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3 years ago

What is the value of X

Mathematics

1 answer:

Minchanka [31]3 years ago

5 0

Answer:

Step-by-step explanation:

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you can spend at most $20 on tomatoes and red peppers for a soup. tomatoes cost $2.50 per pound and red peppers cost $4 per poun

Ber [7]

<u>Answer-</u>

$\boxed{\boxed{2.50x+4y\leq 20}}$

<u>Solution-</u>

The total money that you have or maximum amount that you can spend = $20

Let's assume,

x = Number of tomatoes bought

y = Number of red peppers bought

Price of tomatoes per pound = $2.50

Price of red peppers per pound = $4

Hence,

Total cost of tomatoes = $2.5x

Total cost of red peppers = $4y

As you can spend at most (any amount less than or equal to) $20, so

$2.5x+4y\leq 20$

Taking a point as origin (0, 0) and then putting it in the equation,

$\Rightarrow 2.5(0)+4(0)\leq 20\\\\\Rightarrow 0\leq 20$

As this satisfies, so the shaded region will be towards that point i.e origin

From the graph, the two solutions that are on the boundary line are (8, 0), (5, 0)

6 0

2 years ago

What is the slope-intercept form of the following equation?

spin [16.1K]

Y=-.5x+3
Explanation: Move the x to the other side by subtracting it from both sides, you end up with 10y=30-5x then you divide 10 from both sides and you end up with y=-.5x+3

5 0

2 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$