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3 years ago

Write the following quadratic in vertex form X^2-10x+7

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Hello,

y=x²-10x+7=x²-2*5x+25-25+7=(x-5)²-18
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A certain car can travel on a highway for 350 miles on 15 gallons of gas and in a city for 280 miles on 18 gallons of gas. If th

user100 [1]

Answer:

The car's average 18 number of miles per gallon

Step-by-step explanation:

The car has different efficiencies depending if its used on highway or city streets.

The efficiency on a highway is:

$E_h=\dfrac{350}{15}\;\text{miles/gal}=23.33\;\text{miles/gal}$

The efficiency for city driving is:

$E_c=\dfrac{280}{18}\;\text{miles/gal}=15.56\;\text{miles/gal}$

We now that the car uses twice as many gallons for city driving as for highway driving. This means that, for every gallon consumed, 2/3 are for city driving and 1/3 are for highway driving.

Then, we can calculate how many miles makes the car on average as:

$E=\dfrac{1}{3}E_h+\dfrac{2}{3}E_c\\\\\\E=\dfrac{1}{3}\cdot 23.33+\dfrac{2}{3}\cdot15.56=7.78+10.37=18.15\;\text{miles/gal}$

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3 years ago

10 girls go to see a chick flick together on a Friday night at their local megaplex. They buy x large popcorns and y large fount

oee [108]

Answer:

Step-by-step explanation:

7 0

3 years ago

Help..?<br><br><br><br><br><br><br>................

ad-work [718]

The answer is:
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3 years ago

Which sequence are geometric? Check all that apply

Ann [662]

Answer:

Step-by-step explanation:

$\text{If}\ a,\ b,\ c,\ d,\ e,\ ...\ \text{is a geometric sequence, then}\ \dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=\dfrac{e}{d}=....\\\\\#1\\\\\dfrac{7.5}{10}=0.75\\\dfrac{5.625}{7.5}=0.75\\\dfrac{4.21875}{5.625}=0.75\\\boxed{YES}\\================================\\$

$\#2\\\\\dfrac{40}{160}=\dfrac{1}{4}\\\dfrac{10}{40}=\dfrac{1}{4}\\\dfrac{2.5}{10}=\dfrac{1}{4}\\\boxed{YES}\\================================\\$

$\#3\\\\\dfrac{70}{20}=3.5\\\dfrac{245}{70}=3.5\\\dfrac{857.5}{245}=3.5\\\boxed{YES}\\================================\\$

$\#4\\\\\dfrac{16.5}{13}=\dfrac{165}{130}=\dfrac{33}{26}\\\dfrac{20}{16.5}=\dfrac{200}{165}=\dfrac{40}{33}\neq\dfrac{33}{26}\\\boxed{NO}\\================================\\$

$\#5\\\\\dfrac{5.5}{5}=1.1\\\dfrac{6.05}{5.5}=1.1\\\dfrac{6.655}{6.05}=1.1\\\boxed{YES}\\================================\\$

$\#6\\\\\dfrac{17.1}{16}=1.06875\\\dfrac{18.2}{17.1}=1.0643274..\neq1.06875\\\boxed{NO}$

5 0

3 years ago

Help leave in simplest radical form

BabaBlast [244]

Answer:

√23 is the answer of the question

4 0

3 years ago