Answer:
x = -2, -5
Step-by-step explanation:
x^2 + 7x + 10 = 0
The factors of 10 are as follows:
1, 10
2, 5
We can combine 2 and 5 to make 7
(x +2) (x + 5) = 0
One of these brackets must equal 0 to make the answer 0, as you are multiplying them together
If x + 2 = 0, x = -2
If x + 5 = 0, x = -5
Therefore, x = -2, -5
Hey there!
Answer :x = -5 or x = -2 ✅Explanation :QUADRATIC EQUATION:
ax² + bx + c = 0 where a ≠ 0
The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :
If the discrimant is positive, the equation has two real-number solutions.If the discrimant is equal to zero, the equation has one real-number solution.If the discriminant is negative, the equation has no real-number solution.The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :
[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
---------------------------------------------------------------
▪️ x² + 7x + 10 = 0
(1) Substitute the letters in the general quadratic equation with their values in the given expression:
a = 1b = 7 c = 10(2) Determine the sign of the discriminant:
[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
The discrimant is positive ; the equation has two real-number solutions.
(3) Determine the roots of the equation :
a)[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
(b)[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, x = -5 or x = -2
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Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).
Answer: B
Step-by-step explanation:
Spinner A and Spinner B below are each to be spun once.
If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?
18
12
9
6
Answer:
9
Step-by-step explanation:
Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9help with this??? i beg of you☹️☹️
Answer:
The answer is 3 cm.
Step-by-step explanation:
To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.
For this equation, we would do the following:
3456 ÷ 36 = 96 cm²
Now that we have divided volume by length, let's divide by height next:
96 ÷ 32 = 3 cm
Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.
3 × 32 × 36 = 3456 cm³
Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.
What is the volume of a rectangular prism with the dimensions: base 238 cm, height 113 cm, and length 334 cm?
Answer: 8,982,596 cm
Step-by-step explanation:
Rectangular Prism Volume = Height * Length * Width/base
238 cm * 113 cm * 334 cm = 8,982,596 cm
Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms. What is the mass represented in scientific notation? A. 2.33 × 1024 kilograms B. 2.33 × 10-24 kilograms C. 2.33 × 1023 kilograms D. 23.3 × 1023 kilograms
Answer:
2.33 x 10^24 kilograms
Step-by-step explanation:
hope this helps!!
=2.33 × [tex]10{^{21}[/tex]
scientific notation
= 2.33e21
scientific e notation
= 2.33 × [tex]10{^{21}[/tex]
engineering notation
= 2.33 × [tex]10{^{21}[/tex]
21
Order of Magnitude
for scientific and standard forms
two setillion three hundred thirty quintillion
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
your answer would be 147°
solution:
since ∠x and ∠y are supplementary angles. they must add up to 180°
so ∠+∠y=180°
∠x=180°-∠y
= 180°- 33°
=147
Math question help pls
Answer:
the circumference of the circle is 50.24
Find the factor of each ff.
10x²-21x-27
Answer: (10x + 9) (x - 3)
Step-by-step explanation:
Factor by grouping
A car travels for 7 hours and 50 minutes at an average speed of 130 km/h. How far has the car travelled (in km)?
The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.
How to find the distance travelled by a car?The car travels for 7 hours and 50minutes at an average speed of 130 km/h.
Therefore,
speed = distance / time
speed = 130 km/h
time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours
Therefore,
130 = distance / 7.83
cross multiply
distance = 7.83 × 130
distance = 1017.9 km
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what is 7sqrt 28z+sqrt63z
Answer:
[tex]17\sqrt{7z}[/tex]
Step-by-step explanation:
[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]
is 300 greater than 1/2?
Answer:
yes
Step-by-step explanation:
1/2 is half of 1.
300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.
Answer:
Yes, 300 is greater than 1/2
x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
Which of these is an exponential parent function?
−7 ≤ −2; Add 9 to both sides
Answer:
2≤7
Step-by-step explanation:
-7+9≤-2+9
2≤7
A 12 _ foot ladder is leaning against a house the ladder reaches 7.7 feet up the wall wha is the angle of elevation of the ladder?
Check the picture below.
Make sure your calculator is in Degree mode.
