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3 years ago

F(x)=20-x^2+8x what are the minimum and maximum points and the axis of symmetry?

1 answer:

5 0

Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate

max is (4,36)
axis of symmetrry is x=4

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Solve the radical equation. which is an extraneous solution to the radical equation? x = −1 x = 1 x = 5 there are no extraneous

qwelly [4]

Hence, the correct option is (D)There are no extraneous solutions to the equation.

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to learn more about expressions: brainly.com/question/1859113

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8 0

1 year ago

Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou

MrRa [10]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

----> equation A

Samantha worked 2 more hours than Eli

----> equation B

solve the system by substitution

substitute equation B in equation A

solve for x

Find the value of y

substitute the value of x in equation B

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

5 0

3 years ago

Please answer this correctly

Ksivusya [100]

Answer:

17 teaspoons

Step-by-step explanation:

1 tbs : 3 tsp

$5 \frac{2}{3} = \frac{17}{3} \\ \frac{17}{3} tbs \: = 3( \frac{17}{3} )tsp \\ \frac{17}{3} tbs = 17tsp$

Always start by converting mixed numbers into fractions;

multiply the whole number part by the denominator (under part) of the fraction part and add this to the numerator (upper part);

Then simply apply the ratio.

8 0

3 years ago

the directions on a bottle of vinegar say "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution". the ratio o

Hoochie [10]

The mixture is 1 cup of vinegar to 1 gallon of water.
Since 1 gallon is 16 cups, it could also be
1 cup of vinegar to 16 cups of water.
If we had 80 fluid ounces of water, we'd have to change the water to 5 fluid ounces to keep the mixture the same. (It's still 1 part vinegar, 16 parts water)

7 0

3 years ago

Read 2 more answers

Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980

Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed) 40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:

speed plane (y) in direction A to B plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360 (1)

The return fly took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440 (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation (1) y + (-x) = 360 y - x = 360 y = 360 + x (1)

In the second equation

y + x = 440 then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x 360 + 2x = 440 or 2x = 440 – 360

x (440 - 360)/2

x = 40 miles/hr

X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1) y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0

3 years ago