Step-by-step explanation:
2t + 8 > - 4( t + 1)
2t + 8 > - 4t - 4
2t + 4t < - 4 +8
6t < 4
Divide both sides by 6
T < 4
6
t < 2
3
I think that is the answer
Hope it helps :)
Please be careful about the sign
PLEASE HELP ASAP!
Let f(x)=x²-x-12 and g(x)= x -4.
What value can the expression (f/g)(x) never equal?
Answer:
7
Step-by-step explanation:
This function can never equal 0. Why? well here:
(f/g)(x) also just means [tex]\frac{f(x)}{g(x)}[/tex]. In this case, we get [tex]\frac{x^2-x-12}{x-4}[/tex] Or [tex]\frac{(x+3)(x-4)}{x-4}[/tex]. It seems like you can cancel out x-4 and bam, you get x+3 and any value should work.
However, x can never equal 4 because 4 leads to a case where you divide by 0. This is called discontinuity. Thus, the value you can't get is x=4, or 7 because when you plug 4 in, you get 0/0. Otherwise, any other real value is defined by x+3.
1, 2, 3, 5, 8, ____, ____, ____ Give the next three numbers in the pattern.
Answer: 10, 12, 14 are the next numbers
Explanation:
The scale on the map is 1 centimeter is equal to 25 kilometers. On the map, the distance the towns along the highway is 4.5 centimeters. Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving. How many liters of gasoline to the nearest liter will Tori need to drive from one of these town to the other?
Answer: About 14 liters of gasoline is required.
Step-by-step explanation:
On the map,
1 centimeter= 25 kilometers.
Distance the towns along the highway is 4.5 centimeters.
Actual distance = 4.5 x 25 km
= 112.5 km
Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving.
Total gasoline required = 0.123 x 112.5 km
= 13.8375 liters≈ 14 liters
hence, about 14 liters of gasoline is required.
Find the sum
-13.6 + (-14.4)
Answer:
-28
Step-by-step explanation:
Answer:
→The sum of -13.6 + (-14.4) is -28.
Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3
Answer:
23
Steps ig
((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23
Margaret drank 1/6 of a 36oz. Bottle of soda. She gives the rest of the bottle to her friend Jamie who drinks 2/3 of the soda in the bottle. Jamie then gives the rest of the bottle to her friend Taylor. How much soda is left in the bottle when Taylor gets it? Group of answer choices
Answer:
The amount of soda that is left in the bottle when Taylor get it is 1/6 = 6 oz of soda.
Step-by-step explanation:
Let the total quantity of soda left in the bottle be represented by 1
Total quantity of the bottle = Fraction of what( Margaret + Jamie + Taylor) drank
Margaret drank = 1/6 of the soda
= 1 - 1/6
= 5/6 of soda is left
Jamie drank = 2/3 of what is left
= 5/6 - 2/3
LCM of denominators = 6
= 5 - 4/6
= 1/6
Hence, what is left is 1/6 of the soda.
The size of the soda = 36 oz
1/6 × 36oz
= 6 oz
This means the amount of soda that is left in the bottle when Taylor get it is 6 oz of soda.
The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.
Fa
fol
Br
50
++ +
++
10 20 30 40
Typical Gas Mileage
(Miles Per Gallon)
Due:
Based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least how many miles per gallon?
Not entirely sure but it may be 35 mpg.
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
Answer:48-32=16 so you get 16 more oz. of maple syrup for $1 more so the answer is 48 ounces for $4.99.
Step-by-step explanation:
Please let me know WHY you choose your answers please, I want to understand this more.
Answer:
A. no
B. yes
C. yes
Step-by-step explanation:
A. not enough information is given other than the fact that ∠E ≡ ∠B (45°)
B. SAS (side angle side). To make ∠ABC into ∠DEF, you need to multiple the side lengths in ∠ABC by 3/2
12/x = 8 .... rearrange .... x = 3/2
C. AA (angle angle). ∠A is congruent to ∠Y and this is given by those two lines. ∠B is congruent to∠Z and this given because it has one line. This means that the other angle (C and X) would be congruent.
Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the
small candles sell for $10 each. She needs to raise $600. Write a function to represent how many of each type of candle Kaylee needs to sell. Let x represent the number of large candles, and let y represent the number of
small candles
Answer:25(20)+10(10)=600
X Y
Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC?
answers:
Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE.
Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Answer:
B would be the answer
Step-by-step explanation:
If you reflect the triangle ABC onto EDC then you will see that they are congruent and equal.
this means that <ABC ~ <EDC
The AA postulate states that if two corresponding angles of two or more triangles are congruent then the triangles are similar. If you translate ABC onto EDC you can see that all of the angles let alone two are all congruent thus proving that ABC = EDC
Pls mark brainliest if I helped.. Thanks:)
Option (B) is the correct answer.
What is AA postulate?According to the AA postulate, triangles are comparable if two matching angles of two or more triangles are congruent.
Given that,
∠ABC = 45° and ∠ECD = 45°
Angle-Angle or AA similarity postulate,
When triangle ABC reflect onto EDC, then triangle will be congruent and equal.
Implies that ΔABC ≅ ΔDEC.
Hence, option (B) is the correct answer.
To know more about AA postulate on:
https://brainly.com/question/2819482
#SPJ5
The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using? Explain or show your reasoning.
Find another way to express the scale.
Answer:
Step-by-step explanation:
I ha d the same question! what I’ve been seeing is 1 m = 4 cm if it makes sense ..
Adding fractions
1/5 + 2/22
Answer:
16/55
Step-by-step explanation:
Answer: 16/55
Step-by-step explanation:1
5
+
2
22
=
1 × 22
5 × 22
+
2 × 5
22 × 5
=
22
110
+
10
110
=
22 + 10
110
=
32
110
=
32 ÷ 2
110 ÷ 2
=
16
55
A
B
The transformation shown is a reflection.
True
False
Answer:
There is no photo to go off of
Step-by-step explanation:
Answer:
There isn't a photo so how we suppost to answer this..?
Step-by-step explanation:
Purpose is important because it reminds you why you're doing what you're doing when things get tough
O True
O False
Order these numbers in ascending order: 0.001, 2100, 20, 1001.
Answer:
0.001, 20, 1001, 2100
Step-by-step explanation:
Y is between X and Z, XZ = 14, and YZ = 11.4. Find XY.
place these numbers from least to greatest. ( PLS HELP!)
Answer: second option
Step-by-step explanation:
Sqrt 3= 1.73
Sqrt 6= 2.45
pi= 3.14
find the area of a rectangle with lenght ( x + 3 ) units and breadth ( x -2) units
Which statement that follows is true?
Answer:
=
Step-by-step explanation:
F(X) = 2X -7 Find F(-1)
Answer:
f(-1)=-9
Step-by-step explanation:
f(x)=2x-7
f(-1)=2(-1)-7
f(-1)=-2-7
f(-1)=-9
The guotient of z and 10 increased by 32.
(Algebraic expression)
Answer:
z/10 + 32
Step-by-step explanation:
PLEASE HELP. "ANSWER ONLY IF YOU KNOW THE ANSWER"
Answer:
The x intercepts are (-5, 0) and (2, 0)
The y intercept is (0, -10).
Step-by-step explanation:
The x intercepts are (-5, 0) and (2, 0)
When you set the numbers x + 5 and x - 2 equal to zero, you solve for x and that becomes the x-intercept.
The y intercept is (0, -10).
When you multiply the numbers, you result in [tex]x^{2} +3x - 10[/tex].
Then, set the x values to 0 and evaluate. That leaves you with -10, which is the y-intercept.
18.79+2.11+(-1.92)+17.28
Answer:
36.26
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
36.26
Step-by-step explanation:
Convert 23 miles to feet. (1 mile -= 5280 feet)
Answer:
121, 440 ft
Step-by-step explanation:
5280*23= 121, 440 ft
plz and thank you. for class
Answer:
[tex] {20}^{2} + {x}^{2} = {22}^{2} \\ 400 + {x}^{2} = 484 \\ {x}^{2} = 84 \\ x = 9.17[/tex]
30-9,17=20.83
Answer:
20.83
Step-by-step explanation:
what is the formula of polygons of triangle?
Elena wants to buy a jacket that is originally priced at x dollars.
The price of the jacket is discounted by 30%.
The expression that represents its
discounted price is 0.7x.
Which of the following expressions represents another way to show the discounted price of the jacket?
Answer:
Step-by-step explanation:
If 0.7x represents the discounted price, then another way to show this is:
x+70%
[tex]\frac {a} {x} = \frac {70} {100}[/tex]
x-30%
x÷0.3
PLEASE! I WILL GIVE BRAINLIEST THIS IS DUE TONIGHT! Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that these two shapes are congruent?
Need help Asap, Tysm if you respond!!
Answer:
20
Step-by-step explanation:
insert those variable values like this
[tex]( 4 + 8) {}^{2} \div 4 - 2(8)[/tex]
if you want more explanations pm me