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3 years ago

6

Solve the quadratic equation. 4x2 - 30 = 0

1 answer:

eduard3 years ago

3 0

False
because
<span><span>(4)</span><span>(2)</span></span>−<span><span>30<span>?=</span></span><span>0
</span></span>−<span><span>22≠</span><span>0</span></span>

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Graph the solution to the system<br> -x+y>2<br> X+2y>2

mariarad [96]

Answer:

$\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}$

Step-by-step explanation:

<u>Step 1: Solve the system of equations</u>

<u /> $\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}$ <u />

Isolate $y$ for $-x+y>2$

$\mathrm{Add\:}x\mathrm{\:to\:both\:sides}$

$-x+y+x>2+x$

$y>2+x$

Isolate $y$ for $x+2y>2$

$\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}$

$2y>2-x$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}$

$y>\frac{2-x}{2}$

$\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}$

<u>Step 2: Graph</u>

Instructions for graphing:

$\mathrm{1.\:Graph\:each\:inequality\:separately.}$

$\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}$

$3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}$

When done, it should look like this:

6 0

3 years ago

Write the equation for the quadratic function in the graph.

fenix001 [56]

Answer:

B) h(x) = -1/4(x - 6)(x + 3)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

In this question:

Concave down, so $a < 0$ , which excludes options c and d.

Roots at x = 6 and x = -3. So

$-\frac{1}{4}(x-6)(x-(-3)) = -\frac{1}{4}(x-6)(x+3)$

So option B.

7 0

3 years ago

What is 22/2 x 7/3 what the answer as a fraction

IgorC [24]

Exact Form: 77/3

Mixed Number Form: 25 2/3

3 0

3 years ago

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are:

andrezito [222]

Each side is 5 units long

3 0

3 years ago

Read 2 more answers

I need help filling the blanks.

hodyreva [135]

Answer:

Not congruent.

Step-by-step explanation:

They are not congruent because the first one has ASA and the second one is AAS.

8 0

3 years ago