All categories

2 years ago

Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

To write it in standard form, we set the equation equal to 0. To do this, we add 6 to each side:

-6+6 = x² + 4x - 1 + 6

0 = x² + 4x + 5

The related function is

y = x² + 4x + 5

The value of c in this function is 5.

You might be interested in

What if the following is the sum of both solutions of the equation....

LuckyWell [14K]

answer

D 2

factor

factor the equation $x^{2} - 2x - 8 = 0$ into (x + a) and (x + b) so that a + b = -2 and a * b = -8

the two numbers that meet these conditions are a = -4 and b = 2

$x^{2} - 2x - 8 = (x - 4)(x + 2)$

find solutions

set both (x - 4) and (x + 2) equal to zero to find your solutions

x - 4 = 0

x = 4

x + 2 = 0

x = -2

add solutions

since the two solutions are x = 4 and x = -2, add them together to get your final answer

4 + (-2) = 2

6 0

2 years ago

Does this equation have exactly one solution

Alex73 [517]

Answer:

$13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no$

6 0

2 years ago

$35,125 loan, a feat which took ten years of quarterly payments. The loan had an interest rate of 7.44%, compounded quarterly. I

Darya [45]

First find the amount of each payment:
$35,125 = P(\frac{(1+i)^{40} -1}{i (1+i)^{40}}) , i = \frac{.0744}{4} \\ \\ P = 1252.70$

The total cost will be 40 payments plus service charges.
$40*1252.70 + 5180.70 = 55,288.90$

The percentage is the service charge divided by total cost:
$X = \frac{5180.70}{ 55,288.90} = .0937 = 9.37\%$

7 0

2 years ago

Which inequality can be used to represent this problem? (HELP ASAP, IM TIMED)

Nadya [2.5K]

Propane costs $3.50 per hundred pounds,

and there is a $6 monthly delivery fee.

A family has budgeted $85 for their propane this month.

Let 'x' hundreds of pounds can the family use without going over budget

Here family has budgeted $85 for their propane.

So the cost for Propane = $ 3.5x

One month delivery fee $6

Therefore cost + delivery charge not exceed $85

So 3.5x + 6 ≤ 85

3.5x=85-6 =79

x = 22.57

Therefore 22 hundreds of pounds can the family use without going over budget

8 0

2 years ago

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 20% plan to

alisha [4.7K]

Answer:

Part a: So the number of business owners giving holiday gift to their employees from survey is 12.

Part b: p-value is 0.00003

Part c: value of p is less that a we reject the null hypothesis.

Step-by-step explanation:

Part a

number of business owners=20% x n

number of business owners= 0.2x 60

number of business owners=12

Part b

H0: p=0.46

H1: p<0.46

Here

n=60, $\hat{p}$ =0.2, p=0.46

So test statistics is given as

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\z=\frac{0.20-0.46}{\sqrt{\frac{0.46(1-0.46)}{60}}}\\z=\frac{-0.26}{0.064}\\z=-4.04$

p-value is P(z<-4.04)= 0.00003

Part c

As value of p is less that a we reject the null hypothesis.

4 0

2 years ago