Answer:
f(x)=x^2+8
Step-by-step explanation:
To move a function upwards, you need to shift the function up the y axis. The function intersects the y axis at 3, so you need to add 5 to 3 to shift the graph up 5 units. I hope this helps you!
Find the inequality represented by the graph.
Answer:
Step-by-step explanation:
y intercept is 3
y - 4 = 3 ( x - 4)
y - 4 = 3x - 12
y < 3x - 8
not equal to because the line is dashed.
not greater than because the shading is below the line
does anyone know the answer.
What is the inverse of the following statement?
If ∆ABC is equilateral, then it is isosceles.
A. If ∆ABC is not equilateral, then it is not isosceles.
B. If ∆ABC is isosceles, then it is equilateral.
C. If ∆ABC is equilateral, then it is isosceles.
D. If ∆ABC is not isosceles, then it is not equilateral.
Answer:
it's A.
Step-by-step explanation:
eqilateral means allsides equal while isosceles means two sides are equal.
Answer:
A
Step-by-step explanation:
The quotient of the complex # below (7-2i)/(4 +3i)
Answer:
Step-by-step explanation:
hello :
(7-2i)/(4 +3i)
=(7-2i)×(4-3i)/(4 +3i)×(4-3i)
but : (7-2i)×(4-3i) =28-21i-8i+6i²
(7-2i)×(4-3i) = 22-29i ....i² = -1
(4 +3i)×(4-3i) = 4²-(3i)²...(identity)
= 16+9 =25
so :
(7-2i)×(4-3i)/(4 +3i)×(4-3i)
=(22-29i)/25
(7-2i)/(4 +3i) = 22/25 -29/25i
(form : a+ib)
To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.
Explanation:To divide complex numbers, we need to multiply the numerator and denominator by the conjugate of the denominator. The conjugate of 4 + 3i is 4 - 3i. So, we have ((7 - 2i) * (4 - 3i)) / ((4 + 3i) * (4 - 3i)).
Multiplying the numerators and the denominators, we get (28 - 21i - 8i + 6i^2) / (16 - 12i + 12i - 9i^2).
This simplifies to (28 - 29i - 6) / (16 + 9).
Finally, dividing the real parts and the imaginary parts separately, the quotient is:
Quotient = (22 - 29i) / 25
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Help meee I just need two topics done
x > –5
Solution:
Given expression is –5 < 2x + 5.
Step 1: Let us first switch the sides.
⇒ 2x + 5 > –5
Step 2: Subtract 5 from both side of the inequality.
⇒ 2x + 5 –5 > –5 –5
⇒ 2x > –10
Step 3: Divide by 2 on both sides of the inequality.
[tex]$\Rightarrow\frac{2x}{2} >\frac{-10}{2}[/tex]
⇒ x > –5
Step 4: That is the values of x are greater than –5.
Hence x > –5.
negative 5 and 3/4 multiplied by 8/23
Answer:
[tex] - 5 \frac{3}{4} \times \frac{8}{23} = - \frac{23}{4} \times \frac{8}{23} = - 2[/tex]
calculate the number in the middle of 15 and 24
Final answer:
To find the number in the middle of 15 and 24, you calculate the mean, which is (15 + 24)/2, resulting in 19.5.
Explanation:
How to Calculate the Number in the Middle of 15 and 24
To calculate the number in the middle of two values, we are essentially seeking the mean or average of those two numbers. This can be done by adding the two numbers together and then dividing by the number of values, which is 2 in this case. Thus, the calculation would be (15 + 24)/2.
Let's do the math: (15 + 24)/2 = 39/2 = 19.5.
Therefore, the number in the middle of 15 and 24 is 19.5.
find the error in lin’s solution.
Evaluate 6(x+2)=6x+12
Answer:
12=12 Many Solutions
Step-by-step explanation:
6(x+2)=6x+12
6x+12=6x+12
-6x -6x
12=12
*MANY SOLUTION
*THERE IS A SOLUTION
Sara worked 40 hours per week
Look at the figure below.
66) In figure ABCD shown, which of the following statements
are true?
A) AD intersects BC
B) BA is parallel to CD
C) BA is a diagonal of ABCD
D) BA is perpendicular to AD
Multiply the polynomials: (2x^2 + 6x + 6)(3x -2)?
Answer:
[tex]6x^{3} +14x^{2} +6x-12[/tex]
Step-by-step explanation:
distribute
Which equations have the same value of x as StartFraction 5 over 6 EndFraction x + two-thirds = negative 9? Select three options.
