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3 years ago

Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

1 answer:

6 0

If the solution exists, y=y....

3x+2=-x/4+1 make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x add x to both sides

13x+8=4 subtract 8 from both sides

13x=-4 divide both sides by 13

x=-4/13

x≈-0.31 and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)

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What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x

tatyana61 [14]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================$

$\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11$

5 0

3 years ago

1 (5x-3x2-6)-(3x2-5x+7)<br><br> 2 (2m2+7m+8) -(1-2m-2m2)

swat32

Answer:

#1 -6

#2 14

Step-by-step explanation:

#1 You would put 5x and then you would subtract it by 3 then you multiply it by 3×2 and your answer will be -6

#2 You would add 2 add 7 add 8 and then you would subtract 1 and subtract 2.and your answer 14

3 0

3 years ago

Plz help me plz help me

Nutka1998 [239]

Answer:

A. W

Step-by-step explanation:

Because this is a rigid transformation, quadrilaterals WXYZ and ABCD are congruent. Corresponding parts of corresponding figures are congruent, so W is congruent to A and because we know the measure of angle A, you also know the angle measure of W.

8 0

3 years ago

A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dolla

horrorfan [7]

Answer:

The expression for the cost of soda is 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents

Step-by-step explanation:

Given as :

The quantity of hot dogs sold by vendor = h

The quantity of sodas sold by vendor = s

The total cost of hot dogs and soda = $ d

Let The price of hot dogs = $ x

And The price of soda = $ y

Now, According to question

The price of hot dogs is twice as much as soda

so, $ x = 2 × $ y

I.e x = 2 y

and $ x h + $ y s = $ d

Or , 2 × $ y h + $ y s = $ d

Or, y = $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$

∵ 1 dollar = 100 cents

So, the price of $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ = 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents

Hence The expression for the cost of soda is 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents Answer

5 0

3 years ago

How to Factor 3x^2-x-10

adoni [48]

Solution

( − 2)(3 + 5)

Step-by-step solution:

Use the sum-product pattern

3x^2−−10

3^2+5−6x−10

Common factor from the two pairs

3^2+5−6−10

(3+5)−2(3+5)

Rewrite in factored form

(3+5)−2(3+5)

(−2)(3+5

hope this was good! <3

5 0

3 years ago