. Test for Independence.

The chi square  is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.

C. Test for Goodness-of-fit.

The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with  their estimates and provided that one degree of freedom is deducted for each parameter estimated.

Answer:

3

Step-by-step explanation:

Answer: x = -5 and x = 3

Step-by-step explanation:

on edg

Answer:

14

Step-by-step explanation:

I attached a picture and I hope this helps ;) ❤❤❤

Answer:

The third number is 14

Step-by-step explanation:

To find the average of 3 numbers add the three numbers and divide by 3

Let x be the third number

( 45+16+x) /3 = 25

Multiply each side by 3

( 45+16+x) /3 *3 = 25*3

( 45+16+x) = 75

Combine like terms

61+x = 75

Subtract 61 from each side

61+x-61 = 75-61

x = 14

Answer:

Barry has to pay back $1150

Step-by-step explanation:

We can set up an equation to help solve this problem

x is the amount he has to pay back

x=1000+3(1000/20)

1000/20 lets us know how many times he borrowed 20 dollars

x=1000+3(50)

x=1000+150

x=1150

Barry has to pay back $1150

If Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. Then Barry has to pay back $1150.

Two or more expressions with an equal sign is called as Equation.

We can set up an equation to help solve this problem

x is the amount he has to pay back.

x=1000+3(1000/20)

1000/20 lets us know how many times he borrowed 20 dollars

x=1000+3(50)

x=1000+150

x=1150

Hence, Barry has to pay back $1150.

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Answer:

The diagonal of kite intersect at the point p is C. 68°

Answer:

You get 12$ per B and 15$ per A.  Thus, the answer is A) $282

Step-by-step explanation:

4A+4B=108

Divide by 4

A+B=27

Subtract B

A = 27 - B

3A+5B=105

Substitution

3(27-B)+5B = 105

Distribute

81-3B+5B=105

Combine like terms

81+2B=105

Subtract 81

2B=24

Divide by 2

B = 12

A = 15

14(15)+6(12)=x

210+72=x

282=x

Hope it helps <3

Answer: l = 60 ft and w = 30 ft

P = 2(l + w)

180 = 2(l + w)

Let x = width of his yard

Let 2x = length of his yard

[tex]180=2(2x+x)[/tex]

[tex]\frac{180}{2}=\frac{2(2x+x)}{2}[/tex]

[tex]90=3x[/tex]

[tex]\frac{90}{3} =\frac{3x}{3}[/tex]

[tex]x=30ft[/tex]

l = 2x = 30(2) = 60 ft

Check:

180 = 2(l + w)

180 = 2(60 + 30)

180 = 2(90)

180 = 180

LS = RS

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

Answer:

B

Step-by-step explanation:

sqrt30 -6^2 doesn't work

2.5 sqrt18 and 5 do work

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

Answer:

-9.6

Step-by-step explanation:

[tex]2\frac{2}{5} =2.40\\-\frac{1}{4} =-0.25[/tex]

If change them into decimals it looks like that.

Then all you have to do is use standard calculator to find the answer.

[tex]\frac{2.40 }{-0.25} =-9.6[/tex]

Answer:9 and 3/8  

Step-by-step explanation:

you have to make 2 and 2/5 into an improper fraction then make the -1/4 into a -4/1 then multiply across to make 48/5 then you have to reduce down to 8 and 8/5. but that cant happen so you reduce again and get 9 and 3/8.

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

Answer:

It will take 1 hour and they will have 11 baskets

Step-by-step explanation:

Dave

6 + 5h = b

Emily

9 + 2h=b

where h = hours  and b = baskets

Setting the equations equal to each other

6+5h = 9+2h

Subtracting 2h from each side

6+3h = 9

Subtracting 6 from each side

3h = 3

Divide by 3

h =1

Then finding b

9+2h = b

9+2 =b

11=b

It will take 1 hour and they will have 11 baskets

The correct is:

[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]

The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].

In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.

In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]

In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]

Answer:

Step-by-step explanation:

[tex]5(y - 3.8) = 4.7(y - 4)[/tex]

Distribute 5 through the parentheses

[tex]5y - 19 = 4.7(y - 4)[/tex]

Distribute 4.7 through the parentheses

[tex]5y - 19 = 4.7y - 18.8[/tex]

Move ' 4.7 y ' to L.H.S and change it's sign

[tex]5y - 4.7y - 19 = - 18.8[/tex]

Move constant to R.H.S and change it's sign

[tex]5y - 4.7y = - 18.8 + 19[/tex]

Collect like terms

[tex]0.3y = - 18.8 + 19[/tex]

Calculate

[tex]0.3y = 0.2[/tex]

Divide both sides of the equation by 0.3

[tex] \frac{0.3y}{0.3} = \frac{0.2}{0.3} [/tex]

Calculate

[tex]y = 0.67[/tex]

Hope this helps...

Best regards!!

Answer:

[tex]y = 0.67[/tex]   (To 2 dps)

y = 0.7 (To 1 dps)

y = 1 (To nearest whole no.)

Step-by-step explanation:

[tex]5(y-3.8) = 4.7 (y-4)[/tex]

Distribute the terms

[tex]5y - 19 = 4.7y-18.8[/tex]

Combining like terms

[tex]5y - 4.7y = -18.8+19[/tex]

Adding and subtracting

[tex]0.3y = 0.2[/tex]

Dividing both sides by 0.3

[tex]y = 0.2/0.3[/tex]

[tex]y = 0.67[/tex]