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Elina [12.6K]
3 years ago
6

Y= -(x-1)(x+3) has how many roots

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

Answer:

two

Step-by-step explanation:

Two

x - 1 = 0

x = 1

x + 3 = 0

x = - 3

You can see them for your self. The roots are the points where the graph cuts the x axis.

(1,0) and

(-3,0)

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Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r
Nonamiya [84]

Answer:

The answer to your question is: Japan

Step-by-step explanation:

Mobile cost in Spain = € 352.5

Mobile cost in Japan = ¥39856

Exchange rate = £1 = €1.41

                           £1 = ¥188

Cost of mobile in pounds

                       £ 1 ------------------ € 1.41

                        x  -----------------   €352.5

                       x = (352.5 x 1) / 1.41

                       x= £250

                      £1   ------------------  ¥188

                      x    ----------------- -¥ 39856

                     x = (39856 x 1) / 188

                     x = £212

Then, it was cheaper in Japan

8 0
3 years ago
Read 2 more answers
Write 6.2 as a fraction and in word form.
nevsk [136]

6.2:

fraction: .2 = 0.20 = 20/100

fraction: 6 20/100

Word form: six point two

two and five hundredths

fraction: 2 5/100

decimal form 2.05

hope this helps

3 0
3 years ago
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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Figure abcd is a square. Find the measure of < ABE
kotegsom [21]

Answer:

45 degrees

Step-by-step explanation:

Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide  90 by 2.

3 0
3 years ago
Read 2 more answers
What does 7^x=21 in a logarithmic equation
Leviafan [203]
Loga x=n ⇔ a^n=x
log₇ 21=x

x=log ₇ 21
x=ln 21 / ln7=1.564575034...

Answer: x=log₇ 21
8 0
3 years ago
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