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3 years ago

How many soultions have 12×+1=3(4×+1)-2

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Answer:

No solution

Step-by-step explanation:

12×+1=3(4×+1)-2

Opening brackets

12x + 1 = 12x + 3 - 2

Collecting like terms

12x - 12x = 3 - 2 - 1

Since x is cancelled out. No solution

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Write each sum as a product of two factors for 6•7+3•7

lapo4ka [179]

65 is the product of this

6 0

2 years ago

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

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

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

$a(n+1)=an*0.50$

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

2 years ago

Read 2 more answers

6b.) Hence, or otherwise, evaluate g(f(3))

statuscvo [17]

Answer:

-25

Step-by-step explanation:

g(f(3))= g(-5)

=4(-5)-5

= -20-5

=-25

6 0

3 years ago

Read 2 more answers

Estimate then find the difference or sum <br><br> 86+17

kumpel [21]

Estimation for addition: 86 rounds up to 90 and 17 rounds up to 20 so:
90 + 20 = 110
Estimation for subtraction is the same thing but with subtraction
90 - 20 = 70

Now for the exact answers:
86 + 17 = 103
86 - 17 = 69

Your answers are 110, 70, 103, and 69.

8 0

2 years ago

20 points, please help

Damm [24]

Answer:

The answer to your question is: 83 + 6 $\sqrt{35}$