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3 years ago

What is the value for ƒ(x) = 3 squard 2x+1 when x=1/2

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

The answer is 10 as you simply plug in x in the f(x) problem so 3*2(.5)+1=10

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Which point is located at -7.75−7.75minus, 7, point, 75?

rosijanka [135]

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3 years ago

Uni made a model of a 1970 Ford Mustang using a scale of .5 inches = 9 in. If the actual car is 15 ft long, how long is the mode

kykrilka [37]

Answer:

The model car is 10 inches long

Step-by-step explanation:

To solve this question, we use conversion of units

Feet to inches.

Each feet has 12 inches.

The car is 15ft long.

So the car has 15*12 = 180 inches.

.5 inches = 9 in.

Rule of three

.5 inches - 9 inches

x inches - 180 inches

$9x = 180*0.5$

$9x = 90$

$x = \frac{90}{9}$

$x = 10$

The model car is 10 inches long

7 0

3 years ago

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: $a_n=a_1r^{n-1}$

We have a₁=26 and r = 0.5 n=10

$a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051$

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: $S_n=\frac{a(1-r^n)}{1-r}$

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

$S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48$

So, sum of first 18 terms of given sequence is 51.48

6 0

3 years ago

If the point on the graph is below the origin, x coordinates must be negative.

mariarad [96]

Answer:

true

Step-by-step explanation:

if the point if below or to the left of the origin, it is negative. if it is above or to the right of the origin, it is positive

8 0

3 years ago

Someone can help???

frozen [14]

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

∵ a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

∴ a = 4 ft

∵ b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

∴ b = 3 ft

∵ c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = $\sqrt{a^{2}+b^{2}}$

∴ c = $\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}$

∵ $\sqrt{25}$ = 5

∴ c = 5 ft

∴ The slant of the ladder is 5 ft

5 0

3 years ago