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IgorC [24]
3 years ago
11

Which expression is equivalent to 0.75a + 10b + a – 2b?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:


Step-by-step explanation:

Sum a with a-s ;b with b-s so:

0.75a + 10b + a – 2b=0.75a+a+10b-2b=1.75a+8b

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X+y+z=1<br> 2x+4y+6z=2<br> -x+3y-5z=11
sleet_krkn [62]
<span><span> x = 0</span> <span>  y = -x/2+2</span> <span>  z = -x-y+1 
hope this helps fam :)</span></span>
4 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 6% sugar. The portion of Beverage B that is sugar is 0.21. H
muminat

Answer:

3.5 more times sugar in B

Step-by-step explanation:

We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:

0.21 * 100 /100 =  21/100 = 21% percent

This means that for every 100 units, 21 are sugar.

Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:

21/6= 3.5

This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.

So, B has 3.5 times more sugar than A.

5 0
3 years ago
Precalc help needed, find g ° f!
Nezavi [6.7K]

Answer:

g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)

Step-by-step explanation:

g o f = g [ f(x) ]

This means replace the x of g(x) with f(x):

g o f = -[f(x)]² + 3 = -(|x|)² + 3

As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)

So g o f = g(x)

8 0
2 years ago
PLEASE ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLIEST IF ITS CORRECT. I NEED THIS, I CANT DO ANYTHING FOR CHRISTMAS IF I FAIL
Sophie [7]

Answer:

1 is 50 min

Step-by-step explanation:

big brain

7 0
3 years ago
Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?
igomit [66]

Answer:

Option 1 is correct.

Step-by-step explanation:

The given polynomial is

f(x)=20x^4+x^3+8x^2+x-12

we have to find  all the rational roots of the polynomial f(x)

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of \frac{p}{q}

where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

\text{All possible factor of -12 are }\pm1,\pm2, \pm3, \pm4,\pm6,\pm12

\text{All possible factor of 20 are }\pm1,\pm2,\pm4,\pm5,\pm10,\pm20

So, the all possible rational roots of the given polynomial are,

\pm1,\pm2, \pm3, \pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5},\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}

Now, the rational roots of polynomial satisfy the given polynomial

f(-\frac{4}{5})=20(-\frac{4}{5})^4+(-\frac{4}{5})^3+8(-\frac{4}{5})^2-\frac{4}{5}-12=\frac{256}{625}\times 20-\frac{64}{125}+\frac{128}{125}-\frac{4}{5}-12

=\frac{1024}{125}-\frac{64}{125}+\frac{128}{25}-\frac{4}{5}-12

=\frac{960}{125}+\frac{128}{25}-\frac{4}{5}-12=12-12=0

Hence, rational root.

f(\frac{3}{4})=20(\frac{3}{4})^4+(\frac{3}{4})^3+8(\frac{3}{4})^2+\frac{3}{4}-12=\frac{405}{64}+\frac{27}{64}+\frac{9}{2}+\frac{3}{4}-12=0

rational root

f(1)=20(1)^4+(1)^3+8(1)^2+1-12=20+1+8-11=18\neq 0

not a rational root.

hence, option 1 is correct

8 0
4 years ago
Read 2 more answers
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