The expression x^2- x + 8.75 factors as (x + 2.5)(x - a) for some positive value "a". What is a?
step by step, please.

Answers

Answer 1

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]


Related Questions

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

The answer to this is (2,5)

Answer:

B: 2,5

Step-by-step explanation:

Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.

Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.

Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.

2(x+1)=3x+5. solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

I need the answer , help me please

Answers

the answer is y=1/5x-1

i'll give brainliest

reflect (-4,4) in the x-axis

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

2 0 IC : 7(x + 8) - 4(x + 10)​

Answers

Answer:

3x+16

Step-by-step explanation:

The sine regression model uses a form that approximates the data as an algebraic representation of the graph.
Choose the sine regression model from the following:
ay=sin(x +c)+d
b. y=mx+
C. y - Ar? +BX+C
d.
-6+ 6²-4ac
2a

Answers

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d  I got a 100 on the test

you get brainliest and points if you help me answer these two questions

Answers

I can’t quite see the question. Mind taking a picture of it closer?

and Mandy takes 3.9 percent of jimmy chocolate jimmy has 5000 pieces of chocolate chocolate how much does jimmy have left

Answers

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

Write 9.26 a.m in a 24-hour time format

Answers

Answer:

09:26

Step-by-step explanation:

solve by addition -8x+2y=14 -4x+y=4​

Answers

Answer:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

No solution

Step-by-step explanation:

Answer:

Im not sure how to solve by addition but if you solve its it is no solution

Step-by-step explanation:

Hope this helps

How to make a triangle and 2 trapezoids out of a triangle

Answers

Answer:

Draw two lines inside the triangle.

Step-by-step explanation:

Like in the Attachment

help!!

Bryant earns $15 in commission for every $150 worth of shoes that he sells. Which equation can be used to find the total commission, C, Bryant will earn if the cost, s, of the shoes he sells is known?

a) c= 1/15s
b) c=1/10s
c) 10s
d) c=15s

Answers

Answer:

b

Step-by-step explanation:

what happens to the graph of y = |x| when the equation changes to y |x-9|?

Answers

Answer: The graph will move 9 spaces to the right.

The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?​

Answers

Step-by-step explanation:

11 + 7 + 6 + 3 = 27

total amount of pizza = 27

Hawaiian pizza = 3

3/27 = 1/9

Determine whether each equation is true or false.

Answers

1.False 2.true 3.false is the answer

Answer:

1. False

2. True

3. False

repersent 3 and 1/3 on a number line​

Answers

Answer:

Step-by-step explanation:

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.

Another way of saying it is:

In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.  

Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.  

Portrayals of Fractions on a Number Line  

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.  

Portions on a Number Line  

By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3

brainliest?

x^2 =1 how many solutions are there

Answers

Answer:

Answer:

x=1 or x=−1

Step-by-step explanation:

I think just 2

Answer:

x=1, x=-1

Step-by-step explanation:

x^2=1

x=sqrt(1)=+-1

Thus, there are 2 solutions: 1 and -1

Can someone please help me?

Answers

9514 1404 393

Answer:

  C.  0.25, 1, 2, 4.75

Step-by-step explanation:

The solutions are the x-values of the points where the curves intersect. There are 4 intersection points to the right of the y-axis. Choice C is the only one with four (4) positive values for x.

Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of apples costs.

Answers

Answer:

$4.02

Step-by-step explanation:

Subtract $5.14 from $25.24.

$25.24-$5.14=20.10

Divide 5 and $20.10

20.10/5= 4.02

so each bag of apples costs $4.02

Mrs. Nesbitt had 97 books in her classroom library she received a grant to expand her classroom library After spending the money she had 213 books what is the percent increase?

Answers

Answer:

219 percent

Step-by-step explanation:

97 goes into 213 two times which is a 200 percent increase which leaves 18 books. 18.5 percent of 97 is about 18 so rounded up it is a 219 percent increase

Which expression is equivalent to 2 (-3x + 5)?
OA. -6x + 5
B. -6x + 10
Ос. 6x — 10
OD. 6x - 5

Answers

Use the distributive property
(2*-3x )+ (5*2)
=-6x+10
Or choice B

Suppose tie structural equations of 3 economies are given as: AD = C +10 C =250 + 0.8Y I0 = 200 Find the equilibrium values of Y and C

Answers

Answer:

Step-by-step explanation:

LMAFOOOOOOOOOOOOOOOOOOOOOO

SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!
what is 11683.94 rounded to the nearest tenth.

Answers

Answer: It's 11683.9

Step-by-step explanation:

Find the equivalent equation

1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45

Answers

Answer:

see below

Step-by-step explanation:

1. 4 + 4w

Take out a 4 from each term.4(1 + w)

2. 18w + 9

Take out a 9 from each term.9(2w + 1)

3. 18 + 6x

Take out a 6 from each term.6(3 + x)

4. 21x + 42

Take out a 21 from each term.21(x + 2)

5. 25x + 45

Take out a 5 from each term.5(5x + 9)

Hope this helps!

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.

Hope this helps! :)

Which graph below has an vertical shift of 2
A) y=sin(x-2)
B) y=sin(x)+2
C) y=sin{ pie(x) }
D) y=2sin(x)

Answers

Answer:

b. y=sin(x)+2

Step-by-step explanation:

A vertical shift moves the graph up and down on the y axis. In order to move the graph up 2 units, 2 must be added to the entirety of sin(x). Vertical shifts always appear last in the equation and are always added or subtracted.

For each ordered pair, determine whether it is a solution to y=6.

Answers

Answer:

yes

no

yes

no

if their is a 6 in the y spot of the coordinate than it is a yes

Find the distance between the points ( – 4,10) and (8,10).

Answers

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7

Answers

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

The diagonals of a rhombus are perpendicular:

MT ⊥ AH

We have the equation for MT:

y = -2x + 3

Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.

Since AH passes through point (4, -5), the equation of the line is:

y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7

Correct choice is D

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