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Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

Answer:

5°

Step-by-step explanation:

3w= w +10

3w-w=10

2w =10

w= 10/2

w= 5

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

since the Parabola squashes inwards we assume a=4

we know that,

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

Answer: hoped this helped!

Step-by-step explanation:

2) 9/10

3) 2/5

5) 4/5

6) 1/5

7) 48 8/9

Number 1 is wrong correct answer: 5/12

Answer:

24

Step-by-step explanation:

Let's do the smaller parts at the edge.

The formula for a triangle is 1/2bh

The base is 3 the height is 4

3 times 4 is 12

12 divided by 2 is 6

Since there are two of the same triangle on the edge both of the triangle's area is 6 which is 12

No for the upper triangle, the base is 6 and the height is 4

4 times 6 is 24

24 divided by 2 is 12

12 plus 12 is 24

The answer is

The area of the shaded parts of the triangle is 24 in^2

Hope this helps!

Step-by-step explanation:

16-6=10

because 16.058 rounds down

6.143 rounds down

Answer:

12p -1

Step-by-step explanation:

(7p+3)+(5p-4)

Combine like terms

7p+5p +3-4

12p -1

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

Answer:

15 is the answer

Step-by-step explanation:

20×4=80

80-65=15

Answer:

The answer is 15

Step-by-step explanation:

(20×4)-65=15

Answer: 19/8 or 2 and 3/8

Step-by-step explanation:

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]

Hence, there are 13 m in 1300 cm.

Answer:

Absolute error = 0.6m

Percentage error = 6%

Step-by-step explanation:

Given that :

Actual height = 10.4 m

Estimated height = 11 m

Tbe percentage error :

The absolute error :

|Actual value - Estimated value|

|10.4 - 11| = 0.6 m

Percentage error :

|Actual value - Estimated value| / actual value * 100%

(0.6 / 10) * 100%

0.06 * 100%

= 6%

Answer: $8.45

Step-by-step explanation:

Answer:

whats the problem

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1879}{2610} = 0.719 = 72[/tex]

Answer:

c=17

Step-by-step explanation:

(5+c)/2=11

5+c=22

c= 22-5

c=17

Step-by-step explanation:

perimeter o rectangle is 16

Answer:

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(8+4)

=2*12

=24 ft

Answer:

the answer is -2,9 lollololl

Answer:

See the attachment ⬆️⬆️

Answer:

$1346.40

Step-by-step explanation:

Find the volume of the pool first:

volume = cubiod + triangular prism

volume = (8*6*8) + (8*6*6)/2

volume = 528 cubic feet

price = price per cubic foot * cubic feet

price = $2.55 * 528 cubic feet

price = $1346.40

Step-by-step explanation:

Area of a triangle = ½(BASE X HEIGHT)

= ½(10x5)

=½(50)

=25in²

Step-by-step explanation:

Equation is

A=b*h/2

so:

5*10=50

50/2=25

25in²

Answer:

E.

Step-by-step explanation:

[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

Answer:

Hello! answer: 80

Step-by-step explanation:

8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64

4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!

Answer:

[tex]80~in^2[/tex]

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hope it helps...

have a great day!!