Orla says that x = 5 is a solution of x² + 3x - 10 = 0 and Fiona says that x = -5 is
a solution of x² + 3x -10=0.

One of the answers is correct. Say which answer is correct and justify your answer

Answers

Answer 1

Answer:

Fiona is correct

Step-by-step explanation:

Substitute x = 5 and x = - 5 into the left side of the equation and if equal to the right side then it is a solution of the equation.

x = 5 : 5² + 3(5) - 10 = 25 + 15 - 10 = 30 ≠ 0 ← not a solution

x = - 5 : ( - 5)² + 3(- 5) - 10 = 25 - 15 - 10 = 0 ← correct

Then Fiona is correct with x = - 5 being the solution


Related Questions

4.3x10^3 in standard notation

Answers

Answer:

4300

Step-by-step explanation:

i think this is what you want

Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link

Answers

Answer:

I think the answer is 103.6

Step-by-step explanation:

divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem

(14)^2 + (24)^2 = /742 = 27.8

27.8x2 + 48 = 103.6

hope that answers your question

Pleeeeeeeaaase answer quick. With explanation. Will give 40 points

Answers

Answer:

See attached

Step-by-step explanation:

Review the picture

Show or explain your answer

Answers

Answer:

This is an exponential function:

A(s) = 2^s, where A- population of alien's, s - number of splits (or hours)

For the alien population become larger than 79942, time required:

2^s > 79942log 2^s > log 79942s > log 79942/ log 2s > 16

17 hours

For the alien population become larger than 330232606, time required:

2^s > 330232606log 2^s > log 330232606s > log 330232606 / log 2s > 28

29 hours

This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?

Answers

Answer:

[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]

Answer:

105

Step-by-step explanation:

its right trust me

but make sure this is the question that you are doing

The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4​

Answers

Answer:

C:  3

Step-by-step explanation:

The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.

I think 4 and don’t click on any links plz and thank you hope this is right and this helps

Please answer number 1 and 2 with ABC or D

Answers

Answer:

1. (a) a+b=86

2. (c) 5.99a+9.99b≤600

Step-by-step explanation:

1.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:

a+b=86

2.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...

5.99a = total cost of 16gb memory sticks

9.99b = total cost of 32gb memory sticks

Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:

5.99a+9.99b≤600

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
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Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister​

Answers

Answer:

120, 60

Step-by-step explanation:

half a century = 60 + 10 x 2 = ted.

she is 60.

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?

(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters

Answers

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

3) A Diplodocus was a 90 ft. long plant-eating dinosaur. The Triceratops was 28 ft. long plant- eating dinsoaur. How many INCHES longer was the Diplodocus than the Triceratops?​

Answers

Answer:

The Diplodocus was 744 in longer than the Triceratops.

Step-by-step explanation:

90 ft = 90 * 12 = 1080 in

28 ft = 28 * 12 = 336

1080 in - 336 in = 744 in

The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.

Which statement is supported by the information in the dot plots?


A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2

Answers

Answer:

A

Step-by-step explanation:

since mean is the most annoying to calculate I went through and did everything else, the range is the same as both charts go 0-6. The median is is the middle number which means store 1 has a higher number of 3' s but our option says store 2 is greater and B is the mode, the number that shows up the most.

what is the difference between
7z
and z to the power of 7

Answers

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?

Answers

Answer:

See Annex

Step-by-step explanation:

The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.

In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :

z(max)  = 11

x₁  = x  = 2

x₂ = y  = 1

THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height of the right endpoint of the kth rectangle?

Answers

f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts the height of the right endpoint of the kth rectangle is mathematically given as

H endpoint = -2+k x5/n. Option A is correct

what is the height of the right endpoint of the kth rectangle?

Generally, the equation for the function is  mathematically given as

f(x) = x^2+4

interval is divided = 5/n

endpoint =k x 5/n

therefore,

H endpoint = -2+k x5/n

In conclusion, the height of the right endpoint of the kth rectangle is

H endpoint = -2+k x5/n

Read more about   rectangle

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HELP ME PLEASEEEEEEEEE

Answers

The Answer Is 1.7 Pounds.

Answer:

1.7 pounds

Step-by-step explanation:

7.9 - 6.2= 1.7

Write as algebraic sum
(a+b)(2b-a)=

Answers

Apply the distributive property.

=a(a−2b)+b(a−2b)

=a2−2ab+ba−2b2

=a2−ab−2b2.

Answer
−a
2
+
2
b
2
+
a
b

Here is the answer

⚠️ PLEASEEEE HELPPPPPP !!!!!

Answers

Answer:

Where is the pic

Step-by-step explanation:

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.

Answers

The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e

I will mark branliest if correct

Answers

Answer:

The answer is: y = - |x+1|+1

Help me please!
Consider the function f(x) = V2x – 4. Iff-'(x) is the inverse function of f(x), find
f-16)

Answers

Answer:

[tex]f^{-1}(6) = 50[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{2x} - 4[/tex]

Required

Find [tex]f^{-1}(6)[/tex]

First, we calculate the inverse function

[tex]f(x) = \sqrt{2x} - 4[/tex]

Express f(x) as y

[tex]y = \sqrt{2x} - 4[/tex]

Swap the positions of x and y

[tex]x = \sqrt{2y} - 4[/tex]

Solve for y: Add 4 to both sides

[tex]4 + x = \sqrt{2y} - 4+4[/tex]

[tex]4 + x = \sqrt{2y}[/tex]

Square both sides

[tex](4 + x)^2 = 2y[/tex]

Divide both sides by 2

[tex]y = \frac{(4 + x)^2}{2}[/tex]

Express y as an inverse function

[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]

Next, solve for: [tex]f^{-1}(6)[/tex]

Substitute 6 for x

[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{100}{2}[/tex]

[tex]f^{-1}(6) = 50[/tex]

please help me to find this out i really really need help.

The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.

Give your answer correct to 3 significant figures. ​

Answers

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

To know more about the trigonometry

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GIVING 50 POINTS IF YOU ANSWER!!!!

Answers

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Which number line shows the graph of x 11?
OA
+
9
10 11 12 13 14
10 11 12 13 14
+
9 10 11 12 13 14
6 7 8 9
10 11 12 13 14

Answers

Answer:

B

Step-by-step explanation:

X 11 means that x could equal 11. The number is included on the answer. So, the circle on the number line has to be closed/filled in. X could be any number equal to or greater than 11, so the number line has to be shaded to the right. :D

What is the area of the kite 10 12 12 18

Answers

p=2A
q so it’s 18
That is the answe

You have $5. You pay someone $3. You receive a gift of $4.

Answers

You have $6 in the end.

5 - 3 + 4 = 6

There is a group of 8 people ordering pizza. If each person
gets 3 slices and each pizza has 5 slices, how many pizzas
should they order?

Answers

Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers

Answers

9514 1404 393Answer:

  20, 36

Step-by-step explanation:

Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:

  x + y = 56 . . . . . . the sum of the two numbers is 56

  2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22

We can solve this by multiplying the second equation by 2 and adding the first.

  2(2x -y/2) +(x +y) = 2(22) +56

  5x = 100 . . . . . . simplify

  x = 20

  y = 56 -20 = 36

The two numbers are 20 and 36.

E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)

Answers

Answer:

7a+6b+1

...............

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

Combine like termsUse this fact:

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

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