Answer:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x² + 10
(4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
0 = x2 – 9x + 20 (liked terms are grouped and simplified)
PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Step-by-step explanation:
hope this helps
Answer:
D,E
Step-by-step explanation:
How do you divide a number by a fraction?
For example, how would I go about solving this problem?
:
200.96 ÷ 3/4 =
Detailed answers only please.
There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.
Change the Fraction Into a Decimal
---3/4 = 0.75
So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:
20096 / 75 = ?
---The decimal point was moved two places to the right in order to make the former fraction a whole number.
Multiply by the Reciprocal
---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.
Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:
200.96/1 x 4/3 = ?
Answer: 803.84 / 3 = 267.9467
Hope this helps!
Work out
(
1.8
×
10
−
3
)
÷
(
2
×
10
−
7
)
Give your answer in standard form
Answer:
1.15
Step-by-step explanation:
(1.8*10-3)/(2*10-7)
(18-3)/(20-7)
15/13
1.15
..................
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.
Answer:
50 degrees
Step-by-step explanation:
the attached photo might help
How many solutions does the inequality x>12 have?
Answer:
infinte
Step-by-step explanation:
The answer is anything greater than 12 so it would be infinte
Each ticket to a school dance is $4. The total amount in ticket sales is $332. Write and solve an equation to find the number of students attending the dance.
Answer:
a. 4x = 332
b. 83 students
Step-by-step explanation:
Write equation:
4x = 332
Since we know that each ticket per student is $4, we can use "x" as our variable for the number of students
_________________________________________-
Solve
4x = 332
/4 /4
____________
x = 83 students
Hope this helps :)
Jerry has a new job and earns a
salary of $45,000. Victoria has a new
job and earns a salary of $54,000.
Jerry will receive a salary increase of
$2,500 per year, and Victoria will
receive a salary increase of $1,500
per year.
45.0
54.0
45.0
540
Which equation can be used to find x
the number of years it will take
Jerry to earn the same salarv as
Victoria?
write an expression that has the same value of 5 to the power of 4
Answer:
5x5x5x5
Step-by-step explanation:
The expression that has the same value as [tex]5^4[/tex] is 25² or 625.
What are Exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
The number of times a given integer is multiplied by itself is represented as an exponent.The expression obtained by multiplying a number by itself n times is known as the nth power of the supplied integer.We have [tex]5^4[/tex].
Usually exponents can be expand using the number the power is raised.
As, if we have 9³ then it means 9 is multiplies by itself three times.
So, 9³ = 9 x 9 x 9= 729
Now, we have to expand [tex]5^4[/tex] as
= 5 x 5 x 5 x 5
= 5² x 5²
= 25 x 25
= 25²
= 625
So, the Equivalent value to [tex]5^4[/tex] is 25² or or 5² x 5² or 625.
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Pleas help. 5 Divided by 1/8
[tex]\dfrac{5}{\tfrac 18} = 5 \times \left(\dfrac 18 \right)^{-1}= 5\times 8 = 40[/tex]
Answer:
40
Step-by-step explanation:
[tex] \frac{5}{1} \div \frac{1}{8} [/tex]
[tex] \frac{5}{1} \times \frac{8}{1} [/tex]
[tex]40[/tex]
pls help with math it is due soon
Answer:
x = 25
Step-by-step explanation:
[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]
The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.
(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?
(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.
A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure
What is a quadrilateral?A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.
It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.
Learn more about quadrilateral: https://brainly.com/question/13805601
A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?
Answer:
50 - 4x = 154;
Step-by-step explanation:
50 - 4x = 154
154 - 50 = 104
104 / 4 = 26
x = 26
Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
1
Step by step explanation:
[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]
Answer:
g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\
[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]
Cuánto es 5000000 dividido en 87
porfa con la operación
Answer:
it equals 57,471
Step-by-step explanation:
5000000÷87=57,471
If the scores from an intelligence test are normally distributed, then you would predict that the largest number of people would receive an IQ score of _____ on that test.
Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.
More can be learned about the normal distribution at https://brainly.com/question/24663213
4 1/2 - 1 8/10 please
Answer:
Down below!!
Step-by-step explanation:
Exact Form:
27/10
Decimal Form:
2.7
Mixed Number Form:
2 7/10
Answer:
4 1/2 - 1 8/10 = 2 7/10
Step-by-step explanation:
Step 1 : Start by making the mixed fraction into improper fractions
4 1/2 = 9/2
(For the fraction 1 8/10, make sure to simplify 8/10!)
