Answer:
f(x) has 3 real roots
Step-by-step explanation:
According to the Fundamental theorem of Algebra.
A polynomial of degree n has n roots, which can be real or complex or both.
Thus a polynomial of degree 3 has 3 roots.
Two real roots are given
Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.
Thus f(x) has three real roots.
Answer:
B
Step-by-step explanation:
Edge
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
I WILL AWARD BRAINLIEST
Answer: Masha needs 40 more minutes to complete the path.
Step-by-step explanation:
So if Dina is cycling speed is 10km per hour that means it will take Dina 2 hours to completed the the path.
Here; [tex]\frac{10km}{1h}[/tex] = [tex]\frac{20km}{x }[/tex]
10x = 20
x= 2
But since Masha still have 4 more km to go you will add 20 + 4 =24
[tex]\frac{10}{1}[/tex] = [tex]\frac{24}{x}[/tex]
10x= 24
x= 2.4
(05.03 MC)
Look at the figure below:
Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE equals EC and ED equals BE.
Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? (1 point)
Triangle ABE and triangle CBE
Triangle AEB and triangle CED
Triangle BEC and triangle DEC
Triangle ABC and triangle DCE
Answer:
Triangle AEB and triangle CED2nd answer is correctStep-by-step explanation:
AE = EC (side)
BE = ED( side)
AEB angle = DEC angle( angle)
Triangle AEB and triangle CED ( SAS)
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
Is (-2,3) a solution of the graphed inequality?
Choose 1 answer:
.Yes
or
.No
Answer:
yes
Step-by-step explanation:
Answer:
Yes my mistake didn't see the solution.
.Step-by-step explanation:
Inequality is basically where it doesn't eqaul to the
!!y≤x+ (0,0)!!
Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
Answer:
y = x - 2
Step-by-step explanation:
y + 4 = 1 (x + 2)
y + 4 = x + 2
y = x - 2
which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)
Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
Someone help me please?!
Answer:
13
Step-by-step explanation:
Mark me as brainliest
Vector v has its initial point at (13, -7) and its terminal point at (3, -1). Write the vector in component form and find its magnitude. Round the vector’s magnitude to the nearest hundredth unit. Make sure to show all work and explain the steps.
Is this what your looking for?
First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).
Question 26
Read the question in the picture
Answer:
C or B if not then its B
Step-by-step explanation:
Answer:
y=4x-1
Step-by-step explanation:
On the x-axis , the line is on the number positive 4 .
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh
Answer:
which question
Step-by-step explanation:
Answer:
its 7
Step-by-step explanation:
im in need of brainliest
how many real roots does a quadratic equation have if the discriminant is 10
Answer:
2
Step-by-step explanation:
if the discriminant of the quadratic equation is 10 then it will have 2 real roots.
Try It!
Find the length of a 100-yard football field in meters. Use 1 yard = 3 feet
and 1 meter = 3.28 feet. Round to the nearest tenth.
Answer:
91.46m
Step-by-step explanation:
The length of 100 yard football field in meters.
From the dimension given,
1 yard = 3 feet
Therefore,
100 yard = x feet
1 yard = 3 feet
100 yard = x feet
X = (100 × 3) / 1
X = 300 feet.
But,
1 metre = 3.28feet
X metre = 300 feet
X = (300 × 1) / 3.28
X = 91.46m
Therefore, 100 yard football field is equal to 91.46m
If T=[23 -38]
[17. -6 ] then what is -10(T)
Answer:
B
Step-by-step explanation:
Multiply each term by -10
Sally has 4 red socks, 6 white socks, and 2 pink socks in her drawer. She
randomly pulls a red sock out of the drawer. Then she randomly pulls out
another sock from a drawer.
a) What is the probability that Sally pulls out a red sock?
b) What is the probability that Sally pulls out a sock that is not red?
c) Are the events described in a) and b) complementary? Explain.
