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3 years ago

The sum of two times a number and six is equal to two times the sum of a number and three

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

2x+6=2(x+3)

Step-by-step explanation:

let x represent the unknown number

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The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y =

Keith_Richards [23]

Answer: C: on the science test because the y-intercept is greater

Step-by-step explanation: I got the question right on edge.

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3 years ago

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Has grades of 71 and 87 on her first two algebra tests. if she wants an average of at least 75, what possible scores can she mak

Vikki [24]

On her third test she should get 67 marks
so therefore 71 + 87 + 67 = 225
225 divide by 3 (as three tests) = 75

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3 years ago

Find the missing angle *

madreJ [45]

Answer:

53°

Step-by-step explanation:

b+37°=90°(being sum of angles of right angle)

or,b=90°-37°

or,b=53°

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4 years ago

In Diagram 6, JCK is a tangent to the circle ABC

Igoryamba

Answer:

Step-by-step explanation:

if you don't know it choose C

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3 years ago

..vertex: (4, -1)<br> f(3) = -6

s344n2d4d5 [400]

Answer:

$\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$f(x)=a(x-h)^2+k$

$(h;\ k)$ - vertex

We have

vertex $(4;\ -1)\to h=4;\ k=-1$

$f(3)=-6$

Therefore we have:

$f(x)=a(x-4)^2+(-1)=a(x-4)^2-1$

Substitute $x=3$ and $f(3)=-6$

$a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5$

Finally:

$f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81$

4 0

3 years ago