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3 years ago

7 times the sum of "a" squared and "b"minus 4 times the sum of "a" squared and "b"

2 answers:

7 0

==> 7 cows minus 4 cows = 3 cows .

==> 7 rocks minus 4 rocks = 3 rocks

==> 7 of anything minus 4 of the same thing = 3 of them

==> 7 times (the sum of "a" squared and "b")
minus
4 times (the sum of "a" squared and "b")
leaves
3 times (the sum of "a" squared and "b")

Sidana [21]3 years ago

4 0

7*a^2 + b - 4*a^2 + b
7a^2 + b - 4a^2 + b
3a^2 + 2b

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Two groups went hiking, leaving at the same time and arriving back at the same time. While one group moved away at the speed 6 m

Evgesh-ka [11]

Step-by-step explanation:

d = the distance in one direction.

the time t1 it took group 1 was

t1 = d/6 + d/4

and t2 for group 2 moving with speed2 all the way

t2 = (d+d)/speed2

we know

2d = 24 miles

d = 12 miles

t1 = t2

so,

12/6 + 12/4 = 24/speed2

2 + 3 = 24/speed2

5 = 24/ speed2

5×speed2 = 24

speed2 = 24/5 = 4.8 mph

the second group moved with 4.8 mph.

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2 years ago

If my mother has 5 boys and my father has 4 girls, what is the probability of one being a boy?

Marrrta [24]

Answer:

5/9

Step-by-step explanation:

4+5=9 and there are 5 boys

3 0

2 years ago

What is 2878 divided by 55

likoan [24]

Answer:

52.3272727...

the 27 at the end is repeating

8 0

3 years ago

Read 2 more answers

The graph of this function is shifted downwards and the axis of symmetry remains x=1. Which function below the equation of the n

Natali5045456 [20]

Answer:

$y=-x^{2}+2x$

$y=-x^{2}+2x-4$

$y=-x^{2}+2x-3$

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

The axis of symmetry is equal to the x-coordinate of the vertex

$x=h$

If a> 0 then the parabola open upward (vertex is a minimum)

If a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

$y=-x^{2} +2x+3$

The vertex is the point $(1,4)$ ------> observing the graph

The axis of symmetry is $x=1$

If the graph of this function is shifted downwards and the axis of symmetry remains x=1

then

The x-coordinate of the vertex of the new graph must be equal to 1

The y-coordinate of the vertex of the new graph must be less than 4

The parabola of the new graph open downward

therefore

Verify each case

case a) $y=-x^{2}+2x$

Convert to vertex form

$y=-(x^{2}-2x)$

$y-1=-(x^{2}-2x+1)$

$y-1=-(x-1)^{2}$

$y=-(x-1)^{2}+1$

The vertex is (1,1)

therefore

The function could be the equation of the new graph

case b) $y=-x^{2}-2x+3$

Convert to vertex form

$y-3=-(x^{2}+2x)$

$y-3-1=-(x^{2}+2x+1)$

$y-4=-(x+1)^{2}$

$y=-(x+1)^{2}+4$

The vertex is (-1,4)

therefore

The function cannot be the equation of the new graph

case c) $y=-x^{2}+2x-4$

Convert to vertex form

$y+4=-(x^{2}-2x)$

$y+4-1=-(x^{2}-2x+1)$

$y+3=-(x-1)^{2}$

$y=-(x-1)^{2}-3$

The vertex is (1,-3)

therefore

The function could be the equation of the new graph

case d) $y=-x^{2}+2x+4$

Convert to vertex form

$y-4=-(x^{2}-2x)$

$y-4-1=-(x^{2}-2x+1)$

$y-5=-(x-1)^{2}$

$y=-(x-1)^{2}+5$

The vertex is (1,5)

therefore

The function cannot be the equation of the new graph

case e) $y=-x^{2}+2x-3$

Convert to vertex form

$y+3=-(x^{2}-2x)$

$y+3-1=-(x^{2}-2x+1)$

$y+2=-(x-1)^{2}$

$y=-(x-1)^{2}-2$

The vertex is (1,-2)

therefore

The function could be the equation of the new graph

8 0

3 years ago

What is the slope of a line through the points (-3 , 5 ) and ( 1 , -7 ) ?

Tom [10]

Answer:

B. -3

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers