All categories

3 years ago

Solve each quadratic equation. Show your work 15. x2 + 3x = 10

Mathematics

2 answers:

Margarita [4]3 years ago

5 0

X^2+3x-10=0
(x+5)(x-2)=0
x=-5 or x=2
Hope this helps.

OLEGan [10]3 years ago

4 0

X² + 3x = 10

Convert to standard form.
x² + 3x - 10 = 0

factor x² = x * x
factor -10 = 5 * -2

(x + 5) (x - 2) = 0
x(x -2) + 5(x-2) = 0
x² - 2x + 5x - 10 = 0
x² + 3x - 10 = 0

x + 5 = 0   x² + 3x = 10
x = -5 -5² + 3(-5) = 10
25 - 15 = 10
10 = 10

x - 2 = 0 x² + 3x = 10
x = 2 2² + 3(2) = 10
   4 + 6 = 10
   10 = 10

You might be interested in

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5

motikmotik

Answer:

$h(-6) = -\frac{1}{5}$

Step-by-step explanation:

Given

$h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x$

Required

Determine h(-6)

To do this, we make use of:

$h(x) = \frac{x + 4}{10}$

Because $-7 \le -6$

So, we have:

$h(x) = \frac{x + 4}{10}$

$h(-6) = \frac{-6 + 4}{10}$

$h(-6) = \frac{-2}{10}$

Simplify

$h(-6) = -\frac{1}{5}$

4 0

2 years ago

What is the equation of the asymptote of the graph of y=2(6^x) ?

Arlecino [84]

The value of can never be 0

y = 0

A

6 0

3 years ago

What are the values of x and y?

Ede4ka [16]

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

(angle sum property of triangle)

⇒x+(180

−∠RTQ)+60

=180

(linear pair)

⇒x+(180

−97

)+60

=180

⇒x=31

Now, ∠PRT+∠TRQ+∠QRS=180

(angle of straight line)

⇒x+48

+y=180

⇒31

+48

+y=180

⇒y=101

3 0

2 years ago

Amira and Mandisa sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per ani

MAXImum [283]

Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the number of balloons for x animals.

Amira uses 4 balloons for each animal.

For Mandisa, using the table using (20, 225) and (60, 25):

$slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{25-225}{60-20}=-5$

Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

Find out more on linear equation at: brainly.com/question/14323743

6 0

1 year ago

Plz helllppp.. Ill mark as brainliest to who hepls. :3 ThankU m8

julia-pushkina [17]

First do ,60 divided by 7 =_____. Then do The product of that equation divided by 8. Then ur answer to that equation is a factor for the last equation u have to do witch is The product of ______ divided by 8, Then multiple that product by 3 like this (3❌_______=_______) then u have ur answer. Hope u understand more now that I've helped

5 0

2 years ago

Read 2 more answers