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2 years ago

11

The system of equations y = three-fourths x minus 4 and y = –x + 3 is shown on the graph below.

2 answers:

Virty [35]2 years ago

6 0

Step-by-step explanation:

The answer to this question is where both of the lines intersect. For this problem, the answer is (4, -1)

<em>Look at the attachment for clarification:</em>

Sedaia [141]2 years ago

3 0

Answer:

(4, -1)

Step-by-step explanation:

The point of intersection of two lines is also the solution to the system of equations of the two lines

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When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie.How man

Sladkaya [172]

Answer: 8 members of the science group decided to watch the science fiction movie

Step-by-step explanation:

When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.

If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes

1/5 × 40/= 40/5 = 8

8 members of the science group decided to watch the science fiction movie.

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3 years ago

Can someone help me ASAP!!!!

erica [24]

Left side I think is A is 12 sandcastles and B is 20 sandcastles.

3 0

3 years ago

What is 3/5 divided by -1/5

Aleks04 [339]

Answer:

-0.12

Step-by-step explanation:

(3/5) / (-1/5) = -0.12

4 0

3 years ago

Read 2 more answers

hury!!!! Which system is equivalent to StartLayout Enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 En

jeka57 [31]

Answer:

3rd Option

Step-by-step explanation:

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

8 0

3 years ago

Read 2 more answers

Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a

HACTEHA [7]

Answer:

$\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)$

Step-by-step explanation:

<u>Factored Form Of Polynomials </u>

If we know the roots of a polynomial as

$\alpha _1,\alpha _2,\alpha _3$

the polynomial can be expressed in factored form as

$a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)$

We are given two of the three roots of the polynomial:

$\alpha _1=1-3i$

$\alpha _2=2$

The other root must be the conjugate of the complex root:

$\alpha _3=1+3i$

Recall the product of two complex conjugate numbers is

$(1-3i)(1+3i)=1^2-(3i)^2=1+9=10$

The required polynomial is

$P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)$

$P(x)=a(x^2+2x+10)(x-2)$

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

$P(0)=10$

$P(0)=a(0^2+2(0)+10)(0-2)=10$

$-20a=10$

Thus the value of a is

$\displaystyle a=-\frac{1}{2}$

The expression of the required polynomial is

$\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}$

5 0

3 years ago