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3 years ago

What must be added to 3x-7 to make x^2+4x-1

Mathematics

2 answers:

marta [7]3 years ago

3 0

3x-7+c=x^2+4x-1
find c
minus 3x from both sides
-7+c=x^2+x-1
add 7 to both sides
c=x^2+x+6

x^2+x+6 must be added

Gemiola [76]3 years ago

3 0

The term that can be added is the difference between the two expressions you have:

x^2+4x-1-(3x-7)

x^2+4x-1-3x+7

x^2+x+6

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4x^{2}+16y^{2}-24x+64y+36=0<br> The center is:<br> The vertices are:<br> The foci are:

gulaghasi [49]

For the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

<h3>What is the equation?</h3>

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation of the hyperbola is,

4x²−y²−24x−4y+28=0

Comparing the equation with the standard equation we get,

Center (h,k)=(3,−2)

Vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2)

Foci (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

Asymptotes y=2x−8 and y=−2x+4

Thus, for the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

Learn more about the equation here,

brainly.com/question/10413253

#SPJ2

6 0

2 years ago

Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of

IceJOKER [234]

Answer:

34,000

Step-by-step explanation:

100,000-2% equals 2000 that’s the growth Population times that by 17 Years gives you total population growth

8 0

3 years ago

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matrenka [14]

Answer:

$y > \boxed{\cfrac{42}{5} }$

Step-by-step explanation:

Given inequality:

$\cfrac{y}{3} > 7 - \cfrac{y}{2}$

To solve for <em>y.</em>

Solution:

Rewrite the inequality as,

$\displaystyle \frac{1y}{3} > \frac{ - 1}{2} y + 7$

Adding 1/2y to both sides,

$\cfrac{1}{3} y + \cfrac{ 1 }{2} y > \cfrac{ - 1}{2}y + 7 + \cfrac{1}{2} y$

$\cfrac{5}{6} y > 7$

Multiplying both sides by 6/5:

$\cfrac{6}{5} \times \cfrac{5}{6} y > \cfrac{6}{5} \times 7$

$y > \boxed{\cfrac{42}{5} }$

Value of y is 42/5.

7 0

2 years ago

The supplement of a angle 30 degrees less than twice the measure of the angle itself. Find the angle and supplement

In-s [12.5K]

Answer:

The angle: $70\°$

The supplement: $110\°$

Step-by-step explanation:

By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".

Let be:

$x$ the angle (in degrees) and $2x-30$ its suppplement (in degrees).

Therefore, you can write the following equation in order to find the angle and its supplement:

$x+2x-30=180$

Now, you must solve for "x". Then:

$3x=180+30\\\\x=\frac{210}{3}\\\\x=70$

Then:

$2x-30=2(70)-30=140-30=110$

7 0

3 years ago

Read 2 more answers

Ms.James shared 5/8 of the candies she had in a bag and had 15 left.How many candies did she have before sharing?

Tatiana [17]

Answer:

Step-by-step explanation:

If you take 15, and divide it by the 3 out of the 3/8 left, you get 5. You then multiply 5 by 8 to get the full amount of candies she had before sharing, 40.

I hope this helped!

Thanks!

Your friend in answering,

~Steve

6 0

3 years ago

Read 2 more answers