9/2 - 1 4/5 = 9/2 - 9/5
Step 2: Next find a common denominator for both the improper fractions.
9/2 x 5/5 = 45/10
9/5 x 2/2 = 18/10
45/10 - 18/10 = 27/10
Step 3: Now, make the improper fraction into a mixed number
27/10 = 2 7/10
So this shows us that 4 1/2 - 1 8/10 = 2 7/10! Hope this helps! :D
Say thanks! I just did this because I have 1,633 points (Now 1,533 I think) SOOO first comes first served
Which is the best buy?
Pack of 8 apples for £1.65
Pack of 6 apples for £1.25
Answer:
Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.
Lydia is planning an event for 275 people. She wants to find out the food preferences for the guests, so she surveys 60 guests and discovers that 45 of those guests prefer chicken and 15 prefer fish. What is the sample for the survey?
Answer:
sample size is the number of individuals in the sample and the sample is 60 guests.
Step-by-step explanation:
She wants to find out the food preferences for the guests, so she surveys 60 guests and discover 45 of those guests prefer chicken and 15 prefer fish.
The sample is 60 guests.
NEED HELP: There are approximately 3.1 miles in 5 kilometers. Thaddeus is supposed to ride his bike for 20 kilometers for a charity ride.
Part A: How many meters are in this ride?
Part B: How many miles are in this ride?
If m greater-than-or-equal-to n, which inequalities must be true? check all that apply. m 2.1 greater-than-or-equal-to n 2.1 m - (-4) greater-than-or-equal-to n -(-4) m - 3 greater-than-or-equal-to n 3 16.5 m greater-than-or-equal-to 16.5 n m greater-than-or-equal-to n one-half 6 m greater-than-or-equal-to 9 n
The true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
How to determine the true statements?The inequality is given as:
m > n
When the same constant k is added to both sides of the inequality, we have:
m + k > n + k
This means that the following inequality is true
m + 2.1 > n + 2.1
When the same constant k is subtracted from both sides of the inequality, we have:
m - k > n - k
This means that the following inequality is true
m - (-4) > n - (-4)
Also, if a greater constant is added to m, then the inequality still remains the same.
This means that the following inequality is true
9 + m > 6 + n
Hence, the true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
Read more about inequalities at:
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Answer:
It´s actually A, B, D
Step-by-step explanation:
Multiply. Write your answer as a fraction in the simplest form 3 x 7/12
[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]
Describe the characteristics of this scatterplot.
The characteristics of this scatter plot
D⇢positive O⇢No outliersF⇢LinearS⇢ModerateHence ,this scatter plot has Moderately postive linear relationship without any outliner
Please help I will give brainliest.
Answer:
c = 9
Step-by-step explanation:
You're looking for a number so that when you use that number in place of x, you end up with 20.
f(x) = 3x - 7
f(c) = 3c - 7
20 = 3c - 7
Add 7
27 = 3c
Divide by 3
9 = c
What is the square root of –16?
–8i
–4i
4i
8i
Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
yes this contains bias.
Step-by-step explanation:
the person who wrote the question included their own opinion which makes the question bias
Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.
What is bias?Bias in statistics, is a term defines "the tendency of measurement process".
According to the question,
The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.
In order to find is this survey is biased. Yes, the survey is biased .
Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.
Hence, survey question is bias.
Learn more about bias here
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In the figure below
if right I might mark brainiest. try to solve it if you dare x3+y3+z3=k
Answer:
3(x+z+y)=k
Step-by-step explanation:
How do I solve this I have no idea 9(x-3)*2= 36
Answer:
Your answer is 5
Step-by-step explanation:
Tell me if im wrong
Answer:
0
Step-by-step explanation:
Times -1=0
help PLEASEE! Might post a lot of these sorry
(For some reason it keeps posting the same question multiples times)
Answer:
A = 189 sq units
Step-by-step explanation:
You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:
rectangle: 16 × 8
sm rectangle: 3 × 4
Some sides you have to add to find (the height of the whole entire thing: 16+4+4)
Some lengths you have to subtract to find (height of the triangle: 24 - 10).
Area of a rectangle:
length × width OR
base × height
Area of a triangle:
1/2 • b • h
Add up all three areas. See image.
hard question help!!!!
Answer:
B
Step-by-step explanation: