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]
There are 25 servings in a 16.8 ounce bottle of
cooking oil. How many ounces
are in a serving?
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 =)
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.
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 inequality represents the range of the relation graphed below?
Answer: I think it’s d
Step-by-step explanation:
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❤❤
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
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
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!
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
The constants a, b, and c are positive. Solve the inequality for x.
ax-b is less than c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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)
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
Square numbers between 300 and 400
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
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:
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
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!)
What is the quotient?
Answer:
-0.4
I am pretty sure
Step-by-step explanation:
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
please help , what’s the value of x?
Answer:
x = 34
Step-by-step explanation:
[tex]x=34[/tex]
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
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
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:
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)
- 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
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?
what is the decimal form for 3750?
Answer:
.3750
Step-by-step explanation:
sorry if this is wrong. I don't understand
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
Help me pls thank you!!