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devlian [24]
2 years ago
10

Which statement is true regarding the graphed functions?

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0

Answer: A. f(0) = g(0)

Step-by-step explanation:

EastWind [94]2 years ago
3 0

Answer:

f(0) = g(0)

Step-by-step explanation:

  • if a function h(x) passes through [a,b] then it can be said that h(a)=b.
  • given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

  • f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

  • therefore, f(0)=g(0)=4.
  • so, first option is correct.
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Find the correct answer and solve?<br>|y-9|=6
balandron [24]
|y-9|=6

y-9=6
y-9=-6

y=15
y=3

So, y=15,3
5 0
3 years ago
Solve the equation by Completing the Square<br> x2 – 10x + 13 = 0
user100 [1]

Answer:

x=5+\sqrt{12}

or

x=5-\sqrt{12}

Step-by-step explanation:

x^2-10x+13=0

x^2-10x=-13

x^2-10x+(\frac{10}{2})^2 =-13+(\frac{10}{2})^2

x^2-10x+(5)^2=-13+(5)^2

x^2-10x+25=-13+25\\x^2-10x+25=12

Factor.

(x-5)^2=12

Extract the square root.

x-5=\frac{+}{} \sqrt{12}

Add 5

x=5+\sqrt{12}

or

x=5-\sqrt{12}

4 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime
Dennis_Churaev [7]
Pretty sure it’s the second option because length would be 3w+2
and width would be w+1 and with area you have to multiply so it would just be the (w+1)(3w+2)
5 0
2 years ago
Read 2 more answers
Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.
WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

  • na + mc = x
  • nb + md = y

∵ a  ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0
3 years ago
Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digi
Nutka1998 [239]

Answer:

  18

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

  10x +y = 2(x +y)

  1 ≤ x ≤ 9

  0 ≤ y ≤ 9

The equation can be simplified to ...

  8x = y

The only single-digit values for x and y that satisfy the requirements are ...

  x = 1, y = 8

The two-digit number of interest is 18.

_____

<em>Check</em>

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

<em>Comment on the relationship in the problem</em>

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.

8 0
3 years ago
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