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3 years ago

Which function passes through the points (2, 3) and (4, 4)?

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

Answer:

C. y=1/2x+2

Step-by-step explanation:

1. Find the slope using the slope formula.

Slope formula: y2-y1/x2-x1

Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.

Plug these values into the equation and simplify.

4-3/4-2

=1/2

Slope is 1/2

2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.

Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.

Let's use the pair (4,4).

y-4=1/2(x-4)

3. Simplify the equation to convert to y=mx+b format.

Multiply the inside of the parentheses by 1/2.

y-4=1/2x-2

Add 4 to both sides.

y=1/2x+2

3. C is your answer, for it matches what you found in the calculations.

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If (x)= 2x square minus 1,then f(-3)

viva [34]

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

4 0

3 years ago

Read 2 more answers

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amo

krok68 [10]

Answer:

The jeweler made 9 necklaces.

The jeweler made 8 bracelets.

Step-by-step explanation:

x = number of bracelets

y = number of necklaces

17 = x + y

238 = 5x + 22y

Make one of the coefficients, x, the same.

17 = x + y

Multiply this equation by 5.

85 = 5x + 5y

Subtract the equations to get rid of x.

(238 = 5x + 22y) - (85 = 5x + 5y)

(5x - 5x) + (22y - 5y) = 238 - 85

22y - 5y = 238 - 85

17y = 153

y = 153/17 = 9

The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.

17 = x + y

17 = x + 9

17 - 9 = x

x = 8

238 = 5x + 22y

238 = 5x + 22(9)

238 = 5x + 198

238 - 198 = 5x

40 = 5x

x = 40/5

x = 8

The jeweler made 8 bracelets.

8 0

3 years ago

4/5 to 3/5 as a tenth of a percent

Rudik [331]

12/25 that will be the answer so its the percent time always helps.

5 0

3 years ago

B -5 ≥ -45 answer and steps

Natalka [10]

Answer:

-50

Step-by-step explanation:

b-5 $\geq -45$

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5 b = -50

8 0

2 years ago

The table represents the start of the division of 15x3 + x2 - 3x + 2 by 3x + 2.

9966 [12]

The result of dividing $15x^{3}+x^{2}-3x+2$ by $3x+2$ is $5 x^{2} -3x+1$ with no remainder. Please check the step by step procedures in the picture attached.
We can conclude that:
The quotient of the division is $5 x^{2} -3x+1$
The remainder of the division is $0$
The divisor is $3x+2$
The dividend is $15x^{3}+x^{2}-3x+2$

4 0

4 years ago