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Xelga [282]
3 years ago
14

Y=-x? - 10x + 24 What is the y-value of the vertex?

Mathematics
1 answer:
Len [333]3 years ago
6 0
The y-value of the vertex is 1
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What number divided by 8 equals 9
lora16 [44]

9 x 8= 72, so the answer would be:


72

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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125
Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

6 0
3 years ago
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Mamont248 [21]
(-8 + 0 / 2) (7 + 1 / 2)
(-8/2) (8/2)
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Midpoint = (-4,4) [Answer]
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What is the slope of a line perpendicular to AB if A (-2,-1) and B (0,4)
Nata [24]

Answer:

hgrtghjthweg

Step-by-step explanation:

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Please help me answer number 38.
julia-pushkina [17]

The request is to find the intersection of the two sets. By definition, the intersection of two sets is another set, composed by all the elements appearing in both sets.

In other words, P\cap Q is the set of all elements that P and Q have in common.

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P\cap Q=\{1, 3, 5, 7, 9\}

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