Answer:
There are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14[/tex]
To get the zeros of [tex]f(x)[/tex], set [tex]y[/tex] or [tex]f(x) =0[/tex]
so
[tex]0=x^3-7x^2-2x+14[/tex]
as
[tex]x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)[/tex]
so
[tex]\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0[/tex]
Using the zero factor principle:
[tex]\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
so
[tex]x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0[/tex]
solving
[tex]x-7=0[/tex]
[tex]x=7[/tex][tex]x+\sqrt{2}=0[/tex]
[tex]x=-\sqrt{2}[/tex][tex]x-\sqrt{2}=0[/tex]
[tex]x=\sqrt{2}[/tex]Therefore, there are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if you had not use the coupons
Please help also please explain
Step-by-step explanation:
By AA, the two triangles in the figure are similar.
therefore, 10/15 = x/18
180 = 15x
x = 12
Topic: congruence and similarity
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
what is the decimal form for 3750?
Answer:
.3750
Step-by-step explanation:
sorry if this is wrong. I don't understand
Tyler incorrectly says that the constant term of (x + 4)(x - 4) is zero.
a. What is the correct constant term?
b. What is Tyler's mistake? Explain your reasoning.
Answer:
a. -16 is the constant
b.if you expand the equation it would be x^2-16, and the constant is -16
Solving the expression (x + 4)(x - 4) ; the constant term in the expression is - 16 and not 0
To solve, we need to expand the expression : (x+4)(x-4)
Expanding the expression :
(x + 4)(x - 4)
Opening the bracket :
x² - 4x + 4x - 16
x² - 16
The constant term in the expression, is - 16 as it is the value without a variable.
Therefore, Tyler's mistake is incorrectly stating that the constant value is 0 instead of - 16
Learn more :https://brainly.com/question/18109354
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
please help a polynomial of degree 4 has 3-2i and 1+i as zeros. Are there any x-intercepts? Explain why?
Answer:
Answer:I can't read or see it
Step-by-step eAnswer:I can't read or see itxplanation:
- A rectangular pool has an area of 140 square feet. If the length of the
pool is 16 feet, what is its width?
Answer:
8.75 feet
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
Answer:
8.75 ft
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
16+x/13=18 What Is the Steps
Answer:
x=26
Step-by-step explanation:
Simplify both sides of the equation.
16+
x
13
=18
16+
1
13
x=18
1
13
x+16=18
Step 2: Subtract 16 from both sides.
1
13
x+16−16=18−16
1
13
x=2
Step 3: Multiply both sides by 13.
13*(
1
13
x)=(13)*(2)
x=26
Consider 8x2 - 48x = -104.
Answer:
2.5
Step-by-step explanation:
plz mark brainliest
Answer:
a=1: x2 + -6 x=-13
Step-by-step explanation:
Complete the square:
x2 – 6x + 9 =–13 + 9
Factor the trinomial and simplify:
(x + -3 )²= -4
Use the square root property of equality to solve
(x – 3)2 = –4.
The solutions are
3 ± 2i
Which inequality represents the range of the relation graphed below?
Answer: I think it’s d
Step-by-step explanation:
Find each percent increase. Round to the nearest percent.
From 5 miles to 16 miles
Answer:
220%
Step-by-step explanation:
Amount of change= Greater value- Lesser value
= 16-5
=11
Find the percent increase. Round to the nearest percent.
Percent change= Amount of change
Original Amount
=11/5
=2.2
=220%
Hope this helped
General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch?
A. P(x) ≥ $8.00
B. x is all real numbers
C. x ≥ 0, where x is non-negative
D. x ≥ 0, x is an integer
Given:
Total cost P(x) as a function of the number of tickets, x is
[tex]P(x)=x+8[/tex]
To find:
The domain for visiting and riding rides at Paul’s Pumpkin Patch.
Solution:
Domain is the set of input values.
Here, domain is x and it represents the number of tickets.
We know that, number of tickets cannot be negative or decimal or fraction vales. So, x must be non-negative and integer value.
Domain = x ≥ 0, x is an integer
Therefore, the correct option is D.
Is 4 a solution to the compound inequality “x > 0 AND x < 7”
Answer:
Yes
Step-by-step explanation:
4 is greater than 0, and 4 is less than 7
Answer:
yes
Step-by-step explanation:
x is greater than 0 and also less than 7 in this case.
(hi again furydrill! i just answered one of your questions a minute ago!)
Can somebody plz help me with this question!
Answer:
y= -4/5x - 2Step-by-step explanation:
y=mx+b thats all i can think of to put here lol
have a good day lovely =)
Ms sherman had 36 guests at her house for a party. Each guest brought 1 item
•One-third of the guests brought cupcakes
•one-half of the guests brought chips
•The rest brought drinks
How many guests brought drinks
Answer: 216?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
one third of 36 is 12
one half of 36 is 18
and
12+18=30
36-30= 6
There are 25 servings in a 16.8 ounce bottle of
cooking oil. How many ounces
are in a serving?
1. Kites are on sale: 4 kites for $11. If Josh
spent $35.75 on kites during the sale, how
many kites did he buy? Write and solve a
proportion to answer.
C. 22 kites
A. 9 kites
B. 13 kites
D. 98 kites
Answer:
the kites are 4 for $11 then Josh buy x amount with $35.75 on kites. So what you do is you didved each numder and the the one that is closest to that numder is the right answer so the answer is 13 kites
What is f(x)= 3x+ 13(17x-7) if x equals 4?
Answer:
805
Given:
x=4
Step-by-step explanation:
f(x) = 3x + 13(17x-7)
f(x) = 3 × 4 + 13(17 × 4 - 7)
f(x) = 12 + 13(68 - 7)
f(x) = 12 + 13 × 68 - 13 × 7
f(x) = 12 + 884 - 91
f(x) = 12 + 793
f(x) = 805
hope you understood❤❤
lg(5x+10)+2lg3=1+lg(4x+12)
need them fast with steps
Answer:
x=6
Step-by-step explanation:
log(5x+10)-log(4x+12)=1-2log(3)
log(5x+10/4x+12)=1-2log(3)
log(5x+10/4x+12)=log(10)+log(3^-2)
log(5x+10/4x+12)=log(10×3^-2)
log(5x+10/4x+12)=log(10×1/9)
log(5x+10/4x+12)=log(10/9)
5x+10/4x+12=10/9
9(5x+10)=(4x+12)10
45x+90=40x+120
5x=30
x=6
if you like my answer. Please mark me as brainliest
Find all the missing elements
Answer:
[tex] b = 5.5 [/tex]
[tex] c = 11.2 [/tex]
Step-by-step explanation:
Given:
A = 96°
B = 25°
C = 59°
a = 13
Required:
b and c
SOLUTION:
Use Sine Rule to find the measure of a and b, respectively.
✍️Thus, to find b, use,
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
Plug in the values
[tex] \frac{13}{sin(96)} = \frac{b}{sin(25)} [/tex]
Multiply both sides by sin(25)
[tex] \frac{13}{sin(96)} \times sin(25) = \frac{b}{sin(25)} \times sin(25) [/tex]
[tex] \frac{13 \times sin(25)}{sin(96)} = b [/tex]
[tex] b = 5.5 [/tex] (nearest tenth)
✍️To find c, use,
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{13}{sin(96)} = \frac{c}{sin(59)} [/tex]
Multiply both sides by sin(59)
[tex] \frac{13}{sin(96)} \times sin(59) = \frac{c}{sin(25)} \times sin(59) [/tex]
[tex] \frac{13 \times sin(59)}{sin(96)} = c [/tex]
[tex] c = 11.2 [/tex] (nearest tenth)
The constants a, b, and c are positive. Solve the inequality for x.
ax-b is less than c
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[tex]ax - b < c[/tex]
Add sides b
[tex]ax - b + b < c + b[/tex]
Simplification
[tex]ax < b + c[/tex]
Divide sides by a
[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]
[tex]x < \frac{b + c}{a} \\ [/tex]
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Help me pls thank you!!
What is the quotient?
Answer:
-0.4
I am pretty sure
Step-by-step explanation:
plz help its pass due
Answer:
C
Step-by-step explanation:
The coordinates went from (4,1) to (-4,-1). This means it went from (x,y) to (-x,-y)
Square numbers between 300 and 400
Benito wants to buy a car. He is considering two different models. Model A is 6 7/8 feet wide. Model B is 75 inches wide. Express the width of each car using feet using a decimal. Which car is bigger?
please help , what’s the value of x?
Answer:
x = 34
Step-by-step explanation:
[tex]x=34[/tex]
PLEEAAASEEEE can anyone explain how I do this? Or does anyone have the answer??
Answer:
I am fairly certain is y=8x
Step-by-step explanation:
The only definitive points are (0,0) and (10,80)
So using the slope formula rise/run i got 8
Which of these equations correctly identify factors of 15? Check all that apply.
15 ÷ 1 = 15
15 ÷ 2 = 7
15 ÷ 3 = 5
15 ÷ 5 = 3
15 ÷ 10 = 5
Answer:
15÷1=15
15÷3=5
15÷5=3
Step-by-step explanation:
Answer:
15 divided by 1 = 15
15 divided by 3 = 5
15 divided by 5 = 3
Step-by-step explanation:
Given h(x) = 4x – 5, solve for x when h(x) = 7.
Answer: x = 3 when h(x) = 7.
Step-by-step explanation:
h(x) = 4x -5 To solve for x when h(x) = 7, you will set the expression 4x -5 equals 7 to solve for x.
4x -5 = 7 Add 5 to both sides
+5 +5
4x = 12 Divide both sides by 4.
x= 3