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

Why is 10^5/10^4 equal to 10^11? Explain or show your thinking

Answers

Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation:

Help please !! need it adap

Answers

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER

Answers

Answer:

C (0,-2)

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.

As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading

Note that this equation is linear since all of the terms in  

x and y are of degree at most  1.

A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.

Answers

Answer:

1075 ft

Step-by-step explanation:

25*35 = 875

8*25 = 200

875+200 = 1075

What is the value of the expression below when a = 5?

​ 7a - 4

Answers

Answer:

31

Step-by-step explanation:

the answer above is correct 31

SECONDARY MATH III // MODULE 5

MODELING WITH GEOMETRY - 5.5

Answers

Answer:

Its Spring break pls relax

Step-by-step explanation:

Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower

Answers

I think is would be -3.4

What’s the answer and work to this? Someone please tell me

Answers

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]

Answers

Answer:

10.77 is correct answer

use x1=-5 ,x2=5

y1=4 y2=8

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.

From this, we can deduce that

hypotenuse=2*2=4, and

long= [tex]2\sqrt{3}[/tex]

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

please help! Thank you :) also don't spam for points I know a moderator

Answers

Answer:

1) True

2) False

3) True

4) True

5) False

The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X

45

48

42

47

43

Mean=





Standard Deviation =

Answers

Answer:

huh what do you mean

Step-by-step explanation:

im really sorry

Helppppp!!!!!!!!! Plz

Answers

The answer is 22. You would subtract 3.5 from both sides, then x=22z

3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)


4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)

Answers

Answer:

FFFFFFFFFFFFFFFFFFFFFFFF

Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)

Answers

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

PLSSSSSSSSSSS HELP ASAPPP​

Answers

Answer:

C

Step-by-step explanation:

400*.035 = 14 *2 = 28

250*.0325 = 8.125 *2 = 16.25

28 + 16.25  = 44.24

44.25+650 = 694.25

As part of a spring clearance, Macy’s put dress shirts on sale, 2 for $25.98. Assuming this discount applies even if we buy an odd number of dress shirts, how much will five shirts cost?

Answers

Answer:

The answer would be $64.95

Step-by-step explanation:

Divide $25.98 by 2 and you'd get $12.99 as an answer.

Now multiply $25.98 by 2 and then add $12.99 to your answer.

Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10

Answers

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

What is the volume of the figure? ​

Answers

The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed

solve for the missing side and round to the nearest tenths place

Answers

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.

Answers

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

Learn more about perimeter of rectangle click :

brainly.com/question/15725265

#SPJ3

Complete question;

Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​

Answers

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?

Answers

Answer:

2 1/3

Step-by-step explanation:

I dont understand help me

Answers

Answer:

can you help me with chemistry? ill help with this if u help with my chemistry

Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

Circumference=25.13 Area=50.27

Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder © Sphere​

Answers

Answer:

Cylinder

Step-by-step explanation:

A cone is a 3D triangle with a circular base, and a sphere is a 3D circle

Answer:

CYLIDER

Step-by-step explanation:

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