Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!
A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always
Answer:
2.9195
Step-by-step explanation:
To find the time we need to equate the function the zero and solve for t:
[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]
Using the general formula we have that:
[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]
then:
[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]
Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.
Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table
Please answer the question above.
Answer:
40 degrees
Step-by-step explanation:
x=7 so 4x+12 would be (4×7) + 12)
28+12= 40
write the function that represents the sequence in the table
Jason is buying fruit at the grocery store to make a fruit salad for his company party. For the fruit salad he needs the ingredients listed below.
14 lb of blueberries
23 lb of strawberries
1 lb bananas
14 lb of grapes
12 lb of oranges
The price list is shown.
How much will the fruit for the fruit salad cost? Show your work.
Answer:
82.8 for the strawberries
2.49 for the bannanna
44.8 for the grapes
35.76 for the oranges
The total is 165.85
Step-by-step explanation:
The cost of fruits for fruit salad is $200.59.
Given that, fruits for fruit salad and their costs are listed below.
How to add decimal numbers?Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.
Total cost of blueberries
= 14 × 2.48 = $34.72
Total cost of strawberries
= 23 × 3.60 = $82.8
Total cost of bananas
= 1 × 2.49 = $2.49
Total cost of grapes
= 14 × 3.20 = $44.8
Total cost of oranges
= 12 × 2.98 = $35.78
So, total cost of fruits for fruit salad
= 34.72+82.8+2.49+44.8+35.78 = 200.59
Therefore, the cost of fruits for fruit salad is $200.59.
To learn more about the addition of decimals visit:
https://brainly.com/question/17612968.
#SPJ2
how to solve this wokr
Answer:
[tex]2a^{2} +4ab+2b^2[/tex]
Step-by-step explanation:
(a + b)(2a + 2b)
2a^(2) + 2ab + 2ab +2b^2
[tex]2a^{2} +4ab+2b^2[/tex]
True or false: if two parallel lines are cut by a transversal, each pair of alternate angles are congruent?
Answer: True.
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
graph the point (-10,-7) on the coordinate plane
The circumference of a tree trunk is 50 ft
Answer:
So the length will be the same as the length of the torso
PLZ HELP!!! i dont know what to d0 :(
a cereal box is 18 inches by 3 inches by 12 inches. After breakfast, the box is one-third full. How many cubic inches of cereal are left inside?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 216 in ^3
Explanation:
18 x 3 x 12 = 648
648 / 3 = 216 in ^3
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
WILL MARK BRAINLIEST
What is −4|a - 13| ≤ −56?
Answer:
a ≤ 27
Step-by-step explanation:
What is the area of a rectangle with a length of
418 feet and a width of 2 feet? (HURRY PLZ I'M GETTING ASKED A QUESTION)
Answer:
8 1/4
Step-by-step explanation:
Answer:
836 feet
Step-by-step explanation:
For area, it is length times width, so in this case it would be 418 times 2.
Smoothies weren't cutting it so we went to Red Robin to order a burger. Our bill was $5.79. Avon has a 5.25% tax and our
waitress earned a 15% tip. What was the total bill?
Answer:
$6.96
Step-by-step explanation:
5.25% of 5.79
5.79 × 5.25/100 = $0.303975 or $0.30
15% of 5.79
5.79 × 15/100 = $0.8685 or $0.87
total
$5.79 + $0.30 + $0.87 = $6.96
a triangular prism has bases that are 3 inches tall and 8 inches wide the remaining two sides of each triangular base are 5 inches long, and the distance between the bases of the prism is 12 inches. What is the total surface area?
Answer:
there are 16 inches of bases
PLS HELP WILL MARK BRAINLIEST
3.7 as a fraction simplified
Answer:3 7/10
Step-by-step explanation:
:)
there are two containers.container A has 2 blue marbles, 3 green marbles and 5 yellow marbles in container A.container B has 2 blue marbles and 4 yellow marbles in container B. witch container has the greater probability of picking yellow?
What is the slope of the line that passes through the points (8, 2) and (9, 3)? Write
your answer in simplest form.
Answer:
The slope of the line is 1
Step-by-step explanation:
c) Jasper and Emma are training for a marathon. Jasper runs 6 kilometers at a
time while Emma prefers to run in blocks of 3 kilometers. At the end of a
month, they realize that they have run same total number of kilometers. What
is the smallest number of kilometers that each must have run?
Answer:
The smallest number of kilometers that each must have ran is 6 km
Step-by-step explanation:
The distance Jasper prefers to run at a time = 6 km
The distance Emma prefers to run at a time = 3 km
The distance ran by Jasper at month end = The distance ran by Emma at the end of the month
The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;
The multiples of 6 are;
6 × 1 = 6, 6 × 2 = 12...
The multiples of 2 are;
3 × 1 = 3, 3 × 2 = 6...
∴ The LCM of which = 6
Therefore, the smallest number of kilometers that each must have ran = 6 km
plsss help i’ll give brainliest if you give a correct answer
Answer:
y=15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
To find y:
8y=120 –––Divide both sides by 8 so you can get y alone
y=15
The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B
Answer:
its a acute 120 degree angle
find the value of x. round to the nearest tenth. the diagram is not drawn to scale
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
Directions Find the value of each variable
Answer:
X= 2 sqrt of 7
Y=2 sqrt of 7
Step-by-step explanation:
I just know the answer srry
Change the fraction 3/4 to a percent
Answer:
0.75
Step-by-step explanation:
what you do is divde 3 by 4 which equals to 0.75
Answer:
75%
Step-by-step explanation:
If your rounding 2 decimals. Hope this helps!
A landscape designer is designing a flower garden that is shaped like a parallelogram. The length of the edges of the garden along the house and driveway are 18 ft. and 8 ft. respectively, and the edges come together at an angle of 80°. Draw a diagram, and then find the area of the garden to the nearest square foot.
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
Please answer I’ll make brainliest
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48