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3 years ago

Multiply (-2/3) (5/4) Quick help!

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer: $-\frac{5}{6}$

Step-by-step explanation:

When you multiply fractions, you multiply straight across and simplify.

$-\frac{2}{3}*\frac{5}{4}$ [multiply]

$-\frac{10}{12}$ [simplify]

$-\frac{5}{6}$

Now, we know that the product is $-\frac{5}{6}$ .

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What are the features of the quadratic function f(×) =×2 +10×+21?

laiz [17]

A is the correct answer

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

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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:

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

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

5 0

2 years ago

What is the slope of the line that passes through the points (-9, 8) and (−21,10)

rosijanka [135]

Answer:

-1/6

Step-by-step explanation:

(10 - 8)/(-21 + 9)= 12/-12= -1

y - 8 = -1(x + 9)

y - 8 = -x - 9

y = -x - 1

3 0

2 years ago

Read 2 more answers

Please help <br> The diagram shows a 5ft student standing near a tree

Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$ , where 'x' represent the height of the tree

cross-multiply: x = (5)(5) or 25 ft

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2 years ago

Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of package

morpeh [17]

Bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice 9x8=72

72/4 kids is 18 lunches

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2 years ago