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2 years ago

What is the solution of the equation w/4 +3= w/3

Mathematics

1 answer:

bazaltina [42]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the smallest zero of f(x+5)

podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

$f(x) = {x}^{2} + 3x - 10$

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

$f(x) = {(x + 5)}^{2} + 3(x + 5) - 10$

Expand:

$f(x) = {x}^{2} + 10x + 25+ 3x + 15- 10$

Simplify to obtain

$f(x) = {x}^{2} + 13x + 30$

We now compare with,

$f(x) = {x}^{2} + kx + 30$

This implies that:

$k = 13$

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

${x}^{2} + 13x + 30 = 0$

${x}^{2} + 10x + 3x + 30 = 0$

$x(x + 10) + 3(x + 10) = 0$

$(x + 3)(x + 10) = 0$

$x = - 10 \: or \: x = - 3$

The smallest zero is -10.

7 0

2 years ago

Read 2 more answers

In which figure is point G a centroid?

NemiM [27]

Answer: I’m pretty sure the second one (b)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

To write the polynomial −x^3 + x^4 + x − x^2 in standard form, which term should go first?

Goshia [24]

Answer: OPTION D

Step-by-step explanation:

To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial $-x^3 + x^4 + x - x^2$ , you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

$x^4 - x^3 - x^2+x$

Therefore, the term that should go first is: the quartic term.

8 0

3 years ago

Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merl

KengaRu [80]

Can anybody help. :) Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.

5 0

2 years ago

There are 4,200 adults in Lakeview. Three-eighths of the adults in Lakeview do not have children. How many adults in Lakeview ha

Inessa [10]

To answer this, you first have to find 3/8 of 4200 by multiplying those two numbers.

$\frac{4200}{1} *\frac{3}{8}$

First, multiply the numerators.

4200x3=12600

Next, multiply the denominators.

1x8=8

You end up with $\frac{12600}{8}$ .

This fraction can be simplified to 1575.

All that's left is to subtract that number from 4200.

4200-1575=2625

The final answer is 2625 adults in Lakeview have children.

8 0

3 years ago