The roots of the quadratic equation 2x² + 5x + 3 = 0 are x = -3 and x = -1/2.
To find the roots of a quadratic equation, we must first convert the equation into the standard form ax² + bx + c = 0. In this case, the given equation is already in this form, so we can proceed with solving. To solve, we use the quadratic formula, which is x = (-b ± √(b² - 4ac))/2a.So, we have x = (-5 ± √(25 - 4(2)(3))/2(2). Simplifying, we get x = (-5 ± √(13))/4. The quadratic formula yields the values x = -3 and x = -1/2. Therefore, the roots of the quadratic equation 2x² + 5x + 3 = 0 are x = -3 and x = -1/2.
x = (-5 ± √(25 - 4(2)(3))/2(2)
= (-5 ± √(13))/4
= -3, -1/2
Learn more about roots here
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Which expression is equivalent to 91 + 39?
(A) 13(7 + 39)
(B) 3(30 + 13)
(C) 13(7 + 3)
(D) 7(13 + 6)
Can someone please help me with math.
Answer:
9. C. 35 + 0.12x = 44.36
10. C. The system has no solution since the second equation is equal to 0
11. A. 32
Step-by-step explanation:
9. The Hill family drove for 78 miles
The rental agency chargers a weekend fee of $35.00 and 12 cents per mile
Convert cents to dollars
1 cent = 0.01 dollar
∴, 12 cent = 12 x 0.01 = 0.12 dollar
Therefore, total bill amount = 35 + 0.12 per mile
Let "x" be the number of miles driven
Final bill was $ 44.36
44.36 = 35 + 0.12x
0.12x = 44.36 - 35
0.12x = 9.36
Divide both sides of the equation by 0.12
x = 78
10. The system of equations is...
The true statement about the given system of equations.
The slope-intercept form of a line is...
Where m is the slope and b is the y-intercept.
We have,...
On comparing these two lines with slope-intercept form, we get...
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
11. This is an equation Solutions: x=32.
⇒ Value of (Dimes + Quarters) = $ 6.70
or, (0.1 m) + 11.5 - 0.25 m = 6.70
-0.15 m = - 4.8
or, m = 4.8/0.15 = 32
⇒ m = 32
Please help me I’ll mark brainliest!!!!
Answer:
Step-by-step explanation:
22. A carton of milk holds 10 cups. A recite
for strawberry milkshakes requires 3/4 of a cup
of milk. How many recipes could you make
with the carton of milk?
Answer:
7
Step-by-step explanation:
Just simply divide 10 with 3/4
[tex]10*\frac{3}{4}\\\\=\frac{15}{2}[/tex]
Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].
Now round down the value
the answer is 7
Help me with this question please!
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps
Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle ABC is the right triangle.
m∠A = 42°
What is m∠B?
A. 38°
B. 42°
C. 48°
D. 128°
Answer:
C m∠B = 48°
Step-by-step explanation:
The acute angles of a right triangle are complementary which means their sum is 90
m∠A + m∠B = 90
42 + m∠B = 90
m∠B = 48°
if a= 3 and b= 4 what would c=
Answer:
5
Step-by-step explanation:
NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of 175.25 for each ton of sugar. The second company charges $5696 to rent trucks plus an additional fee of 225.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Answer:
14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?
1,000π ft3
10,000π ft3
4,000π ft3
40,000π ft3
9514 1404 393
Answer:
(b) 10,000π ft³
Step-by-step explanation:
The relation between circumference and radius is ...
C = 2πr
r = C/(2π) = (20π)/(2π) = 10 . . . . feet
The volume of a cylinder with radius 10 ft and height 100 ft is ...
V = πr²h
V = π(10 ft)²(100 ft)
V = 10,000π ft³
Answer:
10,000π ft3
Step-by-step explanation:
I took the test
helpppppppppppppppp pleaseeeeeeeerrrr
d is the answer
Step-by-step explanation:
the formula of finding a polygon's area is a=bh(1/2)
Example
on the chart it says base 4 and height 6 = an area of 12
which is saying 24 divided by 2 or 1/2 = 12
A rectangular flower garden in Samantha's backyard has 300 feet around its edge. The width of the garden is 70 feet.
what are the components of a proofs in proving that two triangle are congruent?
Please answer it i need now i will follow,br,ainlist,thanks.