A) 1/3
B) 2/3
C) Yes because 1/3+2/3=1 but if it was 1/3 and 1/3 it would not be complementary
Explain the students mistake
Answer:
The student was supposed to multiply 4(1+5n) to equal 4+20n instead she forgot to multiply 5n and put 4+5n.
Step-by-step explanation:
-8n + 4(1 + 5n) = -6n -14
-8n + 4 + 20n = -6n -14
12n+4 = -6n -14
+6n +6n
18n +4 = -14
-4 -4
18n= -18
n = - 1
16. Determine the measure of x:
21
680
х
Use long division to find the quotient below
Answer:
[tex]4x^2-2x+6[/tex]
Step-by-step explanation:
I did it on paper
[tex](8x^3+20x^2+36)/(2x+6)=4x^2-2x+6[/tex]
12 = 6(n – 7)
Solve 2 -step equation
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
Divide by 6 on both sides
12/6 = 6/6(n – 7)
2 = n-7
Add 7 to each side
2+7 = n-7+7
9 = n
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
12 = 6n - 42. Use the distributive property
12 = 6n - 42
+42. +42. Inverse operations
54 = 6n
÷6. ÷6
9 = n
Eric's income puts him in the second tax bracket (15%) last year. During the same year, he earned $515 in dividends and $65 in coupons on a municipal bond. In March, he purchased a common stock for $200. He sold the same stock six months later for $915. What is the total Eric will pay in taxes on last year's investments?
Answer: $184.50
Step-by-step explanation:
Eric’s income puts him in the second tax bracket which has 15%, tax rate.
Eric has the following income-
Income from dividends = $515 what ch is (taxed at 15%)
Therefore; tax on dividend income = $515 * 15%
= $515 × 15/100
= $515 × 0.15
= $77.25
The Income from municipal bonds = $65 (Not taxed)
The income from sales of stock (capital gain)= $915 - $200 = $715 (This is held for less than 1 year therefore it is taxed as ordinary income at 15% tax rate)
Therefore,the tax on the short-term capital gain
= $715 * 15%
= $715 × 0.15
= $107.25
Therefore the total amount Eric will pay in taxes on last year’s investment will be:
= tax on dividend income + the tax on short-term capital gain
= $77.25 + $107.25
=$184.50
Answer:
$107.25
Step-by-step explanation:
I just took the quiz ehehe
20 POINTS!!!!!!!!!!! ASAP! 20 POINTS!!!! Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 7, point 2, negative 17, point 3, negative 27, point 4, negative 37, point 5, negative 47, and point 6, negative 57 a1 = −7; d = 10 a1 = −7; d = −10 a1 = 1; d = 10 a1 = 1; d = −10
Answer:
a1 = -7
d = -10
Step-by-step explanation:
Look at the points, you first point (1,-7) where a1 is 1 and that also means -7
Same for d go to the second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10 <--- that is your d!
Goodluck
a1 is -7 and d is -10. Comparative genomics use bidirected graphs known as sequence graphs.
What is sequence graph?Comparative genomics use bidirected graphs known as sequence graphs, often referred to as alignment graphs, breakpoint graphs, or adjacency graphs. The structure is made up of several graphs or genomes, where the edges and vertices correspond to the adjacencies.
A sequence, which often represents an entire genome or a portion of a genome, is produced by traversing an interdependent component of segments with adjacency edges (referred to as a thread).
first point (1,-7) where a1=1 and that also means -7
second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10, its d
a1 = -7
d = -10
Therefore, a1 is -7 and d is -10.
To know more about sequence graph, here:
https://brainly.com/question/1549176
#SPJ3
PLEASE ANSWER ASAP!! GOOD 20 POINTS
Answer:
43
Step-by-step explanation:
Let's plug in 105 for v. We get 105 = 30[tex]\sqrt[3]{t}[/tex].
