Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =
The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1
How to evaluate the piecewise function f(x) for the input valuesFrom the question, we have the following parameters that can be used in our computation:
The graph of a function and a set of input values
The input values are given as
–2, 0, and 4
Next, we read the above input values from the graph
Using the above as a guide, we have the following:
f(-2) = 2
f(0) = 3
f(4) = -1
Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1
Read more about functions at
brainly.com/question/28277110
#SPJ1
Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class
Answer:
5
Step-by-step explanation:
he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class
Answer:
5
Step-by-step explanation:
bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”
Javier writes the equation (10 + two-thirds) a = 50, where a is the tree’s age in years. His equation is not correct. What error did he make?
Answer:
Javier's equation is not correct because the variable "a" should be multiplied by only and then added to
Step-by-step explanation:
Let
a------>is the tree’s age in years
we have that
-------> Javier's equation
we know that
The equation that represent the situation is equal to
Solve for a
Multiply by both sides
Javier's equation is not correct because the variable "a" should be multiplied by only and then added to
x2 - 4x + y2 - 21 = 0 The equation in standard form is
HELLPPPP WILL GIVE BRAINLIEST
Answer:
I hope it works for u
Step-by-step explanation:
Variability of grades in Week 1 is the length of Bar which is approximately equal to 17,if u want for week 2 than its
Variability of grades in Week 2 is the length of Bar which is approximately equal to 10.Please Brain-list if its help-full
24 + 7 and 9 * ( 24 + 7 )
Answer:
1. 31
2. 279
Step-by-step explanation:
1. simple addition
2. simple multiplication
elliot is moving a table through a doorway. The table is 2 5/8 ft wide and the doorway is 2 3/4 ft wide.
Answer:
Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.
Step-by-step explanation:
2 3/4 - 2 5/8 = 0.125
0.125 is a positive number.
So, Elliot is able to move the table through the doorway.
Please mark as Brainliest!!!How do you turn 8x-4y=20 into slope intercept form?
Please show me the steps
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
We need to leave y-term as the subject of equation.
[tex] - 4y = 20 - 8x[/tex]
Move 8x to subtract.
[tex]y = \frac{20 - 8x}{ - 4} [/tex]
Pull the negative out of 4.
[tex]y = - \frac{20 + 8x}{4} [/tex]
Simplify
[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]
Swap x-term and constant.
[tex]y = 2x - 5[/tex]
Solve the inequality. Graph the solution.
p-4<2
help plz
Answer:
the inequality would be p<6
the graph is below.
Step-by-step explanation:
Here's how to solve the equation:
p-4<2
add 4 to both sides
p<6
The English translation of the inequality would be "p is less than 6".
please see below for the graph.
Hope this helps! :)
Sally made 17 bundles of 10 straws. How many straws did she made in all?
Answer:
170 straws
Step-by-step explanation:
10x17 is 170, so she made 170 straws
Answer:
The answer is 70 because 17x10=170
Help plsss I have 10 minutes!!!!20 points!!!!
Answer:
its d
Step-by-step explanation:
ons: Practice
Question 5 of 5
Type the correct answer in the box. Use numerals instead
What value of x makes this equation true?
X/6 - 7 = -4
Answer:
[tex]x = 18[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{6} - 7 = -4[/tex]
Required
Solve for x
[tex]\frac{x}{6} - 7 = -4[/tex]
Add 7 to both sides
[tex]\frac{x}{6} - 7+7 = -4+7[/tex]
[tex]\frac{x}{6} = -4+7[/tex]
[tex]\frac{x}{6} = 3[/tex]
Multiply through by 6
[tex]6 * \frac{x}{6} = 3 * 6[/tex]
[tex]x = 3 * 6[/tex]
[tex]x = 18[/tex]
Write an algebraic expression for the phrase 6 times Z
Answer:
6z
Step-by-step explanation:
divide 4,052 divided by 61
Answer:
R u that lazy to not type it in a calculator
Step-by-step explanation:
But it is 66.4262295082
Pls make me buy brainiest
r/15≥-3 solve the inequality
Answer:
r≥-45
Step-by-step explanation:
r/15≥-3
Multiply each side by 15
r/15 * 15 ≥-3*15
r≥-45
Which is the fraction for 0.21?
Answer:
21/100
Step-by-step explanation:
1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
o
$8.19
$5.45
$819.25
$0.81
Answer: $8.19
Step-by-step explanation: Times 565 by 1.45% and that's what you get.
