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bixtya [17]
4 years ago
8

Factor f(x) = 4x^2 − 5x − 21

Mathematics
1 answer:
jeka944 years ago
4 0

Answer:

x = -7/4, 3

Step-by-step explanation:

Use quadratic formula

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If the expression x^{-\frac{3}{2}}y\sqrt{36xy^2}x − 2 3 ​ y 36xy 2 ​ is written in the form ax^by^cax b y c , then what is the p
Mekhanik [1.2K]

Answer:

-12

Step-by-step explanation:

The given expression is

x^{-\frac{3}{2}}y\sqrt{36xy^2}

We have to rewrite the given function in the form of  

ax^{b}y^c          ....(i)

then we have to find the product of a,b and c.

The given expression can be rewritten as

x^{-\frac{3}{2}}y\sqrt{36}\sqrt{x}\sqrt{y^2}

Using properties of exponents we get

x^{-\frac{3}{2}}y6x^{\frac{1}{2}}y       [\because \sqrt[n]{a}=a^{\frac{1}{n}}]

6x^{-\frac{3}{2}+\frac{1}{2}}y^{1+1}      [\because a^ma^n=a^{m+n}]

6x^{-1}y^{2}      ...(ii)

On comparing (i) and (ii), we get

a=6,b=-1,c=2

Product of a,b and c is

abc=(6)(-1)(2)=-12

Therefore, the product of a,b, and c is -12.

7 0
4 years ago
HELP PLEASE???!!!!!!!
Fiesta28 [93]

Answer:

<h2>A. (-4, -15)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{3}{4}x-12&(1)\\y=-4x-31&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\\dfrac{3}{4}x-12=-4x-31\qquad\text{multiply both sides by 4}\\\\3x-48=-16x-124\qquad\text{add 48 to both sides}\\\\3x=-16x-76\qquad\text{add}\ 16x\ \text{to both sides}\\\\19x=-76\qquad\text{divide both sides by 19}\\\\x=-4\\\\\text{Put it to (2):}\\\\y=-4(-4)-31\\y=16-31\\y=-15

7 0
4 years ago
10 feet long and 5 feet wide. What is its area?
Vesna [10]

Answer:

50 square feet

Step-by-step explanation:

Length x width

8 0
3 years ago
Read 2 more answers
HELP ASAP WITH THESE QUESTIONS
tensa zangetsu [6.8K]
The dependent variable is f(m)...total money earned per day
the independent variable is m...number of miles

f(m) = 3.5m + 65

for 40 miles..
f(40) = 3.5(40) + 65
        = 140 + 65
        = 205 <== money earned for the day
========================
the dependent variable is f(p)....total charged
the independent variable is p...the number of pounds

f(p) = 3.5p

for 5 lbs...
f(5) = 3.5(5)
f(5) = 17.50 <== total that was charged


8 0
4 years ago
6 ones 7 hundredths - 2.3
lorasvet [3.4K]
6.7-2.3= 4.4 is the answer to the problem
3 0
3 years ago
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