when x^2 - 3x +2k is divided by x+2, the remainder is 7. find the value of k.

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

Answer:

45

Step-by-step explanation:

x/3 + 8 =23

=> x/3 = 23-8

=> x/3 = 15

=> x = 15 x 3

x = 45

Answer:

x=45

Step-by-step explanation:

To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

i will solve it first i need full form

Answer:

When i tried solving it, there was no GCF except for 1.

However, the GCF of the numerator is 7

Answer:

x=14

y=24

Step-by-step explanation:

4y+42=8y-54

4y-8y=54-42

-4y/4=96/-4

y=24

solving for x

5x-28=7x-56

5x-7x=-56+28

-2x/-2=-28/-2

x=14

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb

Answer:

1st graph: slope is -1 and equation is y=-x+5

2nd graph: slope is 2/5 and equation is y=2/5x-3

Step-by-step explanation:

y=mx+b is slope-intercept form.

It's call that because this forn tells us the slope,m, and the y-intercept,b.

The first graph you have identified b as 5 since you said the y-intercept was (0,5).

Now we just find slope by finding rise/run.

(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.

The equation for first graph is y=-1x+5 or y=-x+5.

So again you have no problem identifying the y-intercept which is b=-3.

Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

Answer:

x = 6

Step-by-step explanation:

5 (x - 3) + 2 = 5 (2x - 8) - 3

remove the parenteses

5x - 15 + 2 = 10x - 40 - 3

5x - 13 = 10x - 43

5x - 10x = -43 + 13

-5x = -30

Solution

x = 6

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

Find out more on inequalities at https://brainly.com/question/2501321.

#SPJ1

Answer: [tex]\$125,971.2[/tex]

Step-by-step explanation:

Given

Principal amount [tex]P=\$100,000[/tex]

Rate of interest [tex]r=8\%[/tex]

Time period [tex]t=3\ yr[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P\left(1+r\%\right)^t\\\Rightarrow A=100,000(1+0.08)^3\\\Rightarrow A=\$125,971.2[/tex]

Thus, the amount accruing for loan is [tex]\$125,971.2[/tex]

Answer:

y = -7/4 x + 5

Step-by-step explanation:

Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

Answer:

C

Step-by-step explanation:

1,2 are both supplementary

Answer:

Scale factor is 1/2. and, Area of PST = 20cm^2

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

we get in the diagram below, RQ is parallel to ST.

ST =4cm

RP =10cm

PT = 5cm

Now, PRQ is larger than PTS

i.e. the scale factor = 5/10

                                =1/2

And, |RQ|= ST*2

               =4*2

               =8

Now, area of PRQ =80cm^2

so, area of PST = 80*1/2^2

                          =80*1/4

                          =20cm^2

Hence, Scale factor is 1/2., Area of PST = 20cm^2.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ2

Answer:

more than 12

Step-by-step explanation:

because one of the numbers is already larger than 12

Answer:

5/3*1/5= 1/3

Step-by-step explanation:

change the mixed fraction into improper fraction which is 1*3+2=5

then multiply

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

•: x=9#

Answer:

Step-by-step explanation:

[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]

Answer:

x-7x-34=10

-6x-34=10

Step-by-step explanation:

x=-22/3

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Answer: a good amount

Step-by-step explanation:

because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry

Answer:

Step-by-step explanation:

This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:

[tex]tan(2)=\frac{200}{x}[/tex] and

[tex]x=\frac{200}{tan(2)}[/tex] so

x = 5727.25 feet, the third choice down

Answer:

[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]

[tex]x=5,727.25[/tex]

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

hope it helps..

have a great day!!

Answer: D) Increase the sample size and decrease the confidence level.

Step-by-step explanation:

A reduced interval width means that the data is more accurate. This can only be achieved if the sample size is increased because a larger sample size is able to capture more of the characteristics of the variables being tested.

A smaller confidence interval will also lead to a reduced interval width because it means that the chances of the prediction being correct have increased.

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).