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Law Incorporation [45]

2 years ago

5

A homing pigeon flew a distance of 120 miles in 4 days. If it flew x miles in the first 3 days, write an expression to tell how

many miles it flew on the last day.
THANKS!

2 answers:

mart [117]2 years ago

8 0

If the last day is y. and then the answer will be y=120-x

frosja888 [35]2 years ago

6 0

120 miles = X miles -------------- ---------- 4 days. 3days 120 miles X 3 days ----------- = 90miles 4 days days/days = 1 Check: 120 = 90 ----- ---- 30 = 30 \✅ 4. 3

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

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3 years ago

Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6

Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

$9x^{2}+9x-18=9(x+2)(x-1)$

Simplify the denominator

$3x+6=3(x+2)$

substitute in the original expression

$f(x)=\frac{9(x+2)(x-1)}{3(x+2)}$

Simplify

$f(x)=3(x-1)$

$f(x)=3x-3$

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of x cannot be equal to -2

The graph in the attached figure

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3 years ago

The perimeter of a rectangular garden is 26 ft. What is the width of the

Morgarella [4.7K]

Answer:

21 is answer..........

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2 years ago

Read 2 more answers

Help please (will chose brainliest).

lara [203]

Answers with Explanation.

i. If we raise a number to an exponent of 1, we get the same number.

${10}^{1} = 10$

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

${10}^{2} = 10 \times 10 = 100$

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

${10}^{3} = 10 \times {10}^{2} = 10 \times 100 = 1000$

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

${10}^{4} = 10 \times {10}^{3} = 10 \times 1000 = 10000$

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.

${10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000$

${10}^{5} = 100000$

vi. Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$
We apply this law of exponents to obtain,

${10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}$

vii. We apply
${a}^{ - m} = \frac{1}{ {a}^{m} }$
again to obtain,

${10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000}$

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The area of the trapezoid is A= 56

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2 years ago

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