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3 years ago

How many terms are included in the expression below?

Mathematics

2 answers:

snow_lady [41]3 years ago

6 0

Answer:

Step-by-step explanation:

shutvik [7]3 years ago

3 0

Answer:

3 terms

Step-by-step explanation:

In this problem, we are given an expression of a quadratic function of a single variable x as x² - 3x + 7.

Now, we have to find the number of terms included in the above-given expression.

The expression includes two x terms and one constant term.

Therefore, the whole expression has total ( 2 + 1 ) = 3 terms. (Answer)

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The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0

3 years ago

The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?

miskamm [114]

Answer:

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0

3 years ago

What us tge initial value of the linear function y= 5x - 6

Dovator [93]

X=1/5y+6/5
hope this helps!

3 0

3 years ago

List the angles in triangle QRS from smallest to largest.

schepotkina [342]

Answer:

angle R

Step-by-step explanation:

To solve this we will use cosine rule

Cosine rule

cos(A) = $\frac{b^{2}+c^{2}-a^{2}}{2bc}$

suppose,

q = 6.25

s = 11.04

r = 13.19

angleQ = $cos^{-1}(\frac{13.19^{2}+11.04^{2}-6.52^{2}}{2(13.19)(11.04)})$

= 30.58

angleR = $cos^{-1}(\frac{6.52^{2}+11.04^{2}-13.19^{2}}{2(6.52)(11.04)})$

= 93.82

angleS = $cos^{-1}(\frac{6.52^{2}+13.19^{2}-11.04^{2}}{2(6.52)(13.19)})$

= 56.63

4 0

2 years ago

Mhanifa can you please help? I will mark brainliest!

Rzqust [24]

Answer:

Given function

h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 1
2y = x + 1
y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function will contain same numbers with swapped domain and range.

Initial look is like this:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | | 0 | | 1 | | 2

The rest of the table is filled in by finding the values:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2

7 0

2 years ago