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3 years ago

5x= -4y +4 when x= 1,2,3

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

I hope this helps you

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Usethe distributive property to express28+42

tankabanditka [31]

Answer:

To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)

4 0

3 years ago

Read 2 more answers

Use vieta's theorem to solve the problems.

Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>

Suppose we have a quadratic equation, in the following format:

$y = ax^2 + bx + c$

The roots are p and q.

The Theorem states that:

$p + q = -\frac{b}{a}$

$pq = \frac{c}{a}$

In this problem, the polynomial is:

$x^2 - 17x + c$

Hence the coefficients are $a = 1, b = -17$ .

Since the difference of the solutions is 1, we have that:

$p - q = 1$

$p = 1 + q$

Then, from the first equation of the Theorem:

$p + q = -\frac{b}{a}$

$1 + q + q = 17$

$2q = 16$

$q = 8$

$p = 1 + q = 9$

Now, from the second equation:

$pq = \frac{c}{a}$

$72 = c$

$c = 72$

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0

2 years ago

For all values of x,

Nana76 [90]

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

6 0

3 years ago

I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct

lukranit [14]

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

$\frac{MN}{NO}$ = $\frac{PQ}{QR}$