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2 years ago

If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?

Mathematics

1 answer:

Misha Larkins [42]2 years ago

6 0

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

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Quadratic equation solve using formula

kiruha [24]

Answer:

2 , 1\2

Step-by-step explanation:

b² - 4ac = (-5)² - 4*2*2

= 25 - 16

= 9

$\sqrt{b^{2}-4ac} = \sqrt{9} = \sqrt{3*3}=3$

$x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}$

8 0

2 years ago

Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,

Serhud [2]

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

4 0

2 years ago

Please help me. ASAP.Please I need answer step-by-step.

nikitadnepr [17]

so this is how i was taught the inverse function. f(x) is basicly the same thing as saying y

so y=x over x+3

you switch the top x with y so it turns in to x=y over x+3

the problem should tell you what x equals so substitute x with the number it equals and then solve

here is an example f(x)=x over x+3 and x=14

x=y over x+3

14=y over 14+3

the inverse inverse function would probably be just solve the equation so just substitute the number they give you for x in for x

4 0

3 years ago

If h(x) = 4x – 3 and p(x) = x2 – 3x, find p(-3) 18 0 -3

navik [9.2K]

Answer: p(-3)=18

Step-by-step explanation:

To find p(-3), you plug -3 into p(x) and solve.

p(-3)=(-3)²-3(-3) [exponent]

p(-3)=9-3(-3) [multiply]

p(-3)=9+9 [add]

p(-3)=18

Now we found that p(-3)=18.

7 0

2 years ago

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students

Roman55 [17]

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80
σ = 12
x = 104

Find z-score:

z = (x - μ)/σ
z = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

5 0

2 years ago