All categories

3 years ago

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

The leading coefficients of f(x) and g(x) are opposites.

You might be interested in

I need help ASAP :/ I need the explanation

PtichkaEL [24]

Is 17x-2 supposed to be angle T? This is a bad question; demand better from your teachers.

Let's assume 17x-2 = angle T. S is a right angle because it's subtended by a diameter, Thales' Theorem. R is half 116 degrees, so 58 degrees. T is complementary, T=90-58=32 degrees.

17x -2 = 32

17x = 34

x = 2

Answer: 2

6 0

4 years ago

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9 years, and standard deviation of

Lostsunrise [7]

ANSWER

0.9738 or 97.38%

EXPLANATION

Given:

$\begin{gathered} mean(\mu)=6.9 \\ Standard\text{ }Deviation(\sigma)=1.6 \end{gathered}$

Desired Outcome:

Probability that it will last 10 years

z-score for the sample:

$\begin{gathered} z-score=\frac{X-\mu}{\sigma} \\ z-score=\frac{10-6.9}{1.6} \\ z-score=1.9376 \end{gathered}$

p-value

For the z-score of 1.9376, the p-value is 0.9738 or 97.38%

Hence, the probability that it will last longer than 10 years if you randonly purchase one item is 97.38%

7 0

1 year ago

PLEASE ANSWER ASAP<br> ..............................................

Tema [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

To add 2 integers with different sign you

vlabodo [156]

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.

Hope this helped.

7 0

4 years ago

Read 2 more answers

You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of

qwelly [4]

The present value of an annuity is given by

$PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)$

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

$51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\ \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\ \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\ \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73$

Therefore, the <span>monthly payment is $1,259.73</span>

6 0

4 years ago

Read 2 more answers