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Norma-Jean [14]
3 years ago
6

FOR 15 POINTS Determine whether each given value of h makes the inequality 4h + 13 ≤ −7 true. Select Yes or No for each value.

Mathematics
2 answers:
Norma-Jean [14]3 years ago
7 0

Answer:

Yes, no, yes

Step-by-step explanation:

Levart [38]3 years ago
6 0

Answer:

Yes,  No, Yes

Step-by-step explanation:

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The percentage of tax is 6%
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3 years ago
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Solve the question: (-4)+(-1)+2+5+...+x=437
Alex Ar [27]
The sequence is an arithmetic sequence with
a₁ = -4

d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3

an = x

Sn = 437


General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)

We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7

Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x -  4) = 874
xn - 4n = 874

Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.

Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50

The solution is 50
6 0
3 years ago
The ratio of pink roses bushes to white rose bushes in the city Garden is about 12 to 15. If there were 92 pink rose bushes, abo
andreyandreev [35.5K]

Answer:

115\ white\ rose\ bushes

Step-by-step explanation:

Let

x------> the number of pink roses bushes

y----> the number of white rose bushes

we know that

\frac{x}{y} =\frac{12}{15}

y=\frac{15}{12}x -----> equation A

x=92

substitute the value of x in the equation A

y=\frac{15}{12}(92)=115\ white\ rose\ bushes


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1,600

Step-by-step explanation:

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i think its 84 miles in 7 days

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