All categories

3 years ago

The function with a rate of change of 3/2 whose graph passes through the point (4,10.5)

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

Answer:

y = 1.5x+4.5

Step-by-step explanation:

Let's try to fit this into slope-intercept form, which is y=mx+b, where m=slope and b=y-intercept.

Rate of change means slope, so m=3/2 = 1.5.

y = 3/2x+b

We can plug in the given point, remembering that it's in the form (x,y), so x=4, y=10.5.

y = 3/2x+b

10.5 = 3/2*4 + b

4.5 = b

Plug b back in.

y = 1.5x+4.5

You might be interested in

Divide (3x3 + 4x2 – 5x – 2) ÷ (x + 2) using long division.

Molodets [167]

      3x^2 - 2x - 1

x + 2 Γ 3x^3 + 4x^2 - 5x - 2
      3x^3 + 6x^2
      -2x^2 - 5x - 2
      -2x^2 - 4x
        -x - 2
      -x - 2
   0

Therefore, solution is 3x^2 - 2x - 1

3 0

3 years ago

338x4 estimate then find the product

aivan3 [116]

Answer:

1360 340 x 4 = 1360

Step-by-step explanation:

8 0

3 years ago

Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni

dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})$

It is provided that, Renee recognizes that 7 and $\frac{1}{7}$ are reciprocals, so she would like to find their product before she multiplies by $\frac{13}{29}$ .

The associative property of multiplication states that:

$a\times b\times c=(a\times b)\times c=a\times (b\times c)$

The commutative property of multiplication states that:

$a\times b\times c=a\times c\times b=c\times a\times b$

The distributive property of multiplication states that:

$a\cdot (b+c)=a\cdot b+a\cdot c$

The identity property of multiplication states that:

$a\times 1=a\\b\times 1=b$

So, Renee should use the commutative property of multiplication to find the product of 7 and $\frac{1}{7}$ ,

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}$

Thus, the correct option is commutative property.

5 0

3 years ago

Read 2 more answers

Which product is shown on this number line

aleksklad [387]

Answer:

Would ypu plz show us the number line so at least i could answer the question

4 0

3 years ago

4-d= -(d -4 ) -no solution infinitely many solutions -one solutions -two solutions

a_sh-v [17]

Answer: infinite solutions

Step-by-step explanation: any value of d makes the equation true. By simplifying the right side, we get -d + 4, which is the same as 4 - d, so we essentially get 4 - d = 4 - d.

4 0

3 years ago