given that x+1 is a factor of 3x³-14x²-7x+d, show that d= 10

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

Answer:b

Step-by-step explanation:

the answer is 235 cubic meters

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3

48 ft

A  = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

Answer:

720+810=1530

Step-by-step explanation:

Answer:

VM = 15

Step-by-step explanation:

Given that line segment VM = 4x - 1

line segment MW = 3x + 3,

since M is the midpoint of VW, therefore:

VM = MW

Thus,

[tex] 4x - 1 = 3x + 3 [/tex]

Find the value of x

[tex] 4x - 3x = 1 + 3 [/tex]

[tex] x = 4 [/tex]

VM = 4x - 1

Plug in the value of x

[tex] VM = 4(4) - 1 = 16 - 1 = 15 [/tex]

VM = 15

Answer:

Step-by-step explanation:

i would believe that it would  so there is your answer

Answer:

1. x+(5+7)

2.x+ (8-2)

3. (x+8)

4. x-8

5. 8-x

6. 5-n

7.x+x

8. x+ (8-2)

9. n+5

10. n-5

Step-by-step explanation:

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

We can solve for x by isolating it on one side of the equation.

If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.

First let's combine like terms on the left side.

[tex]2x + 5 = x-3[/tex]

Now subtract x from both sides:

[tex]x + 5 = -3[/tex]

Subtract 5 from both sides:

[tex]x = -8[/tex]

Hope this helped!

Answer:

-8

Step-by-step explanation:

Simplify to 2x + 5 = X - 3

Subtract and you end up with x = -3 - 5

Answer:

x = 5.25

Step-by-step explanation:

subtract 7/10 from both sides of the equation

-8/9x +7/10 - 7/10 = -119/30-7/10

-8/9x = -119-21/30

-8/9x = -140/30

the negative signs cancels out and the right hand side reduced to the lowest tern

8/9x = 14/3

multiply both sides by the reciprocal of 8/9 which is 9/8

9/8 * 8/9x = 14/3 * 9/8

x = 21/4

x = 5.25

Reason 1:  Given

We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.

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

Reason 2: Addition Property of Equality

We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.

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

Reason 3: Substitution

The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.

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

Reason 4: Angle Addition Postulate

This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.

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

Reason 5: Substitution

Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

[tex]-3n + 12 + 5n = 2n[/tex]

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

[tex]2n + 12 = 2n[/tex]

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

[tex]12 = 0[/tex]

This makes the statement false for any value of n. Meaning that your answer is B, no solution.

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

Answer:

Option a is right

Step-by-step explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line of reflection,

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

Answer:

Its A

Step-by-step explanation:

BECAUSE IM RIGHT

Answer:

a. 5/12

b. 7/18

Step-by-step explanation:

In this question, we are interested in computing the probabilities.

Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.

This can be found in the attachment.

What is important to know however is that the total number of possible results is 36;

so let’s compute;

a. For a, let’s circle all sums which are greater than 7 ;

We can see a total of 16 circled sums;

So the probability is 15/36 = 5/12

b. Sum divisible by 4 or 6 or both

Let’s make a circle again ;

So we have a total of 14

So the probability will be 14/36 = 7/18

Answer:

15a⁴b²-20a³b³+30a²b⁴

Step-by-step explanation:

3a²-4ab+6b²

so for 5a²b²

(5a²b²)(3a²-4ab+6b²)

=15a⁴b²-20a³b³+30a²b⁴

By applying the distributive property, 5a²b² × (3a²- 4ab + 6b²)​ = 15a⁴b² - 20a³b³ + 30a²b⁴

Given the expression: 5a²b² × (3a²- 4ab + 6b²)​

We would apply the distributive property by multiplying every term inside the parentheses by 5a²b².

This can be done as shown below:

5a²b² × (3a²- 4ab + 6b²)​ = 5a²b²(3a²) - 5a²b²(4ab) + 5a²b²(6b²)​

5a²b² × (3a²- 4ab + 6b²)​ = 15a⁴b² - 20a³b³ + 30a²b⁴

Learn more here:

https://brainly.com/question/13106766

Answer:

0.72

Step-by-step explanation:

5/6 - 1/9 =

(5×9)-(1×6) over (6×9)

= 39/54

=39÷3 over 54÷3

=13/18

Decimal result: 0.72

I asked Google so if this is wrong or unhelpful I'm so sorry.

Answer:

Postulate 5, The Parallel postulate: If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.

The parallel postulate is needed to derive the elements, but it seems too complex.

Answer:

47% is the statistic and 31% is the parameter.

Step-by-step explanation:

A parameter is a quantity of a variable representing certain characteristic of a population.

A statistic is a quantity of a variable representing certain characteristic of a sample.

The sample of parents of kindergartners selected is, n = 345.

The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.

That is the population proportion is, p = 0.31.

This is the parameter value.

Of the 349 parents, 47% said they sent their children to pre-kindergarten.

That is the sample proportion is, [tex]\hat p[/tex] = 0.47.

This is the statistic value.

Thus, the correct option is:

47% is the statistic and 31% is the parameter.

Answer:

w = 3 ft

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

30 = 10 *w

Divide each side by 10

30/10 = 10w/10

3 = w

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

Work Shown:

Law of Cosines

c^2 = a^2 + b^2 - 2ab*cos(C)

22^2 = 20^2 + 18^2 - 2*20*18*cos(X)

484 = 724 - 720*cos(X)

484 + 720*cos(X) = 724

720*cos(X) = 724 - 484

720*cos(X) = 240

cos(X) = 240/720

cos(X) = 1/3

X = arccos(1/3)

X = 70.528779

X = 70.5

Make sure your calculator is in degree mode.

Average Speed=Total Distance / Total Time

Converting meter into km

300/1000=0.3km

Average Speed=(0.3+0.3)/12

Average Speed=0.6/12

=0.05km/min

I hope this helps you.

Plz mark me as the Brainliest.

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]

Sum = 77

∴by the problem ,

[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]

{Taking 3 common }

[tex]x^{2} +2x- 24 = 0\\[/tex]

{By factorization}

[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

Therfore,

[tex]x= -6,4\\[/tex]

X can't be negetive

∴ [tex]x =4\\x+1=5\\x+2=6[/tex]

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

Step-by-step explanation:

5/12, 2/9, 1/6, 1/2 thats the answer

Answer:

2/9=0.22

1÷3=0.33

5÷12=0.41

1÷6=0.16

Step-by-step explanation:

5/12

1/3

2/9

1/6

Step-by-step explanation:

1. 3( x - 5 ) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

2. 4a - 3 ( 4 - a )

= 4a - 12 + a

= 5a - 12

3. -2 ( b - 6 ) + 2

= -2b + 12 + 2

= -2b + 14

= 14 - 2b

4. 6 - 3 ( 3 + x )

= 6 - 9 - 3x

= -3 - 3x

Answer:

  A) L, N, O, P

Step-by-step explanation:

The even numbers on the number line are marked by the letters L, N, O, P.

_____

If a number gives an integer result when divided by 2, it is an even number. Zero is an even number, giving the integer zero when divided by 2.

Step-by-step explanation:

Hey, there!!

Let's look in your question,

Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.

At that time 1 US dollar= 7000 Cedi.

He paid 35000 cedi.

Us dollar for 35000 cedi = 35000/7000 $.

So, he had bought it in $5.

now,

At present,

The value of 1$ is 5.79 cedi.

As he bought it on same value,

5$ is equal to 5.79×5

= 28.95 cedi.

{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.

Hope it helps...