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)
5 x + 4 = negative 54
5 x + 4 = negative 9
5 x = negative 13
5 x = negative 58
Answer:
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)
5 x + 4 = negative 54
5 x = negative 58
Step-by-step explanation:
we have
[tex]\frac{5}{6}x+\frac{2}{3}=-9[/tex]
solve for x
Multiply by 6 both sides
[tex]6(\frac{5}{6}x+\frac{2}{3})=6(-9)[/tex]
[tex]5x+4=-54[/tex]
subtract 4 both sides
[tex]5x=-54-4\\5x=-58[/tex]
divide by 5 both sides
[tex]x=-\frac{58}{5}[/tex]
Answer:
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)
5 x + 4 = negative 54
5 x = negative 58
Step-by-step explanation:
in a right angle,the altitude to a 6ft hypotenuse.Find the length of the altitude and each leg.
Answer:a=3.6 and b=4.8
Step-by-step explanation:(a^2)+(b^2)=(c^2)
Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.
To check work simply plug in your legs as a and b
(3.6^2)+(4.8^2)=(6^2)
(12.96)+(23.04)=(36)
How many inches are in 43 yards
Answer:
1548
Step-by-step explanation:
Their are 36 inches in a yard multiply by 43 it’s 1548
x + y = 3
3x + 2y = 14
The solution is x = 8 and y = -5
Solution:
Given system of equations are:
x + y = 3 ------ eqn 1
3x + 2y = 14 ------ eqn 2
We have to find the solution to the equations
We can use substitution method to solve
From eqn 1,
x + y = 3
Isolate for "x"
x = 3 - y ------ eqn 3
Substitute eqn 3 in eqn 2
3(3 - y) + 2y = 14
9 - 3y + 2y = 14
-y = 14 - 9
-y = 5
y = -5Substitute y = -5 in eqn 3
x = 3 - (-5)
x = 3 + 5 = 8
x = 8Thus the solution is x = 8 and y = -5
if you have 108 inches of wood to make a picture fram what is the greatest area if a = -w2 + 54w
Answer:
The greatest area possible is 729[tex]inch^{2}[/tex]
Step-by-step explanation:
i) If a = [tex]-w^{2} + 54w[/tex] where w is the width of the picture frame
differentiating on both sides we get
[tex]\frac{da}{dw} = -2w + 54[/tex]
Differentiating the above again on both sides we get [tex]\frac{d^2a}{dw^2}[/tex] = -2
Since the second order derivative is negative then we can get the solution for the maximum area by equating the fist order derivative equation to 0.
Therefore -2w + 54 = 0 therefore w = 27.
ii) If we substitute w = 27 into the equation in ii) we get
a = [tex]-(27)^2 +(54\times 27)[/tex] = (54 - 27) [tex]\times[/tex](27) = [tex]27^{2}[/tex] = 729
Mrs. Pythagoras compares the distance traveled by three of her students. • Jason's distance travelled is given by the equation d =m, where, the total distance d traveled is given in m minutes. • Susan traveled(3 miles in 5 minutes.) The graph below represents the distance Mickey traveled.
please help me answer this math question
The student with the lowest unit rate is Mickey, with a unit rate of 0.3 miles per minute.
What is the relation of speed and distance?
Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance / time.
We are given that;
Equation d=m
Susan distance travelled=3 miles in 5 minutes
Now,
To find the unit rate, we need to divide the distance traveled by the time taken. Let's start by calculating the unit rate for each student:
Jason: The equation given for Jason's distance traveled is d = m, where d is the distance traveled in m minutes. Therefore, his unit rate is 1 mile per minute.
Susan: She traveled 3 miles in 5 minutes. To find her unit rate, we divide 3 miles by 5 minutes:
Unit rate = 3 miles / 5 minutes = 0.6 miles per minute
Mickey: The points on Mickey's distance vs time graph are (20,6), (40,12), and (60,18). We can use these points to calculate the unit rate for Mickey.
Between the points (20,6) and (40,12), the distance traveled is 12 - 6 = 6 miles, and the time taken is 40 - 20 = 20 minutes. Therefore, the unit rate is:
Unit rate = 6 miles / 20 minutes = 0.3 miles per minute
Between the points (40,12) and (60,18), the distance traveled is 18 - 12 = 6 miles, and the time taken is 60 - 40 = 20 minutes. Therefore, the unit rate is:
Unit rate = 6 miles / 20 minutes = 0.3 miles per minute.
Therefore, by distance given the answer will be 0.3 miles per minute.