Answer:
The answer is $8.19
Step-by-step explanation:
c+6<-20 solve the inequality
Answer:
c < -26
Step-by-step explanation:
c+6<-20
Subtract 6 from each side
c+6-6<-20-6
c < -26
Step-by-step explanation:
c+6<-20
c < -20-6
c < -26
or
c ∈ 《-∞ ,-26》
Write 6 wholes and 2 tenths as a decimal.
Answer: 6.2
Step-by-step explanation:
A whole number is behind the decimal point.
The tenth is right in front of the decimal point.
An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?
Answer:
[tex]150[/tex] potatoes
Step-by-step explanation:
Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!
snog used unitary method to find the answer.
ALITER:-
Given,
Potatoes peeled in 6 minutes = 18
Let, potatoes cooked in 50 minutes = k
Here, more the time passes, the more the assistant peels potatoes.
∴ It is a case of direct variation,
where,
x/y = k (constant)
So, 18/6 = k/50 (potatoes peeled/time)
⇒ k = 3 × 50 = 150 (answer).
Suppose the heights (in inches) of adult males in the United States are normally distributed with a mean
of 71 inches and a standard deviation of 3 inches.
Find the percent of men who are no more than 65 inches tall.
The percent of men who are 65 inches tall or below is
%.
42 3/19 times 513 3/6
Answer:
21648
3
38
Step-by-step explanation:
(42
3
19
)(513
3
6
)
=
801
19
(513
3
6
)
=
801
19
(513
1
2
)
=
801
19
(10272)
=
822627
38
=21648
3
38
A rectangle is made up of green and red tiles. the ratio of green tiles to red tiles is 3:4. Which of the following could be the number of green tiles in the rectangle?
Answer:
H) 24
Step-by-step explanation:
24 is the only number that is divisible by 3.
CHECK:
3 x 8 : 4 x 8
24:32✔
(You can try dividing '3' by the other numbers to also check your answer)
Hope this helped ^^
Simplify.
√64x12
Assume that the variable x represents a positive real number.
I
Х
$
?.
Answer:
[tex]=32 \sqrt{3x[/tex]
Step-by-step explanation:
Given that:
[tex]Simplify \ \sqrt{(64x)(12)}[/tex]
[tex]When \ simplifying \ radicals, we \ split \ them \ up by \ their \ factors[/tex]
i.e.
[tex]=\sqrt{64} \ * \sqrt{12} \ * \sqrt{x}[/tex]
[tex]=8 \ * 4\sqrt{3} \ * \sqrt{x}[/tex]
[tex]=32 \sqrt{3x[/tex]
Anna planted 90 bulbs in 60 minutes minutes. At this rate, how many bulbs can Anna plant in 2.5 hours?
90
150
225
250
Answer: 225
Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225
Which statements are true? Select each correct answer.
A −2 is farther from zero on the number line than −1 , so |−2|>|−1| .
B The absolute value of −2 is positive.
C The absolute value of −2 is less than the absolute value of 2.
D Since −2 is 2 units to the left of 0, |−2|=−2 .
Answer:
A and B
Step-by-step explanation:
Solve the equation by graphing. - x2 = 8x + 20
Answer: No real solutions.
Step-by-step explanation: −x2=8x+20
Step 1: Subtract8x+20 from both sides.
−x2−(8x+20)=8x+20−(8x+20)
−x2−8x−20=0
For this equation: a=-1, b=-8, c=-20
−1x2+−8x+−20=0
Step 2: Use quadratic formula with a=-1, b=-8, c=-20
what is the difference between the LCM and the hcf of 24,36 and 40
Answer:HELLO!
Step-by-step explanation:
Hii friend,
Prime factorisation of 24 = 2 × 2 × 3 × 2
Prime factorisation of 36 = 2×2 × 3 × 3
Prime factorisation of 40 = 2 × 2 × 2× 5
HCF of 24 , 36 and 40 = 2 × 2 = 4
LCM of 24 , 36 and 40 = 2 × 2 ×2 × 3 × 3 × 5 = 360
How many solutions does the system of equations have?
x - 4y = 12 and 58 - 201 = 60
one
tuo
infinitely many
none
Answer:
infinitelyyyy, so the third one :)
Desiree writes songs for her band. her first song is 3 1/2 minutes long. Her second song is 1 1/2 times as long as her first song. her third song is 2/3 times as long as her second song. How many minutes long are the second and third songs?