All categories

2 years ago

Function: y = x^2+ 5x - 7 Vertex:( Solutions:( and

Mathematics

1 answer:

tino4ka555 [31]2 years ago

8 0

Answer:

Vertex: $(-\frac{5}{2} , -\frac{53}{4})$

Solutions: (0,-7), (1, -1), (2, 7)

I hope this helps!

You might be interested in

Marcus can carry a maximum of 25kg of gravel at one time

olganol [36]

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

6 0

2 years ago

Read 2 more answers

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

2 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

If x = 10, find the value of:<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%7Bx%7D%5E%7B2%7D%28x%20-%205%29%20%7D%7B10x

vesna_86 [32]

Answer:

$10$

Step-by-step explanation:

$\frac{2(10)^2(10-5)}{10(10)}$

Square the 10.

$\frac{2(100)(10-5)}{10(10)}$

Subtract 10 with 5.

$\frac{2(100)(5)}{10(10)}$

Multiply the numbers in the numerator.

$\frac{2(500)}{100}$

$\frac{1000}{100}$

Divide 1000 with 100.

$=10$

4 0

2 years ago

Read 2 more answers

Solve for x. −34(x+2)=6 Enter your answer in the box. 20 pts please help

DiKsa [7]

Answer: in decimal form its -2.17

exact form is -37/17

and mixed number form its -2 3/17

8 0

3 years ago

Read 2 more answers