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blairs new computer cost 5$ less than twice the cost og her old computer. Her new computer cost 709$. how much did blairs old computer cost?
i need help asap! i will mark brainliest answer and i will give 5 stars for the answer! thank you :)
The cost of old computer is $ 357
Solution:
Let "x" be the cost of old computer
From given,
Cost of new computer = $ 709
Blairs new computer cost 5$ less than twice the cost of her old computer
Therefore,
Cost of new computer = twice the cost of old computer - 5
Cost of new computer = 2x - 5
709 = 2x - 5
2x = 709 + 5
2x = 714
Divide both sides by 2
x = 357
Thus the cost of old computer is $ 357
Answer:
$357
Step-by-step explanation:
709=2x-5
+5 +5
cross the right column out
709+5 = 714
714=2x
divide 714 by 2 and get 357
HOPE THIS HELPS!!!
Answers to questions
could you please name the place value to which each number was rounded
Answer:
QUESTION NOT CLEARLY STATED
Step-by-step explanation:
Sarah answered 24 questions on her test correctly and earned an 80%. How many questions were on the test?
Answer:
43 questions in total
Step-by-step explanation:
the original equation with the unknown (total number of questions on the test) will look like this
[tex] \frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions} = 80\%[/tex]
we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)
now you rearrange.
you need to move the 24 to get the total on it's own here's how you do it
[tex] \frac{tot \: num \: of \: qs}{24} \times 24 = 80\% \times 24[/tex]
what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write
got mum of Q's x 1= 80 x 24
now you convert % to decimal
[tex]80\% \times 100 = 0.80[/tex]
replace
[tex]tot \: num \: qs \: = 24 \times 0.80 = 19[/tex]
now you take the original and + the 19
[tex]24 + 19 = 43[/tex]
therefore there are a total of 43 questions on the exam
To find the total number of questions on the test, we set up a ratio where 24 questions represents 80%. By comparing it to a ratio where X represents 100%, and solving for X, we get the total number of questions.
Explanation:The question pertains to the concept of percentages. In Sarah's case, she answered 24 questions correctly and got an 80%, meaning that these 24 questions represent 80% of the total questions on the test. Hence, to find the total number of questions on the test, we set up a ratio such as this: 24 is to 80 as X (total questions) is to 100. We solve for X by multiplying the cross products and dividing by 80. The result will give us the total number of questions on the test.
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Solve the inequality.
3< -5n+2n
Answer:
n < -1
Step-by-step explanation:
3 < -5n+2n ⇔ 3 < -3n ⇔ -1 > n
How many solutions does this equation have?
9x + 2
3
= 3x + 3
Answer:
Only one solution my boiiii
Answer:
Step-by-step explanation:
9x + 23 = 3x + 3
9x - 3x = 3 - 23
6x = -20
x = -20/6
x = - 10/3
x = -3 1/3
3 times 2/3 will be less then,greater then or equal to 3
Answer:
Equal to 3
The drawing will help
Answer: Less than
Step-by-step explanation:
The answer will be 2 causing it to be less than 3
multiply 3*2 and get 6
1*3 and get 3
6/3 = 2
3 tuns into 3/1
Remember: Any whole numbers by itself turns into a fraction when multiply fractions and a whole number. So 3 becomes 3/1
Use the distributive property to write an expression
that is equivalent to 45 + 30x. Please help!! ;0
Answer:
15(3+2x)
Step-by-step explanation:
15 multiplies to both 3 and 2x amd the result is 45+2x
Final answer:
To write an expression equivalent to 45 + 30x using the distributive property, factor out the common factor of 15 to get 15(3 + 2x).
Explanation:
To write an expression equivalent to 45 + 30x using the **distributive property**, we can factor out the common factor. This can be done as follows:
Factor out 15, so 45 + 30x becomes 15(3 + 2x).
Therefore, an expression equivalent to 45 + 30x using the distributive property is 15(3 + 2x).
Find the area of the circle. Use 3.14 for pi
Answer:
C
Step-by-step explanation:
if you multiply 2.3 times pi you get the answer
Answer:
3. A
4. D
Step-by-step explanation:
r : radius
area of a circle = 3.14×r²
3,14×11^2 = 379,94
3,14×(2,3÷2)^2 = 4,15265
I don't think anyone will respond to a good attempt
The answer is gonna be 15
8. How do temperature and
salinity affect seawater density?
Answer:
Step-by-step explanation:
increase density of seawater
A married couple together earn $75,000. The husband earns $15,000 more than five times what his wife earns. What does the wife earn?
Answer:
$12,000
Step-by-step explanation:
Let's say the husband's income was $H, and the Wife's was W.
h + w = 75,000
H = 5w + 15, 000
Substitute that for H.
5w + 15,000 + w = 75,000
6w + 15,000 = 75,000
6w=60,000
w=12,000, So the wife earned $12,000.
A Girl gets 2,000 gift toward a college education from her grandparents. How much will the 2,000 be worth in 17 years if it is invested at 7% and compounded quarterly
Answer:
yes
Step-by-step explanation: