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Masja [62]
3 years ago
8

Really need help like help on mat​

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0
What that person said^^^
Furkat [3]3 years ago
7 0

1.<em> no solution</em>

2.<em> one solution</em>

3.<em> infinitely many solutions</em>

4. <em>infinitely many solutions</em>

5.<em> no solution</em>

6.<em> one solution</em>

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The density of a certain material is such that it weighs 10 ounces per gallon of volume. Express this density in pounds per pint
poizon [28]

Answer:

0.08 pounds per pint.

Step-by-step explanation:

Given: The density of a certain material is such that it weighs 10 ounces per gallon.

We are to express this density in pounds per pint.

1 gallon ⇒ 10 ounces

1 pound = 16 ounces

How many pounds? = 10 ounces.

Cross-multiplying gives;

\frac{10 * 1}{16}  = 0.625 pounds

1 gallon = 8 pints

The density in pounds per pint is;

0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).

7 0
3 years ago
What is cos 45º?...........
Alenkinab [10]

Answer:

\frac{1}{\sqrt{2} }

Step-by-step explanation:

Cosine (cos) is adjacent by hypotenuse. \frac{adjacent}{hypotenuse}

In any of the 45° angles, 1 is adjacent and √2 is the hypotenuse.

So arrange them to get \frac{1}{\sqrt{2} }

5 0
3 years ago
Please help with all of these!!! VERY URGENT!!!
nlexa [21]
1. The coefficient is 5
2. The terms are 2x, 4y, and 8
3. The variables are c, cd, d and d
4. The constants are 2 and 14
5 0
3 years ago
Read 2 more answers
How to find the area of a triangle
Hunter-Best [27]
Base * height, then divide that answer by 2. Makes sense when you figure that two triangles can form a square or rectangle.
5 0
3 years ago
when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that
natima [27]

f(x)=(x-2)(x-3)Q(x)+ax+b

Recall the polynomial remainder theorem: the remainder upon dividing a polynomial p(x) by x-c is equal to p(c). This means that f(2)=4 and f(3)=7, which tell us

4=2a+b

7=3a+b

From here we can solve for a,b:

4=2a+b\implies b=4-2a

7=3a+b=3a+(4-2a)\implies a=3\implies b=-2

so that

f(x)=(x-2)(x-3)Q(x)+3x-2

Now,

\dfrac{f(x)}{(x-2)(x-3)}=Q(x)+\dfrac{3x-2}{(x-2)(x-3)}

so the remainder upon dividing f(x) by (x-2)(x-3) is 3x-2.

Next, if f is a cubic function, then Q(x) is a linear polynomial that can be written as Q(x)=cx-d. The coefficient of x^3 in f(x) is 1 (unity), so that expanding f(x) gives us

f(x)=(x-2)(x-3)(cx-d)+3x-2

f(x)=(cx^3-(5c+d)x^2+(6c+5d)x-6d)+3x-2

f(x)=cx^3-(5c+d)x^2+(6c+5d+3)x-(6d+2)

\implies c=1

and we also have that f(1)=1, so that

1=1-(5+d)+(6+5d+3)-(6d+2)

\implies2d=2\implies d=1

so that

Q(x)=x-1

4 0
3 years ago
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