ommon Unit Assessment (MC) I 4 of 12
Christopher determines the system of s(x) and (x) has only one solution. Which system is Christopher solving?
A
X +3
s(x) =
X-5
+1 and t(x) = x +3 +2
ОВ.
s(x) = x2
and t(x) = In(x +7)+4
C. s(x) = 2x42 -5 and t(x) = -x +31+2
OD. $(x) = (x +3 -1 and t(x) = 2x - 5

Answers

Answer 1

Answer:

D

Step-by-step explanation:

I had the same question and I got this right

Answer 2

Christopher is solving a system of equations that has one solution and can be seen in Option C.

What is a system of equations?

A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is the second-order degree algebraic expression in a variable.

s(x) = 2x42 -5 and t(x) = -x +31+2

However, if their power is not in one degree, the quadratic equation produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;

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Related Questions

What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers

Answers

Answer:

Domain = x > 2 , Range = {R}

Step-by-step explanation:

The given function to us is ,

[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .

What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

all triangles have a sum of 180 degrees. so 115+35=150

180-150= 30

Pls answer quick if you don’t mind.

Answers

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle

Answers

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5

Answers

Answer= x=100

4/6 = x/150

So you will want to use the cross strategy

6x = 150(4)
6x = 600
6x ÷ 6 = 600 ÷6
x =100



If y = -2x + 3, find y when x = -3

Answers

Y= -2(-3) + 3

-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral means all sides are equal.

Answers

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

x = 6

Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)

Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.

Answers

Answer:

Number of hours= 20 hours

Step-by-step explanation:

Giving the following information:

Net savings (babysitting)= 250 - 110= $140

Rate per hour= $7

To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:

Number of hours= net savings / rate per hour

Number of hours= 140 / 7

Number of hours= 20 hours

Simplify the expression.
ab4c7
a3bc5
b[?]
Ic
al

Answers

Answer:

b^3c^2/a^3

Step-by-step explanation:

Answer:

[tex]\frac{b^{3}c^{2} }{a^{2} }[/tex]

Step-by-step explanation:

If I could have help with this that would be great :) i’ve been working on it for about an hour.

Answers

A. $58.50
B. $72.80
C. No

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

I need help can some one help me

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you have to see what leangth matches

Help Me. Four cards are placed into a bag and two are drawn, 1 at at time, without putting the first card back into the bag. The four cards are 2, 3, 5, and 7. What is the probability of pulling a 3 and then pulling a 7?

Answers

Answer:

Step-by-step explanation:

Evaluate the expression. 3.14(7)² =

Answers

Answer:153.86

Step-by-step explanation:

probability help , not understanding

Answers

Answer:

70%

Step-by-step explanation:

Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=

Answers

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

A home was sold in 2010 for $250,000. Its value
depreciated by 3.4% yearly. What is the value of the
house in 2012?

Answers

Depreciation formula: starting value x (1-rate)^time

250,000(1-0.034)^2 years

250000(0.996)^2= $233,289

The answer is $233,289

Answer:

$233,289

Step-by-step explanation:

250000 *.034=8500

250000-8500=241,500

repeat

Find the area of the figure.

Answers

Answer:

23.04

Step-by-step explanation:

A = a^2

A = 4.8^2

A = 23.04

Have a lovely day! <3

exact what the other person said

What is the equation of the line that passes through the point (5, -7) and has a
slope of o?

Answers

Answer:

y = -7

Step-by-step explanation:

To find the y-intercept, you need to plug the coordinates into the equation.

y = 0x + b

-7 = 0(5) + b

-7 = b  

Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party. She determines that the paper goods will cost 37.50 . How many sets of cutlery can she purchase if each set costs 0.75? (She cannot buy a partial set of cutlery.)

Answers

She can buy 36 sets of cutlery because first you subtract 37.50 from 65 then divide the difference by 0.75.

Janet can buy 36 sets of cutlery.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party

the paper goods will cost 37.50

We need to find the difference of 65 dollars and 37.50 to determine the amount left to purchase cutlery

65-37.5

27.5

As by given, each cutlery set costs 0.75.

We need to divide 27.5 by 0.75 to find number of cutlery sets

27.5/0.75=36.6

Hence, Janet can buy 36 sets of cutlery.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A bakery sells cupcakes for $4.45. They have a special sale on St. Patrick's Day and all cupcakes are 42% off. How much would you pay for a cupcake? Show your work.

remember,show your work

want a brainlist and a thanks:
1-answer the question correctly
2-explain it correctly
3-make sure the explanation is understandable

Answers

42 % = number x 0.42
4.45 x 0.42 = 1.87
4.45 - 1.87 = 2.58 per cake

Answer:

$2.58

Step-by-step explanation:

4.45*0.42 = 1.87

4.45 - 1.87 = 2.58

When you multiply things under 0, but still positive, you get the percentage,

for example 0.42 is 42 percent, 0.50 is 50%, and 0.15 is 15%. Which is why you multiply 0.42 by 4.45, you get 1.87.

4.45 minus 1.87 because,

You have 42% of 4.45, but you need to take 42% off.

Please I need help on this problem this assignment due tomorrow!!!!!!! be brainliest if help me

Answers

Answer:

don't click that guy's link it's a virus

I'm pretty sure the answer if 50% chance

Step-by-step explanation:

I just combined the probabilities because it's for both lights

hope it helps <3

HELPPPP HELPPP IM GOING TO FAILLL

Answers

Answer: A is the answer

Step-by-step explanation:

ANSWER: y = (4/3)x + 4

The slope of the line is 4/3 and it crosses the y-axis at 4

What does this mean?

Answers

Answer:

Plug in -3 as x

Step-by-step explanation:

f= -4(-3)+1

How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above

Answers

Answer:

C Divide.

Explanation: I think it’s C because normally in tables you divide the numbers by what they are divisible by. If you end up with the same result for all of them then it’s proportionate. Like this one shown below. I hope this helps.

A student claims that the function ƒ(x) = 6x4 + 4x2 – 3 is an even function. Is the student correct?

Answers

Answer:

yes he is

Step-by-step explanation:

Yes he is correct
Hope this helps

David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2

Answers

Answer:

Step-by-step explanation:

A

what is the average of these numbers
3, 5, 6

Answers

Answer:

4.66666666667.

Step-by-step explanation:

3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.

June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?

Answers

x:2=24.3
x=24.3 • 2
x=48.6
Answer is 48.6

if the cost 6 books is Rs.720. find the cost of 9 books.​

Answers

Answer: 1080

Explanation:
720 divided by 6= 120
120 times 9= 1080

Answer:

Rs.1080

Step-by-step explanation:

1 book=720/6=120

9 books=120*9=1080

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