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choli [55]
2 years ago
14

The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?

Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

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1.Solve for w.
iren [92.7K]
Hi there,

1) 
6 + (w - 10) = 5
6 + w - 10 = 5
- 4 + w = 5
w = 5 + 4

Hence, W = 9

2)
2/3 + y - 1/9 = 7/9
5/9 + y = 7/9
y= 7/9 - 5/9

Hence, Y = 2/9

4)
4x - 3/2x - 15/4 = 3/8
32x - 12x - 30 = 3
20x - 30 = 3
20x = 3 + 30
20x = 33

Hence, the answer is 33/20

5)
0.7(3s + 4) - 1.1s = 7.9
2.1s + 2.8 - 1.1 = 7.9
s + 2.8 = 7.9
s = 7.9 - 2.8

Hence, the answer is 5.1

Hope this all helps :)
8 0
3 years ago
Read 2 more answers
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.
Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = \frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0
3 years ago
Read 2 more answers
How many ways can you order the digits 2,3,4 and 5. you can only use each number once?
butalik [34]
The number of permutations of the 4 different digits is:
4\times3\times2\times1=24

The answer is 24 ways.
5 0
3 years ago
The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per gallon does the car g
Ostrovityanka [42]

Answer:

25 miles per gallon

Step-by-step explanation:

if you divide the number of miles(387.5) by the number of gallons (15.5) you should get 25miles per gallon

5 0
3 years ago
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