15 points!!! Please help with math

Answer:

  (a)  (2x +7), (x -4)

  (b)  (-7/2, 0), (4, 0)

Step-by-step explanation:

When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.

Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:

  -56 = -56(1) = -28(2) = -14(4) = -8(7)

Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.

At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.

  2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x

  (2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms

  2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms

  (2x +7)(x -4) = 0 . . . . . . . . . the factored equation

The factors of this equation are (2x +7) and (x -4).

__

The x-intercepts are the values of x that make the factors zero.

  2x +7 = 0 . . . looking for x that makes the first factor zero

  2x = -7 . . . . . subtract 7

  x = -7/2 . . . . divide by the coefficient of x

__

  x -4 = 0 . . . . looking for x that makes the second factor zero

  x = 4 . . . . . . add 4

The x-intercepts are x = -7/2 and x = 4.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3. Given this quadratic equation, 2x²-x-28= 0.

(a) List the factors of this equation.

(b) Determine the x-intercepts

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

(a) (x-4) and (2x+7)

(b) x=4 and x=-7/2

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning

Answer:

9/20

Step-by-step explanation:

5×9=45

5×20=100

we need to convert it in lowest term by dividing it..

Answer: put 14

Step-by-step explanation:

Answer:

T=Q

Step-by-step explanation:

They are in te same position on the comparison

Answer:

Hence y = (5k -3)/ (1 - k)

.... shown

Answer:

Step-by-step explanation:

So the Yardley people got a raise! Hurray! They make ALL that they made before and a little bit more.

Let x = original pay

100% of x is what they made before.

25% of x is the amount of raise they got.

100% of x should be written 1x, or just x (convert the % to a decimal)

25% of x should be written .25x

So a math sentence that says their original pay plus their raise is now $35 would be written

1x + .25x = 35

Combine the x terms.

1.25x = 35 Now divide both sides by 1.25 to get the x all by itself.

1.25x/1.25 = 35/1.25

x = 28 Remember what x stood for? x is the original pay. The mechanics used to make $28 per hour.

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

Answer:

that means its 8 * 8 = 64

There are 64 ppl

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

Answer:

327.21 euros.

Step-by-step explanation:

The answer is 34.54 cm

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

Learn more about circumference of a circle here:

https://brainly.com/question/14200825

#SPJ1

Answer:

4.

Step-by-step explanation:

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.

The greatest factor of 80 is

We have to determine, the greatest possible factor out of the square root of 80.

According to the question

The square root of the greatest perfect square from the list of all factors of 80.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

The greatest perfect square on this list is 16 and the square root of 16 is 4.

To determine the greatest square root of 80 following all the steps given below.

The square root of 80,

[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]

Hence, The greatest factor of 80 is 4.

For more details refer to the link given below.

https://brainly.com/question/20354909

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

the basic property is: AB/AD=BC/CD, for more info see the attachment.

Answer:

A is correct:  12r5

Step-by-step explanation:

7 divides into 89 12 times with a remainder of 5.  Answer A is correct:  12r5

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2

Answer:

y = 3x

Step-by-step explanation:

Let's select two points from the given graph.

(1,3) (3,9)

Now, let's use slope formula to find the slope.

m = y2-y1/x2-x1

= 9-3/3-1

= 6/2

= 3

Let's substitute/plug this value into the slope-intercept form.

y = 3x + b

We can see that the y-intercept is 0, from the graph.

b = 0

Therefore,

y = 3x

EXPLAIN:

Ex:  the line is:  y = ax + b

The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )

So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]

The line: y = x - 5 = (1)x + (-5)

ANSWER: y = (1)x + (-5)

ok done. Thank to me :>

Answer:

2 units up and 4 units to the right.

Step-by-step explanation:

It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].

The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69.5 - 65}{2.5}[/tex]

[tex]Z = 1.8[/tex]

[tex]Z = 1.8[/tex] has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at https://brainly.com/question/24663213

x equals 1.5 because it needs to be multplied by 2

Answer:66 slower speed

Step-by-step explanation:

Answer:

country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5

why  you take my profile picture  hello.....

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

the actual solution to the system of equations is (-(64/27),(56/9)).

however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!