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Natali [406]
3 years ago
12

Which value of b would make x²+bx-30 factorable? A. -31 B. -17 C. 11 D. 13

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
I think the answer is. D 14
dimulka [17.4K]3 years ago
5 0

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b±\sqrt{b^{2}-4ac} /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since \sqrt{13^{2}-4*1*(-30) = \sqrt{289} = 17. So b=13.

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What is the similarity ratio of ΔABC to ΔDEF?<br> Tri ABC: AC=4 CB=5<br> Tri DEF: DF= 2
alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ \frac{AC}{DF} =\frac{BC}{EF}

⇒ \frac{4}{2} =\frac{5}{EF}

⇒ 4EF=5\times2

⇒ EF=\frac{5\times 2}{4}

⇒ EF=\frac{5}{2}

Ratio of ΔABC to ΔDEF = \frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}

Similarly, ratio of ΔABC to ΔDEF = \frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

6 0
3 years ago
Solve H=p-a/3w for p
IRINA_888 [86]
The variable we need to isolate is P. In order to do so, we add a / 3w on both sides. 

P = H -\frac{a}{3w}
7 0
3 years ago
Find the inequality represented by the graph.
spin [16.1K]

Answer:

y

Step-by-step explanation:

6 0
3 years ago
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up
disa [49]

Answer:

Therefore the maximum number of video games that we can purchase  

is 6.

Step-by-step explanation:

i) Let us say the number of video game system we can buy that costs $185

 is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

   system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

   number  of game systems that can be bought is 1.

 Therefore x = 1.

 Therefore the equation we can write to equate the number of video

  games  and video game system is given by $185 + $14.95 × y ≤ 280

  Therefore 14.95 × y ≤ 280 - 185 = 95

  Therefore y ≤   95 ÷ 14.95 = 6.355

  Therefore the maximum number of video games that we can purchase  

   is 6.

5 0
3 years ago
A grocery store has 5 pounds of gronola. one customer buys 2 3rds pounds of gronola and another buys 5 6ths pounds. after these
Kryger [21]

Answer:

3 1/2 Pounds

Step-by-step explanation:

2/3=4/6

4/6+5/6=9/6

30/6-9/6=21/6

8 0
2 years ago
Read 2 more answers
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