Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?
A.(-3,2)
B.(-2,9)
C.(1,6)
D.(3,1)
E. (-1.5)
Answer:
A , DStep-by-step explanation:
Check the inequality for each point.
For A. (-3,2)
[tex]y < {2x}^{2} + 3x - 5 \\ 2 < {2 ( - 3)}^{2} + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\ [/tex]
The inequality is satisfied.
For B. (-2,9)
[tex]y < {2x}^{2} + 3x - 5 \\ 9 < 2 {( - 2)}^{2} + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 < - 3 \\ [/tex]
The inequality is not satisfied.
For C. (1,6)
[tex]y < {2x}^{2} + 3x - 5 \\ 6 < {2(1)}^{2} + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0[/tex]
The inequality is not satisfied.
For D. (3,1)
[tex]y < {2x}^{2} + 3x - 5 \\ 1 < {2(3)}^{2} + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\ [/tex]
The inequality is satisfied.
For E. (-1,5)
[tex]y < {2x}^{2} + 3x - 5 \\ 5 < {2( - 1)}^{2} + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 < - 6 \\ [/tex]
The inequality is not satisfied.
Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?
Answer:
148 cm²Step-by-step explanation:
The cubes have sides of 2 cm, 3 cm and 4 cm respectively.
Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.
Total surface area of each cube is:
Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².Total of three cubes:
24 + 54 + 96 = 174 cm²When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.
Possible decrease, provided full faces area covered:
2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²The least possible surface area is:
174 - 26 = 148 cm²3Cubes :
Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cmSoo :
Volume - 1 = 6 × 2² = 6 × 4 = 24cm²
Volume - 2 = 6 × 3² = 6 × 9 = 54cm²
Volume - 3 = 6 × 4² = 6 × 16 = 96cm²
Totals = 24 + 54 + 96 = 174cm²[tex] \: [/tex]
surface area = 174 - 2(3² + 2²)
surface area = 174 - 2(9 + 4)
surface area = 174 - 2(13)
surface area = 174 - 26
serface area = 148cm²
[tex] \: [/tex]
-HayabusaBrainly
Does anyone know what 7600 53/8 simplified is
Answer:
53/8 = 53/8
Step-by-step explanation:
Here we will simplify 53/8 to its simplest form and convert it to a mixed number if necessary.
In the fraction 53/8, 53 is the numerator and 8 is the denominator.
When you ask "What is 53/8 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.
We do this by first finding the greatest common factor of 53 and 8, which is 1.
Then, we divide both 53 and 8 by the greatest common factor to get the following simplified fraction:
58/3
Therefore, this equation is true:
53/8 = 53/8
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
53/8 = 6 5/8
-Hope this helps.
For each team, find the unit rate games per loss.
Answer:
Ой ну не знаю очень сложный вопрос
solve pls branliest!
Answer:
2004-(-185)=2189
-185+469=284
Step-by-step explanation:
I double checked them
Answer:
A. 3 is 1,819 feet lower than 5
B.284
Step-by-step explanation:
A.4/10
B.1/20
C.3/40
D.2/20
Answer:
it's C. 3/40
Step-by-step explanation:
ghjfrukkbf
can anyone heelp me pls
Answer:
I think it's b.
Step-by-step explanation:
b. ,. ....
jerry runs at a speed of 9 feet per second. Write his speed as a rate
Answer:
is this what your looking for?
If a unicorn went 200 miles how many feet did it take to get home?
Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!
Step-by-step explanation:
In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?
Answer:
[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]
Step-by-step explanation:
We know,The formula of Tan ∅ is–
[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]
Therefore,Tan P will be Option D
[tex]\sf\longmapsto \: \frac{15}{8} [/tex]
helppppppppppp please
Answer:
6
.......
.
...........
Don’t mind answers in boxes
what is the answer of 380 x 690 estimate
Answer:
26200
Step-by-step explanation:
exactly 262200
A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 and 6 grams of fiber. Each teaspoon of sugar has 5 carbohydrates. Each gram of fiber counts as a carbohydrate when counting total carbohydrates. If the recipe already has 10 carbohydrates per serving from other sources, create a linear programming feasible region to minimize the total carbohydrates in the recipes nutrition profile.
Answer:
aaaaaaaa nad its by
Step-by-step explanation:
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
need help with this algebra ii question
The parabola crosses the x-axis at x = 1 and x = -3.
x - 1 = 0
x = 1
x + 3 = 0
x = -3
b = 3
Hope this helps!! :)
can someone help me with this it’s due!!!
Answer:
10 feet tall
Step-by-step explanation:
(Triangle problem was answered in a previous question)
So like before, we have a ratio: 1.5inches:2.5feet
We have a starting value as well: 6 inches
All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)
To begin, dvide 6 by 1.5
6inches/1.5inches = 4 (The units canceled out during division)
Not multiply by the ratio:
4 * 2.5feet = 10 feet (It takes the units in feet)
Therefore, the tree is actually 10 feet tall.
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
Please help me thank you!!
Answer:
what the hell
Step-by-step explanation:
Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?
please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
Please Help!!!!!!!!!!!
what is the ninth term of the arithmetic sequence a(n)=14 + 2(n-1)?
A. 21
B. 23
C. 30
D. 32
Answer:
C= 30
Step-by-step explanation:
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
Tap X can fill a bath in 12 minutes.
Tap Y can fill a bath in 6 minutes.
How long will it take to fill the bath with both taps running at the same time?
============================================================
Explanation:
Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.
Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.
Add the two unit rates: 6+12 = 18
If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.
Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.
18x = 72
x = 72/18
x = 4
It will take 4 minutes if both taps are running at the same time.
1/5 x 7/8 in simplest form s
Answer:
[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
7/40
Step-by-step explanation:
7 cant go into 40 so it just stays as 7/40
Find the missing value so that the line passing through the points has the given slope.
(7,1) and (x,4); m = 3/4
Answer:
11
Step-by-step explanation:
4-1=3/11-7=4
4✓6 × 3✓6
multiply and simplify
show work
Answer:
3
√
2
Explanation:
First put change the words into an equation:
√
3
×
√
6
Now you can multiply them together as you would normally multiply:
√
3
×
√
6
=
√
18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6
3
/ \
2
3
As you can see, we have a square:
3
×
3
=
9
So take
√
9
out of
√
18
. You should have:
√
9
√
2
But since
√
9
=
3
we can simplify further to make:
√
9
√
2
→
3
√
2
Step-by-step explanation:
Álgebra ajajajajajajajajaja
Calculate the range of change and identify the y-intercept. who ever answer this gets ranked.
Find the value of (64)1/2x(125)1/3