Please help me with this question I am having trouble

Answer:

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].

Step-by-step explanation:

Let [tex]p(x) = 2\cdot x^{2}-(m+3)\cdot x - 1[/tex], if [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]p(2) = 0[/tex]. That is:

[tex]2\cdot 2^{2}-(m+3)\cdot (2)-1 = 0[/tex]

[tex]8 - 2\cdot m -6 -1 = 0[/tex]

[tex]1 -2\cdot m = 0[/tex]

[tex]2\cdot m = 1[/tex]

[tex]m = \frac{1}{2}[/tex]

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].

Answer:

2

Step-by-step explanation:

The scale factor is 2 because every aspect of figure a doubled.

Answer:

Step-by-step explanation:

Figure B is 2 times the size of figure A

You can tell by counting the squares at the lines

Answer:

12 ways?

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is 12.

This is because there are 4 toppings, and we have to make a 3-way topping pizza.

#teamtrees #PAW (Plant And Water)

Answer:

(h+3+n)3=D dillion has d amout of winter acsessors

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D because it is the only choice that obtains things that do not intersect or cross each other at some point. The doors would never cross, unlike the windows or roadways or railways.

So option D would be the best answer.

Answer:

A. [tex] \huge \purple { {(2 + 6)}^{ \frac{1}{2} } }[/tex]

Step-by-step explanation:

[tex] \huge \sqrt{2 + 6} \\ \\ \huge \red{= {(2 + 6)}^{ \frac{1}{2} } }[/tex]

Answer:

27

Step-by-step explanation:

3^2*(2^3+4)

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

2^2

Parentheses first

(2^3+4) = (8+4) = 12

Replace the parentheses

3^2*(12)

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

2^2

Then Exponents

9*(12)

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

4

Multiply

108

-----

4

Divide

27

Answer:

x=8

Step-by-step explanation:

both sides are even and parallel.

Answer:

10ft

Step-by-step explanation:

volume= 502ft³

or, πr²h = 502 ft³

or, h= 502/ (4²π)

or, h= 9.98~10ft

Answer:

If you meant describe the effects of translating Δ ABC to Δ A'B'C'.

D. Each x - coordinate decreased by 6 and each y - coordinate increased by

Use the coordinate A as an example it moves to the right 6 times(x increasing) and down 3 times (y decreasing)

Answer: B. 40.84 inches³

Step-by-step explanation:

A can takes the shape of a cylinder. Therefore, the volume of the can will be:

= πr²h

where

π = 3.14

r = diameter/2 = 3.4/2 = 1.7

h = 4.5

Therefore, volume = πr²h

= 3.14 × 1.7² × 4.5

= 3.14 × 2.89 × 4.5

= 40.8357

= 40.84 inches³

Answer:

D) u=4 , v=2

Step-by-step explanation:

This is as 60 30 90 triangle.

One leg is x

Second is x sqrt 3

The hypotenuse is x(2)

So hope that helps

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

Answer:

pi

a pie is equal to 22/7

do it is not a rational no

Answer:

aired water

Step-by-step explanation:

dunno sjdnsnwndnejeej hi

hello

Answer:

(-2,3)

Step-by-step explanation:

Answer:

answer is I'm guessing B.

Step-by-step explanation:

[tex]80 \div 100 \times 30 = \\ = 0.8 \times 30 = \\ = 24[/tex]

Answer:

1.52500 times 10 minus 5 m4

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

Answer:

volume of rectangular prism is lxwxh volume of triangular prism is bxh÷2

Answer:

1.

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

R=6

G=20

T=12

Step-by-step explanation:

1.

The problem is talking about three types of products and it wants us to find how many of each the factory prepares. Since this is the data we need to know, then we set them to be our variables:

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Next, we can use the provided information to build our equations. First, we start with the Sterilizing machine equation: 9 minutes for orange juice, 10 minutes for grape juice and 12 minutes for tomato juice. So we use the sterilizing values for each of the product, to build our first equation:

9R+10G+12T=398

next, we build the filling machine equation, so like on the previous equation, we use the provided data for filling to build the second equation:

6R+4G+4T=164

and finally we build the labeling machine equation so we get:

R+2G+T=58

so we need to solve the following system of equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

The very first thing we need to do in order to solve this problem by using the Gauss-Jordan elimination method is to build our matrix based on the system of equations we got on the previous part.

