three decreased by the product of a number and two

Answer:

y =2/3x -2

Step-by-step explanation:

The y intercept is -2

The slope is

m = (y2-y1)/ (x2-x1)

Using the points (0,-2) and  (3,0)

m = ( 0 - -2)/(3 -0)

    = (0+2)/(3-0)

   = 2/3

The slope intercept form is

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

y =2/3x -2

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

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

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

Answer:

look at the png below

Step-by-step explanation:

Answer:

See attachment for graph

Step-by-step explanation:

See comment for correct question

Given

[tex]y = \log_bx[/tex]

Required

The corresponding points on [tex]y =b^x[/tex]

On the graph, we have:

[tex](x_1,y_1) \to (1,0)[/tex]

[tex](x_2,y_2) \to (2,1)[/tex]

[tex](x_3,y_3) \to (4,2)[/tex]

[tex](x_4,y_4) \to (8,3)[/tex]

[tex](x_5,y_5) \to (16,4)[/tex]

First, we solve for b in [tex]y = \log_bx[/tex]

Using laws of logarithm, the equivalent of the above is:

[tex]x = b^y[/tex]

[tex](x_2,y_2) \to (2,1)[/tex] implies that:

[tex]2 = b^1[/tex]

[tex]2 = b[/tex]

Rewrite as:

[tex]b =2[/tex]

So, the equation [tex]y =b^x[/tex] becomes:

[tex]y = 2^x[/tex]

Using the same values of x, we have:

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

[tex](x_3,y_3) = (4,16)[/tex]

[tex](x_4,y_4) = (8,256)[/tex]

[tex](x_5,y_5) = (16,65536)[/tex]

See attachment for graph

The points (1,2), (2,4), and (4,16) are plotted on the graph attached below and this can be determined by using the given data.

Given :

Logarithmic Function  --  [tex]\rm y = log_b(x)[/tex]    --- (1)

The following steps can be used in order to determine the corresponding points that must be on the graph [tex]\rm x = b^y[/tex]:

Step 1 - Now, substitute the value of x and y that is (2,1) in the expression [tex]\rm x = b^y[/tex].

[tex]\rm 2 = b^1[/tex]

b = 2

Step 2 - Now, substitute the value of b in the equation [tex]\rm y=b^x[/tex].

[tex]\rm y = 2^x[/tex]    --- (2)

Step 3 - At (x = 1) the above expression becomes:

y = 2

Step 4 - At (x = 2) the expression (2) becomes:

y = 4

Step 5 - At (x = 4) the expression (2) becomes:

y = 16

The graph of [tex]\rm y = 2^x[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

Answer:

[tex]18n - 24[/tex]

Step-by-step explanation:

[tex]6(3n - 4) = 18n - 24[/tex]

Answer:

18n-24

Step-by-step explanation:

6(3n-4)

Open the brackets .......

(6×3n)-(6×4)

=18n_24

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Answer:

[tex]x + 2x + 34 + 20 = 180 [/tex]

Answer:

x=42

Step-by-step explanation:

Statement Reason

1. m∠AOB = 180° —  Def. of straight ∠

2. m∠AOE + m∠EOF + m∠FOB = m∠

AOB      —-    Parts − whole Postulate

3. x + 2x+34° + 20° = 180°  —-   Substitution

4. x = 42°.  —- Algebra

This is statement and reason! (no problem rsm people)

Answer:

The answer is "A point on the parabola  and Focus".

Step-by-step explanation:

[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]

Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.

The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.

Answer:

The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.

Step-by-step explanation:

Hope this helps! :)

Answer: I divided 16.75 by 5

Step-by-step explanation:

For every 1 gallon hes using 3.35

So 22 x 3.35 is 73.70 so hell need 70 cent more

Answer:

hope this helppppp youuu

Answer:

-1

Step-by-step explanation:

Increasing the x-value by one results in the y-value decreasing by 1. Therefore, the average rate of change is -1.

Answer: -1

Step-by-step explanation: ;)

Answer:

d

Step-by-step explanation:

a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945

b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945

c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945

d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945

Answer:

D

Step-by-step explanation:

32/945 is the final answer

Answer:

Solution given:

in 1990

cost of orange[C.P]=$0.56

in 2003

cost of orange[S.P]=$0.86

now

increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3

Now

increased percent [profit%]=?

we have

profit%=profit/c.p*100%

=0.3/0.56*100=53.57℅

Therefore

the oranges appreciated by 53.57%

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

we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.

so,

[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]

we know that,

[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]

According to the question,

Answer:

17.5 units

Step-by-step explanation:

im not good at explaining sorry

Answer: [tex]56\ kmph,\quad 50\ kmph[/tex]

Step-by-step explanation:

Given

Two cars are 600 km apart moving towards each other

Difference in their speed is 6 kmph

After 4.5 hr, they are 123 km apart that is, they covered a distance of [tex]600-123=477\ km[/tex] in 4.5 hours

Suppose their speeds is [tex]v_1\ \text{and}\ v_2[/tex]

[tex]\therefore v_1-v_2=6\quad \ldots(i)[/tex]

Also, distance traveled is given by

[tex]\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)[/tex]

Solve, (i) and (ii) , we get [tex]v_1=56\ kmph\ \text{and}\ v_2=50\ kmph[/tex]

Answer:

  r = K * q / V

Step-by-step explanation:

V =  K * q / r

Convenience sampling.

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

Put the data set in order:

12, 14, 24, 31, 41, 46, 49

In order to find a value of x using the range, x has to be on either end of the data set. Meaning:

x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

Since the range is the highest value minus the lower value, you can set two equations for x:

x - 12 = 63

x = 75

49 - x = 63

x = -14

Thus, x = 75, -14

Two values of x are -14 & 75

The difference between highest and lowest numbers of the set of numbers is called the range of numbers.

The given values are 12, 46, 31, 49, 24, 41, 14

Arranging all the values in ascending order we get,

12, 14, 24, 31, 41, 46, 49

If x will be included, then x is in the 1st position or in the last position.

Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

The range of the number is 63

So, we get two equations from it.

1 ) 49-x = 63

2 ) x-12 = 63

Solving eq. (1) we get, x = 49-63 = -14

Solving eq. (2) we get, x = 63+12 = 75

So the values of x are -14 & 75

Learn more about range of number here :

https://brainly.com/question/10081172

#SPJ2

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

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

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

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

Step-by-step explanation:

-5x - 4y= -117x + 3y = 18

-5x +117x = 3y + 4y = 18

112x = 7y = 18

Given:

Dividing a number by 2 always results in a smaller number.

To find:

The counterexample to the given claim.

Solution:

If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then

[tex]\dfrac{0}{a}=0[/tex]

Let us consider the unknown number be 0. Then dividing a number by 2, we get

[tex]\dfrac{0}{2}=0[/tex]

Here, the result is not a smaller number because [tex]0=0[/tex].

Therefore, the counterexample to the given claim is "Dividing 0 by 2".

Answer:

-1

Step-by-step explanation:

Answer:

8^1/3

Step-by-step explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

Answer:

Step-by-step explanation:

Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]

[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22