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Step-by-step explanation:
The formula for the volume of a rectangular prism is V=l×w×h. Multiply the length times the width times the height to write a simplified expression in standard form to represent the volume of the box.
Answer:
Volume of box= Box Area * Box height
Step-by-step explanation:
If the box has equal sides then the l=w=h length is equal to height and both are equal to width so this can also be written as l=l=l or
Volume= length * width * height
V= l*w*h
V= l*l*l
V= l³
or if the three sides are not equal this can also be written as
Volume of box= Box length * Box width * Box height
If we observe closely we find that length * breadth gives the area so the volume of the box can also be written as
Volume of box= Box length * Box width * Box height
Volume of box= Box Area * Box height
Find the missing length. The triangles in each pair are similar.
Answer:
Step-by-step explanation:
This a not so simple ratio problem:
MN is to LN as TN is to UN as MT is to LU
MN/LN = TN/UN = MT/ LU trying to find LU
88 / (? + 32) = (88-56)/32 = 56/?
= 32 / 32 = 56 / ?
1 = 56 / ?
? = 56
88 / (56 +32) = 1 This must be an Isosceles triangle and UT bisects
LN and MN
find the volume of this shape please helppp
.
[tex] = 1.540 \: {cm}^{3} [/tex]
.
Explain.
Use this formula :
[tex] = \pi \times {r}^{2 } \times t[/tex]
[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]
[tex] = 22 \times 7 \times 10[/tex]
[tex] = 154 \times 10[/tex]
[tex] = 1.540 \: {cm}^{3} [/tex]
.
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gak bisa bahasa inggris :(PLEASE HELP! ASAP I WILL GIVE BRAINLIEST
This table represents the monthly fees for checking accounts at two banks.
Which statement is best supported by the information in the table?
The fee at Sunset Bank will always be less than the fee at Oceanview Bank.
The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.
The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.
The fee at Sunset Bank will always be more than fee at Oceanview Bank.
Answer:
the fee at sunset bank will always be more than fee at Oceanview bank.
Answer:
D
Step-by-step explanation:
i got it correct and go to k-12
please help!!No links
Answer:1800
Step-by-step explanation: The larger triangle is double the size of the smaller triangle based on the sides 300->600 and 400->800
Please I really need help with this
Answer:
x=16
I used Pythagorean theorem.
Step-by-step explanation:
Tell me if you have more questions or want to know how I solved it.
Have a nice day!
and can I maybe have brainliest? Thanks!
What is the median of the following data set?
{5, 2, 9, 7,4}
A.5
B.7
C.8
D.9
Answer:
5
Step-by-step explanation:
The median of all the answers equal up to 5.
Graph a direct variation function that goes through the point (-2, -6). what is the slope
Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute and evaluate:
[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]
Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.
Answer:
y = 2/3x - 3
Slope: 2/3x
Step-by-step explanation:
Slope: 2/3x
y- intercept: (0,-3)
once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.
equation: y = 2/3x - 3
No links or weird answers, please :(
Are all of these graphs functions? Explain why or why not.
What is The difference of 3-3÷2
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Which equation is the most accurate line of best fit for this scatter plot?
A: y = 10x + 800
B: y = -10x - 800
C: y = -10x + 800
D: y = 10x - 800
mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me
Answer:
its Isaiah he's the most financially stable
Answer:
Compound is Isaiah and Simple is Maria.
Step-by-step explanation:
can someone help? xo
Answer:
D
Step-by-step explanation:
The ordered pair (-1, 1/2) does not appear on this graph.
How did Eskimos hunt whales?
I really need help!!
Answer: The Eskimos killed their whale with an exploding harpoon.
Step-by-step explanation:
a crew of Inupiat Eskimos cruising the Arctic Ocean in a small powerboat spotted the whale's spout, speeded to the animal's side and killed the whale with an exploding harpoon.
State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes
Answer:
Yes
Step-by-step explanation:
6 + 8 = 14 which is bigger than 9 so it is possible
If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible
Andre is saving to buy a guitar for $205. He works at the car wash and get paid $106 a week plus $2 tip for each car he washes. What is the least amount of cars he needs to wash this week to be able to buy the guitar?
Answer: 2 cars
Step-by-step explanation:
$106 x 2= $212 which is the least ammount of cars he needs to wash to get the guitar
Describe the error in the work shown.