All categories

2 years ago

For what values of x is x2 + 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4

Mathematics

1 answer:

alexgriva [62]2 years ago

9 0

Answer:

Option C

x²+ 2x -24=0

x²+6x-4x-24= 0

x(x+6) -4(x+6) = 0

(x+6)(x-4) = 0

x= -6 and 4

Therefore, for x = 4 and -6 , the above given equation is true.

You might be interested in

Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent er

antoniya [11.8K]

Solution: We are given:

Predicted Sales by Sameera $=38$

Actual Sales by Sameera $=28$

Now to find the Percent error, we have to use the below formula:

$Percent-Error= \frac{|Predicted-value - Actual-value|}{Actual-value} \times 100 \%$

$=\frac{|38-28|}{28} \times 100 \%$

$=\frac{10}{28}\times 100 \%$

$=35.71 \%$

Therefore, the percent error is $35.71 \%$

8 0

2 years ago

Read 2 more answers

Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveli

creativ13 [48]

The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars

The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros

We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n 

According to this the following statement is true:
A) (D x E)(n) = 5.10(0.72n)

8 0

2 years ago

An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4

Y_Kistochka [10]

Answer:

Fantasy: 3 barrels
Ecstasy: 1 barrel

Step-by-step explanation:

Given

Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

In stock are 16 lb of nuts, 10 lb of chocolate

Find

amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

4x +4y ≤ 16 . . . lb of nuts

3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

50x +40y

The graph shows the feasible region. Its vertices are ...

(0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

8 0

2 years ago

What is the true solution to In 20+In 5= 2 In x? #31

Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0

2 years ago

Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75

ryzh [129]

Answer:

Answer is 0.25 to 0.5

Step-by-step explanation:

Let the linear function be $y=x$

and exponential function be $y=e^x$

x 0.25 0.5 0.75 1.0 1.25 1.5

y 0.25 0.5 0.75 1.0 1.25 1.5

Diff 0.25 0.25 0.25 0.25 0.25

e^x 1.29 1.65 2.12 2.72 3.49 4.48

Diff 0.36 0.47 0.60 0.77 0.99

Hence 0.36 to be nearer to 0.25, than other intervals

So answer is 0.25 to 0.5

3 0

1 year ago

Read 2 more answers