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2 years ago

B=3/4a a+b=21 A. a=30 b=15 B.a=371/4 b=-161/4 C. a=20 b=11 D. a=12 b=9

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

Answer:

D option

Step-by-step explanation:

a + b = 21

Placing value of b as 3/4a,

a + 3/4a = 21

7a/4 = 21

a = 12

Putting value of a in b=3/4a,

b = 3 × 12/4 = 9

a = 12, b = 9

Hope it helps.

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If f x = 7x 2 − 4x − 10, then f −3 =?

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Answer:

f(x)=xy3 -4xy2 -7x+10

Step-by-step explanation:

the xy3 and xy2 means x to the 3rd power and x to the second power

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3 years ago

Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab

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Answer:

$1\frac{9}{10}\ m$

Step-by-step explanation:

we know that

To find out how much more blue fabric than yellow fabric does Marcus need, subtract the quantity of yellow fabric from the quantity of blue fabric

step 1

Convert mixed number to an improper fraction

$3\frac{1}{10}\ m=\frac{3*10+1}{10}=\frac{31}{10}\ m$

$1\frac{1}{5}\ m=\frac{1*5+1}{5}=\frac{6}{5}\ m$

step 2

Subtract the numbers

$\frac{31}{10}-\frac{6}{5}=\frac{31}{10}-\frac{12}{10}=\frac{19}{10}\ m$

Convert to mixed number

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2 years ago

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Of the first 100 customers to walk into a grocery store, 9 bought flowers. What is that percent of the customers that bought flo

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2 years ago

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What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

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3 years ago

Which graph represents an exponential function?

geniusboy [140]

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

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The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

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1 year ago