Sophia and Emilio are looking for a daycare for their son, Michael. They want to make sure the daycare is midway between their jobs. Sophia works at the HEB located at (4, 6), and Emilio works at the Home Depot located at (1, 2). Where should the daycare be located?
(2.5, 4)
(1.5, 5)
(1.5, 2)
(2,3)
Answer: 2,3
Step-by-step explanation: I think this is the right answer. Have a good day!! :)
Which of the following are solutions to the inequality below? Select all that apply.
11 ≥ a a = 10 a = 2 a = 8 2 = 3
Answer:
a = 10
a = 2
a = 8
Step-by-step explanation:
The inequality:
11 ≥ a
We will go through all the options:
-> In short, all values less than or equal to 11 will be solutions.
a = 10
11 ≥ a
11 ≥ 10 ✓
-
a = 2
11 ≥ a
11 ≥ 2 ✓
-
a = 8
11 ≥ a
11 ≥ 8 ✓
-
2 = 3
N/A, no 'a' variable given.
A nickel has a diameter of 21.21 millimeters. What is the area of the face of a nickel? Use 3.14 for π . Round to the nearest hundredth if necessary.
The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
As the surface of nickel is in shape of 2-D circle.
radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm
Area of circle= [tex]\pi r^{2}[/tex]
= 3.14* 21.21*21.21
= 353.143 [tex]mm^{2}[/tex]
= 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
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Can someone help me with this please?
The final matrix will be as follows [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
What are matrices?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.
The calculation of the given matrix is as follows:-
[tex]\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\[/tex]
[tex]\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right][/tex]
[tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
Hence the final matrix will be as follows [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
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A raised gardening bed contains 24 cubic feet of dirt. The bed is 6 feet wide and 8 feet long. How deep is the dirt in inches?
Answer:
0.5 feet
Step-by-step explanation:
Volume = Length × Width × Depth
Here :
Volume = 24 ft³Width = 6 ft.Length = 8 ft.Solving :
24 = 8 x 6 x DepthDepth = 24/48Depth = 0.5 feetPlease help explain, tyy
Answer:
3. (3, 6)
4. (3, 7)
5. (3, 36)
Step-by-step explanation:
These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.
Please help me out!
Answer:
it is the there'd one
if this is wrong sorry
pls help what is the m ACD?
Answer:
Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )
Pedro is sailing his boat and maps his route on a coordinate plane. He starts at the origin and then sails 1.2 kilometers west, 1.5 kilometers south, 2 kilometers west again, and 2.8 kilometers north.
Pedro's total distance moved is 7.5 kilometers
How to determine the total distance?The given parameters are:
West = 1.2 kilometersSouth = 1.5 kilometers West = 2 kilometersNorth = 2.8 kilometersThe total distance is the sum of the above distances i.e.
Total = 1.2 km + 1.5 km + 2 km + 2.8 km
Evaluate
Total = 7.5 km
Hence, Pedro's total distance moved is 7.5 kilometers
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AABC is isosceles.
mZC = 25° and mZA = 8x - 7.
Answer:
x = 4
Step-by-step explanation:
<C = <A
25° = 8x - 7
32 = 8x
x = 4
which expression is equivalent
to -14 - 35 d please help for 50 points
Answer:
number 1
Step-by-step explanation:
The term "Volume" in finance means...
A)highest price paid for a share in a given day
B)total shares traded during a certain time frame
C)change between current day's and previous day's close
D)loudness or softness in the market
The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.
What is shares?To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.
The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.
Thus, the “Volume” in finance means total shares traded during a certain time frame.
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Please help I’m very confused
Answer:
C. 21 1/9
Step-by-step explanation:
6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9
Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?
Answer:
160,000 tins
Step-by-step explanation:
To find the number of tins, divide the fill rate by the volume per tin.
__
(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h
160,000 tins of paint can be filled in 1 hour.
_____
Additional comment
That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.
There are 60 minutes per hour. There are 1000 liters per cubic meter.
Find the surface area
Answer:
should be 872 in^2
Step-by-step explanation:
Answer:
Area = 872
Step-by-step explanation:
Formula for the surface area of a rectangular prism is
A=2(wl+hl+hw)Plug in
A =2·(8·17+12·17+12·8)=872