3.5 = [tex]\sqrt[3]{t}[/tex]
t = 43 seconds
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. a = 9, c = 15
1) 15
2) 11
3) 14
4) 12
Wendy had 1/2 of her birthday cake left over, so she decided to take it to work.
She shared her cake equally amongst herself and five of her coworkers. What
fraction of the birthday cake does each person get?
Answer:
1/12
Step-by-step explanation:
1/2 divided by 6
that way her and her 5 workers each get the same amount of cake
1/12
Step-by-step explanation:
1/2/6=1/12
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money does she need to bring to closing
Answer:
$2,980
Step-by-step explanation:
Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.
From the given question:
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage
the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points
Thus; the additional money she need to bring to closing is calculated by the formula:
cost = points × loan amount
= 0.02 × $149,000
= $2,980
A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees
Answer:
a. 14.19 feet
b. 2504.26 cubic foot.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
(a) Determine the height of the cone to the nearest tenth of a foot.
(b) Determine the overall volume of the tower to the nearest cubic foot.
Please have a look at the attached photo.
My answer:
Given the information:
The cylinder has:
diameter of 12 feet => the radius : 6 feetheight of 15 feetThe cone has: an inclination angle of 25 degrees
(a) Determine the height of the cone to the nearest tenth of a foot.
Let h is the height of the cone
The distance from C to A is 6 feet and the measure of the angle CAB is 25 degrees. The triangle ABC is a right triangle.
=> sin(CAB) = [tex]\frac{CA}{h}[/tex]
<=> h = [tex]\frac{CA}{sin25}[/tex]
<=> h = [tex]\frac{6}{sin25}[/tex]
<=> h = 14.19 feet
(b) Determine the overall volume of the tower to the nearest cubic foot.
overall volume = volume of the cone + volume of the cylinder
We have:
Volume of the cylinder = the height*the base area= 15*[tex]r^{2}[/tex]*π
= 15*[tex]6^{2}[/tex]*π
= 1696.6 cubic foot.
volume of the cone = 1/3*the height*the base area= 1/3*14.19*[tex]6^{2}[/tex]*π
= 534.76 cubic foot.
=> overall volume = 534.76 + 1696.6 = 2504.26 cubic foot.
Hope it will find you well.
Would simplifying affect the inequality?
3x < 7+3
What would be the simplified form or the next step?
Answer yes or no, simplified form written
Answer:
Simplifying would not affect the inequality, because you are still saying the same thing just in a different way
Step-by-step explanation:
the next thing you would have to do would be to add 7+3 which gives you 10 and then divided 3x by 3x and 10 by 3x and badaboom there's your answer
Find the solution set of the inequality
14-3x<-1
Answer:
x > 5
Step-by-step explanation:
PLEASE ANSWER CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!!!!!!!!
Answer:
u-5=-4(v-1)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
V=-u/4+9/4 THIS ANSWER IS IF YOU ARE LOOKING FOR (V)
u=-4v=9 THIS ANSWER IS IF YOU ARE LOOKING FOR (U)
HOPE THIS HELPS:)!!!!!
STAY SAFE
A recipe uses ⅔ cup of flour and ⅝ cup of blueberries. Is there more flour or more blueberries in the recipe?
Answer:
There is more Flour
Step-by-step explanation:
☻ Get common denominators then compare the numerators
Answer:
Flour.
Step-by-step explanation:
You have to multiply both denominators to get 24, and whatever you multiplied them by, you multiply the numerator. 2x8 =16/24
5x3=15/24
Photo is above need help no work needed just the answer thank you
Answer:
D is the correct answer
6:
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
A
Gallery: g
Balcony: g
Main Floor: g + 225
B
Gallery: g + g + 225
Balcony: 2g
Main Floor: g
C
Gallery: g
Balcony: g + 225
Main Floor: 2g + 225
D
Gallery: g
Balcony: 2g
Main Floor: 2g + 225
Answer:
D) gallery: g
balcony: 2g
main floor: 2g + 225
Step-by-step explanation: