Find an equation in standard form of the parabola passing through the points

Y= 3x+7<br> y = -2x-3<br> What would be the x and y for that solution

alexandr402 [8]

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

6 0

3 years ago

What are the solutions to the equation 3x2 + 15x = 18?

jok3333 [9.3K]

$3x {}^{2} + 15x = 18$

<h2>Divide the entire thing by 3</h2>

$x {}^{2} + 5x = 6$

$x {}^{2} + 5x - 6 = 0$

<h2>You can find the roots by using the quadratic formula or by using the form x²-Sx+P</h2>

$let \: \alpha \: and \: \beta \: be \: the \: roots$

<h2>Two numbers whose sum is -5 and product is -6</h2><h2>-6 and +1</h2>

<h2>Your answer is B</h2>

6 0

2 years ago

Plz helpp

den301095 [7]

Answer:

Addition Property of Equality If AB = CD then AB + BC = BC +CD

Subtraction Property of Equality If AB + BC = BC + CD then AB = CD

Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180

Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90

Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180

Distributive Property AB + AB = 2AB

Reflexive Property m∢B = m∢B

Symmetric Property If AB + BC = AC then AC = AB + BC

Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

Segment Addition Postulate If C is between B and D, then BC + CD = BD

Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC

Linear Pair Postulate If two angles form a linear pair, then they are supplementary

Definition of Right Angle If ∢B is a right angle then m∢B = 90

Definition of Midpoint If P is the midpoint of segment AB then AP =PB

Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB

Definition of Perpendicular Lines If two lines are ⊥ they form right angles

Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD

Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B

Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD

Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90

Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180

Step-by-step explanation:

5 0

3 years ago

Please explain and show work

Ksju [112]

Answer:

45.5

Step-by-step explanation:

Divide 26 by 4 and then you know how much jurgen can bike an hour, then multiply by 7

3 0

2 years ago

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The tables below show four sets of data:

vovangra [49]

Answer:

Hence, the set that represent a negative linear association between x and y is:

Set A.

Step-by-step explanation:

We are given 4 sets of data as:

x 1 2 3 4 5 6 7 8 9

y 10 9 8 7 6 5 4 3 2

x 1 2 3 4 5 6 7 8 9

y 3 4 5 6 7 8 9 10 11

x 1 2 3 4 5 6 7 8 9

y 8 6 5 4 3.5 3 2.5 2 2

x 1 2 3 4 5 6 7 8 9

y 1 2.5 2.5 3 4 5 6 8 9

We are asked to determine the set which represent negative linear association between x and y?

Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
In set C the relationship is non-linear though it is negative.
Clearly in Set A we could see that the the y is related to x as:

y=11-x or y= -x+11.

Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.

Hence, the set that represent a negative linear association between x and y is:

Set A.

3 0

3 years ago

Read 2 more answers