[tex]\left[\begin{array}{cccc}9&10&12&398\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

The idea is to end up with an identity matrix on the first three columns, that will directly give us the answer to the system of equations. So we can start by dividing the first row into 9: [tex]\frac{R_{1}}{9}[/tex] So we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

Next, we can multiply the first row by -6 and add it to the second row to get the new second row. [tex]-6R_{1}+R_{2}[/tex]

so we get:

-6   -20/3   -8   -796/3

6     4          4      164

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

0    -8/3    -4    -304/3

our matrix now looks like this:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\1&2&1&58\\\end{array}\right][/tex]

Next, we can subtract R3 from R1 so we get:

1   10/9   4/3   398/9

-1   -2     -1       -58

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

0    -8/9   1/3   -124/9

So the matrix looks like this now:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can multiply the second row by -3/8 so we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can subtract: [tex]R_{1}-\frac{10}{9}R_{2}[/tex] so we get:

0   -10/9   -5/3  -380/9

1      10/9    4/3   398/9

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

1        0       -1/3   2

So the matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Next, we do the following operation: [tex]R_{3}+\frac{8}{9}R_{2}[/tex]

0      8/9      4/3 304/9

0      -8/9     1/3   -124/9

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

0       0         5/3   20

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&\frac{5}{3}&20\\\end{array}\right][/tex]

We next multiply R3 by 3/5 so we get:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do: [tex]\frac{R_{3}}{3}+R_{1}[/tex]

0         0      1/3       4

1           0     -1/3      2

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

1       0          0        6

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do the following: [tex]R_{2}-\frac{3}{2}R_{3}[/tex]

so we get:

0         0      -3/2     -18

0         1       3/2      38

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

0        1          0        20

for our final matrix to be:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&0&20\\0&0&1&12\\\end{array}\right][/tex]

so now we can retrieve the corresponding answers:

R=6

G=20

T=12

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

Answer:energy is such thing which cannot be created nor be destroyed but can be change from one form to another.

51+(19+46)=51+65=116 is your answer

Answer:

area of square when given only diagonal is 1/2d×square so

1/2×3√2×3√2

=9 cm square

Step-by-step explanation:

Answer:

It will be worth about £885.59.

Step-by-step explanation:

The art piece originally costs £600.

And it appreciates at a rate of 3.97% each year.

And we want to find the value of the art after 10 years.

We can write an exponential function to model the situation. The standard exponential function is given by:

[tex]f(t)=a(r)^t[/tex]

Where t is the time in years.

Since it appreciates at a rate of 3.97% each year, the value after each year will be (100% + 3.97%) or 103.97%.

103.97% = 1.0397. So, r = 1.0397:

[tex]f(t)=a(1.0397)^t[/tex]

Our a is the initial value. Therefore:

[tex]f(t)=600(1.0397)^t[/tex]

Then the value of the piece of art after 10 years is:

[tex]f(t)=600(1.0397)^{10}=885.5879...\approx \pounds 885.59[/tex]

It will be worth about £885.59 after 10 years.

Answer:

885.59

Step-by-step explanation:

1. 600 + 23.82

2. 623.82 + 24.77

3. 648.59 +25.75

4. 674.34 + 26.77

5. 701.11 + 27.83

6. 728.94 + 28.94

7. 757.88 + 30.09

8. 787.97 + 31.28

9. 819.25 + 32.52

10. 851.77 + 33.82

After 10 years the art valued for 885.59 British Pounds.

Answer:

every 5 minutes ....

Step-by-step explanation:

Answer:

log 8

Step-by-step explanation:

Answer: $18.19

Step-by-step explanation:

Given

The original Price of the meal is [tex]\$20[/tex]

After a 15% discount, the price reduced to

[tex]\Rightarrow \text{Reduced Price}=20\times -20\times 0.15\\\Rightarrow \text{Reduced Price}=20[1-0.15]=20\times 0.85\\\Rightarrow \text{Reduced Price}=\$17[/tex]

After this, a sales tax is applied

So, there would be an increase in price

[tex]\Rightarrow \text{New Price}=17+17\times 0.07\\\Rightarrow \text{New Price}=17[1+0.07]=17\times 1.07\\\Rightarrow \text{New Price}=\$18.19[/tex]

So, the father pays an amount of [tex]\$18.19[/tex]