y=-1/4x+3

y=-3/2x-2

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Given system of equations is,

f(x) = x² - 5x + 7

g(x) = 2x + 1

By equating both the functions,

f(x) = g(x)

x²- 5x + 7 = 2x + 1

x² - 5x - 2x + 7 - 1 = 0

x² - 7x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) - 1(x - 6) = 0

(x - 1)(x - 6) = 0

x = 1, 6

For x = 1,

g(x) = 2x + 1

g(1) = 2(1) + 1

     = 3

For x = 6,

g(6) = 2(6) + 1

      = 13

Common points (solutions) of both the functions 'f' and 'g' are (1, 3) and (6, 13).  

Both the solutions lie in quadrant 1.

x-coordinate of the solution (1, 3) is x = 1.

y-coordinate of the solution (1, 3) is y = 3.

Therefore, options (2), (4) and (6) are the correct options.

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

750?

Step-by-step explanation:

there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750

Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

Answer:

700

Step-by-step explanation:

Let the number be x.

Then,

\(70=\frac{x}{10} \\ \\ x=700\)

Answer:

yes agreed

Step-by-step explanation:

a+a=2a

b+b=2b

=2a+2b

54/32 converted to a mixed number is 1 22/32.

What is mixed number?

A mixed number is a whole number combined with a fraction. It is a way of expressing a quantity that is greater than one whole. For example, 2 1/2 is a mixed number that represents two and a half. Mixed numbers are often used when counting items or measuring amounts of something. They can also be used in mathematical equations, such as when adding, subtracting, multiplying, or dividing fractions. Mixed numbers are a useful tool for expressing various quantities and performing various calculations.

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Answer:

Buying a home allows you to build wealth over time.

Step-by-step explanation:

no other asset can build your wealth more consistently. When you rent, you are building your landlord's wealth, and not your own. Combined with leverage, real estate appreciation can offer big returns

Answer:

Step-by-step explanation:

187.5

Answer:

F(2) = 3

Step-by-step explanation:

Given the function, F(x) = 5 - x:

Substitute 2 as a value of x in the given function:

F(2) = 5 - 2 =  3.

Therefore, F(2) = 3.

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:180

Answer:

(x+2)²+(y-4)²=36

Step-by-step explanation:

1) to determine the coordinates of the centre of the given circle. It is point A (-2;4);

2) to determine the length of the radius: to calculate the distance between the point A(-2;4) and any point on the circle, it is 6 [units];

3) to make up the required equation according to the scheme:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - the coordinates of the centre, r - the length of the radius.

4) finally, (x+2)²+(y-4)²=6².

PS. for more details see the attachment.

The equation of line in slope intercept form described from given table will be equal to y = -2x + 1

What is the slope intercept form of a line ?

The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).

The equation of line in slope intercept form

y = mx + c

Where m is the slope, and c is the y-intercept.

We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :

m = ( \(y_{2} - y_{1}\) ) /( \(x_{2} - x_{1}\) )

m = ( 3 - 5 ) / ( -1 + 2)

m = -2

Using this value to find out the equation of line we get :

y = -2x + c

Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;

5 = -2 × -2 + c

c = 5 - 4

c = 1

So , in slope intercept form the equation of line will be ;

y = -2x + 1

Therefore , the equation of line in slope intercept form will be y = -2x + 1.

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The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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Answer:

The answer is A because A has 9 zeroes behind 3.5

Answer:

$3.71

Step-by-step explanation:

Answer:

The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.

(Please don't get mad or report this answer, the work is below, so you may see for yourself.)

Step-by-step explanation:

Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:

-6x + 9 = -3x + 3

Next we will solve for x by isolating it:

So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.

Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:

y = -3(2) + 3

-3 × 2 = -6 and -6 + 3 = -3

So: y = -3

Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).

As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)

Answer:

x=2, y=-3. (2, -3).

Step-by-step explanation:

y=-6x+9

y=-3x+3

-----------

-6x+9=-3x+3

-6x-(-3x)+9=3

-6x+3x=3-9

-3x=-6

3x=6

x=6/3

x=2

y=-6(2)+9

y=-12+9=-3

Answer:

The difference in temperature is 105 degrees.

Step-by-step explanation:

The difference in temperature is 105 degrees because it's -20 in Alaska and 85 in Hawaii. When calculating the difference in temperature, negative numbers are still added to the sum total. so 85 + 20 = 105.

The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

From the question, we have the following parameters that can be used in our computation:

y= 4x^(3/2)+x^(1/2)

Using the first principle of differentiation, we have

dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)

Evaluate the expressions

dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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Answer:

  a.  2/5; reduction

Step-by-step explanation:

It appears that C is the center of dilation, so C' and C are coincident. The scale factor is ...

  P'C'/PC = 4/10 = 2/5 . . . scale factor

The scale factor is less than 1, so the dilation is a reduction in size.

Answer:85

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 6x + 9

D = 6^2 - 9 * 4 = 36 - 36 = 0

x1= \(-\frac{6}{2}\)=-3

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48