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3 years ago

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Mathematics

1 answer:

Anna [14]3 years ago

5 0

Answer:

Answer is - 2.

Step-by-step explanation:

(f+g) (x)=f(x) +g(x)=x^2 -2x +6x+4

=x^2 +4x+4=0

If x=-4, then (f+g) (-4) =16-16+4=4

if x=-2, then (f+g) (-2)=4-8+4=0

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1. Each kid eats the same amount of food each morning.

Serhud [2]

Answer:

a) One kid eat tubs of yogurt = 1.3 tub of yogurt

b) One kid eat granola = 3.33 ounces

c) cost to feed one kid each morning is $1.12

Step-by-step explanation:

Three kids eat tubs of yogurt = 4

Three kids eat granola = 10 ounces

Cost of one tub of yogurt = 54 cents

Cost of 10 ounces of cereal = $1.26

a) One kid eats how many tubs of yogurt in a morning?

Three kids eat tubs of yogurt = 4

One kid eat tubs of yogurt = 4/3

= 1.3 tub of yogurt

b) How many ounces of granola does a kid eat each morning?

Three kids eat granola = 10 ounces

One kid eat granola = 10/3

= 3.33 ounces

c) How much does it cost to feed one kid each morning?

Cost of 1 tub of yogurt = 54 cents

Cost of 1.3 tub of yogurt = 54*1.3 = 70.2 cents

Converting cents to dollar:

100 cents = 1 dollar

70.2 cents = $0.7

So, Cost of 1.3 tub of yogurt (for one kid)= $0.7

Cost of 10 ounces of cereal = 1.26

Cost of 1 ounce of cereal = 1.26/10

Cost of 3.33 ounces of cereal = (1.26/10)*3.33

= $0.42

Cost of 3.33 ounces of cereal (for one kid) = $0.42

Total cost for each kid = $0.42+$0.7 = $1.12

So, cost to feed one kid each morning is $1.12

7 0

3 years ago

30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

Which of the following expressions has 3 terms?<br><br> A 8x + y - z<br> B xyz<br> C y3 + 1

Alja [10]

Since C only has two and although it may look like B has three terms, when the letters are joined together like that they are basically just become one big term, so your answer would be A.

5 0

3 years ago

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Solve the following inequality for x, then describe what the graph would look like.

Alex17521 [72]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x≤−3

Interval Notation: ( − ∞ , − 3 ]

4 0

3 years ago

A student solved this problem and said the answer was 78.

katovenus [111]

It's B.) The student’s answer is not reasonable. Estimation: 170 + 90 = 260

8 0

3 years ago

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