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Juli2301 [7.4K]
3 years ago
5

2. If x=2, y=3 findvalue of x²-5y+2​

Mathematics
2 answers:
kozerog [31]3 years ago
8 0

Answer:

-9

Step-by-step explanation:

x² - 5y + 2 when x = 2 and y = 3

→ Substitute in x = 2 and y = 3

x² - 5y + 2 ⇔ (2)² - (5 × 3) + 2

→ Simplify

(2)² - (5 × 3) + 2 ⇔ (4) - (15) + 2

→ Simplify further

(4) - (15) + 2 ⇔ 4 - 15 + 2  

→ Simplify further

4 - 15 + 2 ⇔ -11 + 2

→ Work out -11 + 2

-11 + 2 = -9

Damm [24]3 years ago
5 0

Answer:

-9

Step-by-step explanation:

Substitute the give values into the correct place in the equation.

Since x=2, y=3,

Place "2" in the x of the equation, and "3" into the y of the equation.

x²-5y+2​

= 2² - 5(3) + 2

= 4 - 15 + 2

= -9

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(6, - 3, 1) and (8,9,-11) find the angle between the vector​
Svetllana [295]

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>

Let \vec u = \langle 6, -3, 1 \rangle and \vec v = \langle 8,9,-11 \rangle, the angle between the two vectors is determined from definition of dot product:

\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right) (1)

Where:

\vec u, \vec v - Vectors.

\|\vec u\|, \|\vec v\| - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that \vec u = \langle 6,-3,1 \rangle and \vec v = \langle 8, 9,-11 \rangle, then the angle between the two vectors is:

\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]

\theta \approx 84.813^{\circ}

The angle between the two vectors is 84.813°.

6 0
2 years ago
Pls answer this for me, this is the remainder theorem for grade 9 so help me.
scZoUnD [109]
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
3 0
2 years ago
Why could the mean of the data set below be misleading? ages of teachers: 29, 38, 39, 26, 29, 29, 39, 77, 38, 29
daser333 [38]
The mean of the problem is 37.3. All you need to do is add all the numbers together and then divide them by the amount of numbers. So I added them all and divided by 10.
8 0
3 years ago
Can someone help me with this Khan Academy? I have a picture attached below.
Darina [25.2K]

Answer:

B, g(n) = 50*1.15^n

Step-by-step explanation:

It's a geometric sequence because the money is increasing by a percentage every year.

6 0
2 years ago
I dont understand I need help
gregori [183]

Answer:

7.4825 km or 7.48 km (rounded to nearest hundredth)

Step-by-step explanation:

<u>Ranch's measurements rounded up to the nearest hundredth:</u>

1st measurement = \sqrt{60} = 7.75 km

2nd measurement = \frac{58}{8} = 7.25 km

3rd measurement = 7.3(recurring) = 7.33 km

4th measurement = 7\frac{3}{5} = 7.60

<u>The average of the four measurements is:</u>

(7.75 + 7.25 + 7.33 + 7.60) ÷ 4 = 7.4825 km or 7.48 km (rounded to nearest hundredth)

6 0
3 years ago
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