6. Which expression is equivalent to the
algebraic expression below?
3(2x - 1)
A. + 2
B. X-1
C. -6x .- 3
D. -6x - 1
Course 3/4 Benchmark Test - End of Year​

Answer:

1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)

2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.

Step-by-step explanation:

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

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

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

Answer:

(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

=> the total cost = the total number of people * the ticket cost each

= 7 X 8

Hence, he can use this way to break apart the array to find the product:

(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8

Hope it will find you well.

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

[tex]x=-2\\y=2(-2)+5\\y=-4+5\\y=1[/tex]

------

[tex]x=-1\\y=2(-1)+5\\y=-2+5\\y=3[/tex]

------

[tex]x=0\\y=2(0)+5\\y=0+5\\y=5[/tex]

------

[tex]x=1\\y=2(1)+5\\y=2+5\\y=7[/tex]

------

[tex]x=2\\y=2(2)+5\\y=4+5\\y=9[/tex]

:Done

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

Answer:

i cant answer that i'm only in 8th

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

Answer:

w·v = -87

Step-by-step explanation:

The projection of a vector on another vector is given by the dot product between the vectors.

Thus, you calculate the dot product between w and v:

[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]

So, the projection of w on v is -87

Answer:

( w-7) (w+5)

Step-by-step explanation:

w^2 -2w - 35

What 2 numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

( w-7) (w+5)

Answer:

(w + 5) • (w - 7)  = A

Step-by-step explanation:

factoring  w2-2w-35  

The first term is,  w2  its coefficient is  1 .

The middle term is,  -2w  its coefficient is  -2 .

The last term, "the constant", is  -35  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -35 = -35  

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is   -2 .

     -35    +    1    =    -34  

     -7    +    5    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  5  

                    w2 - 7w + 5w - 35

Step-4 : Add up the first 2 terms, pulling out like factors :

                   w • (w-7)

             Add up the last 2 terms, pulling out common factors :

                   5 • (w-7)

Step-5 : Add up the four terms of step 4 :

                   (w+5)  •  (w-7)

          (w + 5) • (w - 7)  = 0

Answer:

8N-2=33+N

Step-by-step explanation:

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

Answer:

square root of 30 is 30

because it comes in a point =5.477225575

Answer:

69.8%

Step-by-step explanation:

The weekly interest rate is computed using 52 weeks a year as per standard investment practice.

FV=PV*(1+r/52)^n*52

FV is the future value of $2000

PV is the present worth of $1,000

r is the unknown

n is the number of years which is 1

2000=1000*(1+r/52)^1*52

divide both sides by 1000

2000/1000=(1+r/52)^52

divide the index of the both sides by 52

(2000/1000)^(1/52)=1+r/52

1.013418991 =1+r/52

r/52=1.013418991 -1

r/52=0.013418991

r=0.013418991 *52=69.8%

Answer:

4%

Step-by-step explanation:

not really sure if thats right but i hopes it helps

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

Answer:

The least number of package of cap required is 15, while that of shirt is 9

Step-by-step explanation:

Total number of members = 45

The cap comes in package of 3

The shirt comes in package of 5

The least number of the package of caps they need to order is =?

Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.

Number of package of caps = 45 / 3

Number of package of caps = 15

We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3

Number of package for shirt = 45 / 5

Number of package for shirt = 9

Therefore, the least number of package of caps required is 15 while that of shirt is 9

Answer:

6

Step-by-step explanation:

Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt(A /pi ) = sqrt(r^2)

sqrt(A /pi ) = r

Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Ella tiene que bajar los 6 pisos, mas 2.

6+2=8

Let's manipulate the expression a little bit and see what we come up with: we have

[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]

We can simplify the fraction as

[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]

Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as

[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]

So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).

In other words, we arrived to the desired conclusion:

[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]

Answer:

combination

Step-by-step explanation:

permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.

I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge

The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.

We consider the group of 5 students can be selected to ride in a car instead of a van.

Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.

Therefore, the ways can be formulated as:

[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]

Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

To know more about the combinations, please refer to the link:

https://brainly.com/question/10699405

Answer:  A

D: Divide each length of the scale drawing by the scale factor to find the lengths of the walls.

Answer:

Step-by-step explanation:

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Answer:

46 feet high!

Step-by-step explanation:

Answer:

100/3 % = 33 1/3 % = 33.33%

Step-by-step explanation:

To find what percent a part is from the whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

percent = 20/60 * 100%

percent = 1/3 * 100%

percent = 100/3 % = 33 1/3 % = 33.33%

Answer:

Step-by-step explanation:

20/60 = one third or 0.333

Convert to percent by moving the decimal point two times to the right.

33.3%

Answer:

D.) 0.7+0.4−0.2=0.9

Answer:

y = 2x +13

Step-by-step explanation:

when 2 lines are perpendicular, the product of the two gradients is -1

i.e. m x m1 = -1

so from 10y + 5x = 3, the gradient m is -0.5

m1 = -1 / -0.5 = 2

using m1 = 2 and pt(-7,-1),

the eqn is y = (m1)x +c

-1 = 2(-7) + c

c= 13

thus y = 2x +13

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

There are 20 rosebushes, Juanita painted 3/4 of them.

So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.

Work:

20 x 3/4 = 15

3/4 = .75

.75 x 20 = 15

20 - 15 = 5

Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.